Content, Pedagogy and Knowledge Flashcards

1
Q

Generally describe three periods of communication development normally occurring within a child’s first five years of life.

A

Language and communication development depend strongly on the language a child develops within the first five years of life. During this time, three developmental periods are observed. At birth, the first period begins. This period is characterized by infant crying and gazing. Babies communicate their sensations and emotions through these behaviors, so they are expressive; however, they are not yet intentional. They indirectly indicate their needs through expressing how they feel, and when these needs are met, these communicative behaviors are reinforced. These expressions and reinforcement are the foundations for the later development of intentional communication. This becomes possible in the second developmental period, between 6 and 18 months. At this time, infants become able to coordinate their attention visually with other people relative to things and events, enabling purposeful communication with adults. During the third developmental period, from 18 months on, children come to use language as their main way of communicating and learning. Preschoolers can carry on conversations, exercise self-control through language use, and conduct verbal negotiations.

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2
Q

Identify some milestones of normal language development in children by the time they are 2 years old.

A

By the time most children reach the age of 2 years, they have acquired a vocabulary of about 150 to 300 words. They can name various familiar objects found in their environments. They are able to use at least two prepositions in their speech, for example in, on, and/or under. 2-year­olds typically combine the words they know into short sentences. These sentences tend to be mostly noun-verb or verb-noun combinations (e.g. “Daddy work,” “Watch this”). They may also include verb-preposition combinations ( e.g. “Go out,” “Come in”). By the age of 2 years, children use pronouns, such as I, me, and you. They typically can use at least two such pronouns correctly. A normally developing 2-year-old will respond to some commands, directions, or questions, such as “Show me your eyes” or “Where are your ears?”

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3
Q

Give a summary of some salient general aspects of human language abilities from before birth to five years of age.

A

Language and communication abilities are integral parts of human life that are central to learning, successful school performance, successful social interactions, and successful living. Human language ability begins before birth: the developing fetus can hear not only internal maternal sounds, but also the mother’s voice, others’ voices, and other sounds outside the womb. Humans have a natural sensitivity to human sounds and languages from before they are born until they are about 4½ years old. These years are critical for developing language and communication. Babies and young children are predisposed to greater sensitivity to human sounds than other sounds, orienting them toward the language spoken around them. Children absorb their environmental language completely, including vocal tones, syntax, usage, and emphasis. This linguistic absorption occurs very rapidly. Children’s first 2½ years particularly involve amazing abilities to learn language including grammatical expression.

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4
Q

Identify some milestones of typical child language development by the ages of 6 months, 12 months, and 18 months.

A

Individual differences dictate a broad range of language development that is still normal. However, parents observing noticeably delayed language development in their- children should consult professionals. Typically, babies respond to hearing their names by 6 months of age; turn their heads and eyes toward the sources of human voices they hear; and respond accordingly to friendly and angry tones of voice. By the age of 12 months, toddlers can usually understand and follow simple directions, especially when these are accompanied by physical and/or vocal cues. They can intentionally use one or more words with the correct meaning. By the age of 18 months, a normally developing child usually has acquired a vocabulary of roughly 5 to 20 words. 18-month­old children use nouns in their speech most of the time. They are very likely to repeat certain words and/or phrases over and over. At this age, children typically are able to follow simple verbal commands without needing as many visual or auditory cues as at 12 months.

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5
Q

Identify some developmental milestones associated with the normal language acquisition and communication of children at the age of 3 years.

A

By the time they are 3 years old, most normally developing children have acquired vocabularies of between 900 and 1,000 words. Typically, they correctly use the pronouns I, me, and you. They use more verbs more frequently. They apply past tenses to some verbs and plurals to some nouns. 3-year-olds usually can use at least three prepositions; the most common are in, on, and under. The normally developing 3-year-old knows the major body parts and can name them. 3-year-olds typically use 3-word sentences with ease. Normally, adults should find approximately 90 percent of what a 3-year-old says to be intelligible. Children this age comprehend most simple questions about their activities and environments and can answer questions about what they should do when they are thirsty, hungry, sleepy, hot, or cold. They can tell about their experiences in ways that adults can generally follow. By the age of 3 years, children should also be able to tell others their name, age, and sex.

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6
Q

Identify some of the milestones of typical language development in children at the age of 4 years.

A

When normally developing children are 4 years old, most know the names of animals familiar to them. They can use at least four prepositions in their speech (e.g. in, on, under, to, from, etc.). They can name familiar objects in pictures, and they know and can identify one color or more. Usually they are able to repeat four-syllable words they hear. They verbalize as they engage in their activities, which Vygotsky dubbed “private speech.” Private speech helps young children think through what they are doing, solve problems, make decisions, and reinforce the correct sequences in multistep activities. When presented with contrasting items, 4-year-olds can understand comparative concepts like bigger and smaller. At this age, they are able to comply with simple commands without the target stimuli being in their sight (e.g. “Put those clothes in the hamper” [upstairs]). 4-year-old children will also frequently repeat speech sounds, syllables, words, and phrases, similar to 18-month-olds’ repetitions but at higher linguistic and developmental levels.

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7
Q

Define personal narratives and their import relative to early childhood language development. Identify some elements necessary to personal narrative development and some of its benefits.

A

Personal narratives are the way that young children relate their experiences to others by telling the stories of what happened. The narrative structure incorporates reporting components such as: who was involved; where the events took place; and what happened. Understanding and using this structure is crucial to young children for their communication; however, many young children cannot follow or apply this sequence without scaffolding (temporary support as needed) from adults. Adults can ask young children guiding questions to facilitate and advance narratives. They can also provide learning tools that engage children’s visual, tactile (touch), and kinesthetic (body position and movement) senses. This reinforces narrative use, increases the depth of scaffolding, and motivates children’s participation. Children learn to play the main character; describe the setting; sequence plot actions; and use words and body language to express emotions. Topic-related action sequences or “social stories” are important for preschoolers to comprehend and express to promote daily transitions and self­-regulation. Such conversational skills attainment achieves milestones in both linguistic and emotional-social development.

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8
Q

Identify four achievements or processes that young
children’s oral language skills development enables.
Summarize the relationship between early oral
language development and later literacy achievement, according to research findings. Summarize the general
character of oral language skills in typical infants,
toddlers, and young preschoolers.

A

Crucial oral language development skills enable children to (1) communicate by listening and responding to others’ speech; (2) comprehend meanings of numerous words and concepts encountered in their listening and reading; (3) acquire information on subjects they are interested in learning about; and (4) use specific language to express their own thoughts and ideas. Research finds young children’s ability to listen to, understand, and use spoken and written language is associated with their later reading, spelling, and writing literacy achievement. Infants typically begin developing oral language skills, which continue developing through life. Babies develop awareness of and attend to adult speech, and soon begin communicating their needs via gestures and speech sounds. Toddlers express emotions and ideas and solicit information via language. They start uttering simple sentences, asking questions, and giving opinions regarding their likes and dislikes. Young preschoolers expand their vocabularies from hearing others’ speech and from books. They describe past and possible future events and unseen objects; tell fictional “make-believe” stories; and use complete sentences and more complex language.

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9
Q

Identify some milestones indicating typical language development in 5-year-old children.

A

Once most children have reached the age of 5 years, their speech has expanded from the emphasis of younger children on nouns, verbs, and a few prepositions, and is now characterized by many more descriptive words, including adjectives and adverbs. 5-year-olds understand common antonyms, e.g. big/little, heavy /light, long/short, hot/cold. They can now repeat longer sentences they hear, up to about nine words. When given three consecutive, uninterrupted commands, the typical 5-year-old can follow these without forgetting one or two. At age 5 most children have learned simple concepts of time like today, yesterday, tomorrow; day, morning, afternoon, night; and before, after, and later. 5-year-olds typically speak in relatively long sentences, and normally should be incorporating some compound sentences (with more than one independent clause) and complex sentences (with one or more independent and dependent clauses). 5-year-old children’s speech is also grammatically correct most of the time.

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10
Q

Explain how play-based activities for young children have underpinnings of narrative thought and planning, and how such play activities can facilitate conflict resolution.

A

When young children play, they often enact scenarios. Play scenarios tell stories that include who is involved, where they are, what happens, why it happens, and how the “actors” feel about it. Children engage in planning when they decide first what their playing will be about; which children are playing which roles; and who is doing what. This planning and the thought processes involved reflect narrative thinking and structure. Children who experience difficulties with planning play are more likely to avoid participating or to participate only marginally. Since playing actually requires these thought and planning processes, children who do not play spontaneously can be supported in playing by enabling them to talk about potential narratives/stories as foundations for play scenarios. When conflicts emerge during play, conversation is necessary to effect needed change. Narrative development constitutes gradual plot development; play conflicts are akin to fictional/personal narrative problems and result in changed feelings. Adults can help young children discuss problems, identify the changed feeling they cause, and discuss plans/actions for resolution.

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11
Q

Discuss natural vs. intentional conversation of adults
with young children; general ways adults can provide linguistic interactions to develop young children’s oral language skills and the implications of these for later
learning; and some important ways whereby young
children build language skills in listening and
speaking.

A

Children enjoy conversing with significant adults, including parents, caregivers, and teachers; and they require practice with doing so. Caregivers tend to talk with young children naturally, sometimes even automatically, throughout the day, which helps children develop significant language skills. However, caregivers can enhance young children’s oral language development further through intentional conversations. One element of doing this is establishing an environment that gives the children many things to talk about and many reasons to talk. Another element of intentionally promoting oral language skills development is by engaging in shared conversations. When parents and caregivers share storybook reading with young children, this affords a particularly good springboard for shared conversations. Reading and conversing together are linguistic interactions supplying foundations for children’s developing comprehension of numerous word meanings. Researchers find such abundant early word comprehension is a critical basis for later reading comprehension. Asking questions, explaining, requesting what they need, communicating feelings, and learning to listen to others talk are some important ways whereby children build listening, understanding, and speaking skills.

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12
Q

Note some elements that adults should include in their
conversations with young children for building strong oral language skills and some things adults should
consider regarding their linguistic interactions with
young children to ensure they incorporate these
elements.

A

Adults should converse with young children so the children get practice with: hearing and using rich and abstract vocabulary and increasingly complex sentences; using language to express ideas and ask questions for understanding; and using language to answer questions about past, future, and absent things rather than only about “here-and-now” things. To ensure they incorporate these elements in their conversations, adults can consider the following: in the home, care setting, or classroom, whose voices are heard most often and who does the most talking; the child, not the adult, should be talking at least half of the time. Adults should be using rich language with complex structures when conversing with young children. Adults should be talking with, not at children; the conversation should be shared equally rather than adults doing all the talking while children listen to them. Adults should also ask young children questions, rather than just telling them things. Additionally, adult questions should require that children use language to formulate and communicate abstract ideas.

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13
Q

Explain some of the benefits of adults having 1:1
conversations with children, including repetition,
extension, revision, reflection, contextualization, and abstraction.

A

When parents, caregivers, or teachers converse 1:1 with individual children, children reap benefits not as available in group conversations. Caregivers should therefore try to have such individual conversations with each child daily. In daycare and preschool settings, some good times for caregivers to do this include when children arrive and leave; during shared reading activities with one or two children; and during center time. 1:1 talk allows the adult to repeat what the child says for reinforcement. It allows the adult to extend what the child said by adding more information to it, like new vocabulary words, synonyms, meanings, or omitted details. It allows the adult to revise what the child said by restating or recasting it. It allows the child to hear his or her own ideas and thoughts reflected back to them when the adult restates them. Moreover, 1:1 conversation allows adults to contextualize the discussion accordingly with an individual child’s understanding. It also allows
ad tilts to elicit children’s comprehension of abstract concepts.

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14
Q

Identify some techniques whereby teachers can support young children in attaining in-depth
comprehension of word meanings, including an example.

A

To support deeper word-meaning comprehension, teachers can give multiple definitions and examples for the same word and connect new vocabulary with children’s existing knowledge. For example, a teacher conducting a preschool classroom science experiment incorporates new scientific concepts with new vocabulary words and conversational practice: pouring water on a paper towel, the teacher asks children what is happening to the water. A child answers, “It’s going into the paper.” The teacher asks how. Another child says, “The paper’s soaking it up.” The teacher confirms this, teaches the word “absorb,” compares the paper to a sponge, and asks how much more water will be absorbed. A child responds probably no more since water is already dripping out. The teacher pours water on a plastic lid, asking if it absorbs. Children respond, “No, it slides off.” Confirming, the teacher teaches the word “repel.” This teacher has introduced new science concepts and new vocabulary words; engaged the children in conversation; related new concepts and words to existing knowledge; and added information to deepen comprehension.

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15
Q

Discuss some of the beneficial effects extended
conversations and turn-taking have on young
children’s oral language development, including an example of how adults can apply these.

A

When adults engage young children in extended conversations including taking many “back-and-forth” turns, these create the richest dialogues for building oral language skills. Adults make connections with and build upon children’s declarations and questions. Adults model richer descriptive language by modifying/adding to children’s original words with new vocabulary, adjectives, adverbs, and varying sentences with questions and statements. For example, a child shows an adult his/her new drawing, saying: “This is me and Gran in the garden,” the adult can build on this/invite the child to continue: “What is your gran holding?” The child identifies what they planted: “Carrot seeds. Gran said to put them in the dirt so they don’t touch.” The adult can then encourage the child’s use of language to express abstract thoughts: “What could happen if the seeds were touching?” The adult can then extend the conversation through discussion with the child about how plants grow or tending gardens. This introduces new concepts, builds children’s linguistic knowledge, and helps them learn to verbalize their ideas.

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16
Q

Explain some kinds of oral language skills that are
promoted in young children by adults’ narration of child activities and actions, and some general ways
that early childhood caregivers and teachers can do
this.

A

One oral language development technique adults can use is to narrate, i.e. describe what a child is doing as s/he does it. For example, a caregiver can say, “I see you’re spreading paste on the back of your paper flower-not too much so it’s lumpy, but not too little so it doesn’t stick. Now you’re pressing the flower onto your poster board. It sticks. ­good work!” Hence narration can be incorporated as prelude and segue to verbal positive reinforcement. This promotes oral language development by introducing and illustrating syntaxes. Communicating locations and directionality employs verbs and prepositions. Describing intensity and manner employs adverbs. Labeling objects/actions that are currently present/taking place with new vocabulary words serves immediately to place those words into natural contexts, facilitating more authentic comprehension of word meanings and better memory retention. Caregivers/teachers can narrate children’s activities during formal instructional activities and informal situations like outdoor playtime, snack time, and cleanup time, and subsequently converse with them about what they did.

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17
Q

Identify some general types of topics that young
children enjoy talking about, with brief examples. Give a couple of examples of how a teacher can recast and
extend children’s statements to increase new
vocabulary and make complete sentences.

A

Personal content is important with young children, who enjoy talking about themselves; e.g., what their favorite color is or where they got their new shirt; about their activities, like what they are constructing with Legos or shaping with Play-Doh; or about familiar events and things that access their knowledge, like their family activities and experiences with neighbors and friends. Here is an example of how a teacher can make use of children’s conversation to reinforce it, expand it, and teach new vocabulary and grammar. The teacher asks a child what s/he is building and the child answers, “A place for sick animals.” The teacher asks, “You mean an animal hospital [or vet clinic]?” and the child confirms. When a child says someone was taken to a hospital “in the siren,” the teacher corrects the usage: “They took him to the hospital in the ambulance with the siren was sounding?” This recasts “siren” with the correct word choice, “ambulance.” It incorporates “siren” correctly and extends the statement to a complete sentence.

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18
Q

Use some examples illustrating how teachers can support young children in using storytelling to organize their thoughts, practice new vocabulary, and exercise their imagination.

A

Young children like to communicate about their personal life experiences. When they can do this through narrative structure, it helps them use new words they are learning, organize their thoughts to express them coherently, and engage their imaginative powers. Teachers/caregivers can supply new words they need; model correct syntax for sentences by elaborating on or extending child utterances and asking them questions; and build further upon children’s ideas. For example, a teacher asks a child what they did at her sister’s birthday party. When the child describes the cake and makes gestures for a word she doesn’t know, the teacher supplies “candles,” which the child confirms and repeats. When the child then offers, “Mom says be careful with candles,” the teacher asks what could happen if you’re not careful, the child replies that candles can start a fire. In this way, teachers give young children models of sentence structure, teach vocabulary, and guide children in expressing their thoughts in organized sequences that listeners can follow.

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19
Q

Discuss some ways that shared reading of books with young children builds oral language skills; the best general book characteristics for preschoolers; and some recommended book types and features.

A

and discuss the content, giving great opportunities for building oral language through conversation. Books with simple text and numerous, engaging illustrations best invite preschoolers to talk about the characters and events in the pictures, and the plotlines they hear. Children’s listening and speaking skills develop; they learn new information and concepts; their vocabularies increase; and their ability to define words and explain their meanings is enhanced through shared reading. Many children’s books include rich varieties of words that may not occur in daily conversation, used in complete-sentence contexts. Teachers should provide preschoolers with fictional and nonfictional books; poetry and storybooks; children’s reference books like picture dictionaries/encyclopedias; and “information books” covering single topics like weather, birds, reptiles, butterflies, or transportation whereby children can get answers to questions or learn topical information. Detailed illustrations, engaging content, and rich vocabulary are strong elements motivating children to develop oral language and understand how to form sentences, how to use punctuation, and how language works.

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20
Q

Identify some things early childhood teachers can do during and after shared book reading with children to promote their development of abstract thought, including some examples.

A

Abstract thought is stimulated by asking young children to think about things not observed and/or current. During/after sharing books, teachers can ask children what else might happen in the story; what they imagine the story’s characters could be feeling or thinking-which also engages their imaginations; and ask them the meaning of the story’s events using questions necessitating children’s use of language to analyze this meaning. Teachers can ask younger children vocabulary words: “What did we call this animal?” and encourage them to use language by asking them to describe story details, like “How do the firemen reach people up high in the building?” Once younger children are familiar with a story, teachers can activate and monitor their retention and recall: “Do you remember what happened to Arthur the day before that?” Teachers can ask older children to predict what they think will happen next in a story; to imagine extensions beyond the story (“What would you do if…?”); and make conclusions regarding why characters feel/behave as they do.

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21
Q

Explain how new experiences and information
stimulate extended conversations with young
children, and how discussing events from different
times and places stimulates abstract thinking, while giving an example.

A

Topics with interesting, rich content that stimulate young children’s thinking are likelier to encourage them to engage in extended conversations. A teacher can base such conversations on experiences like exposure to interesting new objects/field trips. It is also a critical skill for young children to have conversations about past, future, and distant events. Their thinking is mostly concrete; getting them to discuss things that are not right here, right now, promotes their ability to think abstractly. For example, a teacher asks children what they saw visiting a construction site. One child says “a giant thing;” another supplies the word “crane;” a third specifies, “But a truck, not a bird.” The teacher asks what it was doing, and one child says, “Picking up a big thing.” The teacher supplies the term “I-beam,” and asks, “Why do you think that’s its name?” A child volunteers, “Because it looks like a big T?” The teacher affirms the response and then asks the children what they think I-beams are used for in construction.

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22
Q

Describe some techniques early childhood teachers can use to enhance the effects of shared reading on oral language development.

A

According to researchers’ findings, the effectiveness of shared reading experiences is related to the ways that adults read with young children. Rather than merely labeling objects or events with vocabulary words, teachers should ask young children to recall the shared reading, which monitors their listening comprehension and retention abilities. They should ask children to predict what will happen next based on what already happened in a book; speculate about what could possibly happen; describe characters, actions, events, and information from the shared reading; and ask their own questions about it. Shared reading with small groups of 1-3 children permits teachers to involve each child in the book by questioning and conversing with them about the pictures and plots. To teach vocabulary, teachers can tell children word meanings; point to illustrations featuring new words; relate new words to words the children already know; give multiple, varied examples of new words; and encourage children to use new words they learn in their conversations.

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23
Q

Explain how repeating shared readings of the same books builds young children’s language development, and how a thematic approach to shared reading also
does this.

A

Young children develop preferences for favorite books. Once they know a story’s plot, they enjoy discussing their knowledge. Teachers can use this for extended conversations. They can ask children who the characters are; where the story takes place; and why characters do things and events occur. They can ask specific questions requiring children to answer how much/how many /how far a distance/how long a time, etc. Teachers can also help children via prompting to relate stories to their own real-life experiences. In a thematic approach, teachers can select several books on the same theme, like rain forests or undersea life. This affords richer extended conversations about the theme. It also allows teachers to “recycle” vocabulary by modeling and encouraging use of thematically related words, which enhances memory and in-depth comprehension of meanings. Teachers can plan activities based on book themes, like painting pictures/murals, sculpting, making collages, or constructing models, which gives children additional motivation to use the new language they learn from shared readings of books.

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24
Q

Define print awareness in early childhood by identifying what components it includes.

A

Even before they have learned how to read, young children develop print awareness, which constitutes children’s first preparation for literacy. Children with print awareness realize that spoken language is represented by the markings on paper ( or computer screens). They understand that the information in printed books adults read comes from the words, not the pictures. Children who have print awareness furthermore realize that print serves different functions within different contexts. They know that restaurant menus give information about the foods available; books tell stories or provide information; some signs show the names of stores, hotels, or restaurants, and other signs give traffic directions or danger warnings. Moreover, print awareness includes knowledge of how print is organized, e.g. that words are combinations of letters and have spaces in between them. Children with print awareness also know that [English] print is read from left to right and top to bottom; book pages are numbered; words convey ideas and meaning; and reading’s purpose is to understand those ideas and acquire that meaning.

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25
Q

Cite some examples of things adults can do before reading a story aloud to young children that can enhance their development of print awareness, including examples of desirable child responses.

A

Before reading a story aloud, adults should tell young children its title and the author’s name. Then they can ask the children what an author does ( children should respond “write stories” or something similar). Giving the illustrator’s name, the adult also can then ask the children what illustrators do (children should respond “draw pictures” or something similar). Holding up the book, an adult can identify the front, spine, and back and ask the children if we start reading at the front or back ( children should respond “at the front”). Adults can show young children the illustration on the front cover of the book and ask them,
“From this picture, what do you think is going to happen in this story?” and remind them to answer this question in complete sentences. These exchanges before reading a story aloud activate children’s fundamental knowledge regarding print and books, as well as the last example’s exercising their imagination and language use.

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26
Q

Summarize some techniques a teacher can use during and after reading a story aloud to young children to enhance their developing print awareness and language skills.

A

When a teacher is reading a story aloud to young children, after reading each page aloud, s/he should have the children briefly discuss the picture illustrations on each page and how they relate to what the teacher just read aloud. After they read aloud each plot point, action, event, or page, they should ask the children open-ended (non yes/no) questions about what they just heard. This monitors and supports listening comprehension and memory retention/recall and stimulates expressive language use. When children associate something in the story with their own life experiences, teachers should have them explain the connection. As they read, teachers should stop periodically and ask the children to predict or guess what will happen next before continuing. This promotes abstract thinking, understanding of logical sequences, and also exercises the imagination. After reading the story, teachers should ask children whether they liked it and why /why not, prompting them to answer using complete sentences. This helps children to organize their thoughts and opinions and to develop clear, grammatical, complete verbal expression.

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27
Q

Give some examples of environmental print. Give examples of some ways adults can use environmental print to help young children develop prereading and reading skills.

A

Street signs, traffic signs, store and restaurant names, candy wrappers, food labels, product logos, etc.-all the print we see in everyday life­ are environmental print. Just as parents often play alphabetic games with children in the car (“Find something starting with A…with B…” etc.), adults can use environmental print to enhance print awareness and develop reading skills. They can ask children to find letters from their names on colorful cereal boxes. They can select one sign type, e.g. stop, one-way, or pedestrian crossing, and ask children to count how many they see during a car trip. They can have children practice reading each sign and talk about the phonemes ( speech sounds) each letter represents. Adults can take photos of different signs and compile them into a little book for children to “read.” By cutting familiar words from food labels, they can teach capitalized and lowercase letters; associate letters with phonemes; have children read the words; and sort words by their initial letters and by categories ( signs, foods, etc.).

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28
Q

After a teacher has elicited young children’s basic print and book awareness, describe some specific things s/he should do immediately before reading them a story aloud that will enhance their vocabulary learning, memory, spoken language use, and relation of written stories to real/personal life.

A

Just before reading a story aloud to young students, the teacher should identify vocabulary words in the story that s /he will need to go over with the children. The teacher can write these words on the board or on strips of paper. Discussing these words before the reading will give the children definitions for new /unfamiliar words, and help them understand word meanings within the story’s context. Teachers can also give young children some open-ended questions to consider when listening to the story. They will then repeat these questions during and after the reading. Questions should NOT be ones children can answer with yes/no. When discussing vocabulary words, the teacher can also ask the children to relate words to personal life experiences. For example, with the word fish, some children may want to talk about going fishing with parents. Teachers can encourage children to tell brief personal stories, which will help them relate the story they are about to hear to their own real-life experience, making the story more meaningful.

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29
Q

Define the alphabetic principle. Explain its significance
relative to print awareness and reading skills. Summarize the order in which children gain alphabetic knowledge, giving some examples of
activities wherein children learn, respectively, the
names and shapes of letters.

A

The alphabetic principle is the concept that letters and letter combinations represent speech sounds. Children’s eventual reading fluency requires knowing these predictable relationships of letters to sounds, which they can then apply to both familiar and unfamiliar words. Young children’s knowing the shapes and names of letters predicts their later reading success: knowing letter names is highly correlated with the ability to view words as letter sequences and to remember written/printed words’ forms. Children must first be able to recognize and name letters to understand and apply the alphabetic principle. Young children learn letter names first, via singing the alphabet song and reciting rhymes and alphabetical jump-rope chants (“A my name is Alice, I come from Alabama, and I sell Apples; B my name is Betty… “ etc.). They learn letter shapes after names, through playing with lettered blocks, plastic/wood/cardboard letters, and alphabet books. Once they can recognize and name letters, children learn letter sounds after names and shapes and spellings after sounds.

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30
Q

Give some general guidelines for instructing young children in the alphabetic principle.

A

To help young children understand that written or printed letters represent corresponding speech sounds, teachers should teach relationships between letters and sounds separately, in isolation, and should teach these directly and explicitly. They should give young children daily opportunities during lessons to practice with letter-sound relationships. These opportunities for practice should include cumulative reviews of sound-letter relationships they have already learned and new letter-sound relationships as well. Adults should begin early in providing frequent opportunities to young children for applying their increasing knowledge and understanding of sound-letter relationships to early experiences with reading. They can do this by providing English words that are spelled phonetically (i.e. spelled the same way that they sound) and have meanings that are already familiar to the young learners.

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31
Q

Give an example of how an early childhood teacher can assess a young child’s print awareness.

A

One way in which a teacher can get an idea of whether or to what extent a young child has developed print awareness is to provide the child with a storybook. Then the teacher can ask the child the following: “Show me the front of the book. Show me the back of the book. Show me the spine of the book. Where is the book’s title? Where in the book are you supposed to start reading it? Show me a letter in the book. Now show me a word. Show me the first word of a sentence. Can you show me the last word of a sentence? Now will you show me the first word on a page? Please show me the last word on a page. Can you show me a punctuation mark? Can you show me a capital letter? Can you find a small
letter /lowercase letter?” The teacher should also praise each correct response, supply the correct answers for incorrect responses, and review corrected answers.

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32
Q

Define the term self-concept relative to early childhood. Identify and define three types of “Self’ of which young children develop concepts.

A

Self-concept development begins during early childhood. Children come to identify characteristics, abilities, values, and attitudes that they feel define them. From 18-36 months, children develop the Categorical Self. This is a concrete view of oneself, usually related to observably opposite characteristics, e.g. child versus adult, girl versus boy, short versus tall, and good versus bad. A four-year-old might say, ‘Tm shorter than Daddy. I have blue eyes. I can help Mommy clean house!” Young children can also describe emotional and attitudinal aspects of self-concept, e.g. “I like playing with Joshua. I’m happy today.” Preschoolers do not usually integrate these aspects into a unified self-portrait, however. Also, many preschoolers do not yet realize one person can incorporate opposite qualities; a person is either good or bad to them, rather than having both good and bad qualities. The Remembered Self develops with long-term memory, including autobiographical memories and things adults have told them, to comprise one’s life story. The Inner Self is the child’s private feelings, desires, and thoughts.

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33
Q

Discuss some considerations related to the instruction of young children in phonics, including instructional rate and sequence.

A

Because children display individual differences in their speeds of learning sound-to-letter relationships, instruction should consider this; there is no set rate. Generally, a reasonable pace ranges from two to four sound-letter relationships per week. Relationships vary in utility: many words contain the sounds/letters m, a, t, s, p, and h, which are high ­utility; but x as in box, -gh as in through, -ey as in they, and the sound of a as in want are lower-utility. High-utility sound-letter relationships should be taught first. Teachers should first introduce consonant relationships using f, m, n, r, and s, which are continuous sounds children can produce in isolation with less distortion than word-initial or word-medial stops like p, b, t, d, k, and g. Teachers should also introduce similar-sounding letters like b and v or i and e, and similar­ looking letters like b and d or p and g, separately to prevent confusion. Single consonants versus clusters/blends should be introduced in separate lessons. Blends should incorporate sound-letter relationships children already know.

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34
Q

Identify some basic guidelines for early childhood teachers to promote print awareness in young students.

A

Teachers should show young children the organization of books and the purpose of reading. When they read to them, they should use books with large print, which are more accessible for young children to view and begin to learn reading. Storybook text should use words
familiar /predictable to young children. While reading together, teachers should point out high-frequency words like the, a, is, was, you; and specific letters, words, and punctuation marks in a story. Teachers can use index cards to label objects, areas, and centers in the classroom, pairing pictorial labels with word labels, and direct children’s attention to them. They can invite preschoolers to play with printed words by making greeting cards, signs, or “writing” shopping lists and personal letters. They should point out print in calendars, posters, and signs. Also, teachers can have children narrate a story using a wordless picture book; write down their narrative on a poster; and reinforce the activity with a reward related to the story (e.g. eating pancakes after narrating the book Pancakes).

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35
Q

Summarize some key elements of the philosophy and general methods of the whole language approach to teaching child literacy.

A

The whole language approach is based on constructivist philosophy and psychology: children construct their own knowledge through their interactions with their environments. In contrast to analytical approaches like phonics and alphabetic learning, constructivism views learning as an individual’s unique cognitive experience of acquiring new knowledge, shaped by the individual’s existing knowledge and personal perspective. Whole language instruction emphasizes helping children create meaning from their reading and express meaning in their writing. The whole-language philosophy emphasizes cultural diversity, integrating literacy instruction across subject domains, reading high-­quality literature, and giving children many opportunities for independent reading, small-group guided reading, and being read to aloud by teachers. Whole language believes children learn to read by writing and vice versa. Realistically purposeful reading and writing are encouraged, as is using texts that motivate children to develop a love for literature. Early grammatical/spelling/technical correctness is not stressed, which can be problematic for children with reading/language processing disorders, who need explicit instruction in decoding skills and strategies.

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36
Q

Define the Language Experience Approach (LEA). Identify a unique benefit of this method. Summarize four steps for implementing the LEA with young children.

A

The LEA teaches beginning reading by connecting students’ personal life experiences with written/printed words. A unique benefit is students using their own language and words, enabling them to interact with texts on multiple levels simultaneously. They thus realize they acquire knowledge and understanding through not just instruction, but also their own experiences. Four steps for implementing the LEA with EC groups: (1) Children and teacher choose a topic, like an exciting trip, game, or recent TV show, to discuss with teacher guidance. (2) Each child takes a turn saying a sentence using his/her own words that advances the discussion/story. The teacher writes the children’s words verbatim without corrections, visibly and clearly. (3) Every few sentences or several words, the teacher stops and reads the record aloud for children to confirm accuracy. ( 4) Record review: the teacher points to each word, they read aloud together, or children repeat after the teacher. The teacher gives children copies of the record for independent review and possible compilation into books of LEA stories.

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37
Q

Identify four steps in the directed reading activity
(DRA) practice of teaching lessons using the basal
reader approach. Characterize the nature of the directed reading-thinking activity (DR-TA) using basal
readers and its two main phases.

A

Using basal readers, the ORA comprises: (1) The teacher prepares children for reading by stimulating their motivation and introducing new concepts and/or vocabulary. (2) Students read silently, guided by teacher questions and statements. (3) The teacher develops student comprehension and students discuss characters, plots, or concepts to further comprehension. ( 4) After silent reading, students read aloud and read answers to teacher questions, known as “purposeful rereading.” (5) Students’ follow-up workbook activities/practice review comprehension and vocabulary. Some selections may include enrichment activities relating them to writing, art, drama, or music. The DR-TA approach is designed to develop critical readers through instruction in group comprehension. It requires children’s active engagement in reading by processing information, asking questions, and receiving feedback as they read. The first phase of DR-TA is the teacher’s direction of student thought processes throughout reading. The second phase involves developing student skills according to their needs as identified in phase 1, and additional extension or follow-up activities.

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38
Q

Explain in summary how the whole language teaching
approach addresses young children’s early mechanical errors in learning reading and writing, and when
more analytical methods are indicated. Name five
components researchers have identified as essential in any effective program for reading instruction.

A

The whole language approach concentrates on children’s seeking, finding, and constructing meaning in language. As such, young children’s early technical correctness is not the priority. Whole language teachers do not ignore children’s errors. However, they do not make correction more important than overall engagement, understanding, and appreciation of reading, writing, and literature. Instead, teachers make formative assessments taking into account the errors each child makes. Then they design learning experiences for children that give them opportunities and assistance in acquiring mechanically correct linguistic forms and structures. While this holistic approach finds analytical techniques that break language down into components like phonemes and alphabet letters less useful, children with language
processing/reading problems need to learn phonemic awareness, phonics, and other decoding skills to develop reading fluency. The National Reading Panel conducted a study (1997-2000) to resolve controversy over phonics vs. whole language as the best teaching method, finding that any effective reading instruction program must teach phonemic awareness, phonics, reading fluency, vocabulary development, and reading comprehension.

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39
Q

Describe the prevalence and some methods of the basal reader approach to reading instruction, including 21st-century changes from earlier basal readers.

A

The basal reader is America’s commonest approach, used in an estimated 75-85 percent of K-8th-grade classrooms. The number of publishers offering basal reading series has decreased to about one­fourth of that in the 20th century, decreasing teacher responsibility for investigating/piloting readers for district approval. Using basal readers is a skills-based/bottom-up approach. Teaching smaller-to-larger reading subskills in systematic, rigid sequence assists students’ transition from part to whole. Texts graded by reading level contain narration and exposition organized thematically by unit, including children’s literature and diverse other genres. Phonics and other specific instructional strands with practice assignments develop skills, which are assessed with end-of-unit tests. For young children, text decoding is enabled through exact control of vocabulary items and word analysis skills, “big [ enlarged] books,” and word and picture cards. 20th-century and older series sacrificed comprehension and enjoyment for vocabulary control and skill acquisition, but 21st-century series vary methods more (like multiple story versions or book excerpts enabling selection sharing), affording children more motivation to read.

40
Q

Identify and summarize four main differences between the directed reading activity (DRA) and directed reading-thinking activity (DR-TA) approaches to using basal readers in teaching reading.

A

(1) One main difference is that the DR-TA approach gives teachers all the responsibility and greater flexibility for developing lessons. As such it contains fewer directions than the ORA approach, which contains specific materials and questions to use, specific guidelines, and is more teacher-manual-oriented and materials-oriented. Therefore DR-TA can be used for not only basal readers, but also planning lessons in other curriculum areas involving reading; the ORA approach applies more directly to basal reader programs. (2) ORA manuals use mostly literal, factual questions, requiring only convergent thinking for student responses. However, in DR-TA, questions also demand divergent
(creative) thinking of students, stimulating higher-level reading comprehension and interpretation. (3) New vocabulary is pre-taught in the ORA approach before children read. The DR-TA approach excludes pre-teaching, realistically requiring student decoding of new vocabulary words during reading. ( 4) ORA manuals specify when to teach which skills for reading comprehension. DR-TA approaches do not, requiring more questioning expertise and acceptance of some alternative student responses by teachers.

41
Q

Provide a general overview of the importance of
problem solving skills in math, the abilities used
during problem solving tasks, and how adults can
promote the development of problem solving skills in young children.

A

Being able to solve problems is fundamental to all other components of mathematics. Children learn the concept that a question can have more than one answer and a problem can have more than one solution by participating in problem solving activities. To solve problems, a child must be able to explore a problem, a situation, or a subject; think through the problem, situation, or subject; and use logical reasoning. These abilities are needed to not only solve routine/everyday problems, but also novel/unusual ones. Using problem solving skills not only helps children think mathematically, but also promotes their language development and their social skills when they work together. Children are naturally curious about how to solve everyday problems. Adults can take advantage of this inherent curiosity by discussing everyday challenges, asking children to propose ways to solve them, and asking them to explain how they arrived at their solutions. Adults can also invite children to propose problems and ask questions about them. This helps them learn to analyze different types of problems and realize that many problems have multiple possible solutions.

42
Q

Summarize several common steps completed during problem solving activities that prepare young children to learn math. Outline the additional skills children must develop to solve problems.

A

The process of solving problems often involves the following steps: understanding the problem; coming up with a plan to solve the problem; putting that plan into action; and, finally, observing the outcome and reflecting on whether the solution was effective, and whether the answer arrived at makes sense. Solving problems not only involves learning this series of steps, but also requires children to develop the qualities needed to solve problems. Children who are able to solve problems have a number of characteristics. For example, children who are effective problem solvers are able to focus their attention on the problem and its individual component parts. They can formulate hypotheses about the problem/situation, and then test them for veracity. They are willing to take risks within reason. They are persistent if they do not solve a problem right away, and do not give up if their first attempt at solving a problem is unsuccessful. They maintain flexibility, and experiment with alternate methods. They also demonstrate self-regulation skills.

43
Q

Explain how young children use problem solving skills in their daily lives, and include some examples. Identify two major problem solving skills used in abstract mathematics.

A

Young children continually explore their environments to unravel mysteries about how things work. For example, preschoolers use math concepts to understand that they have three toys, to comprehend that three fingers equals three toys, or to understand that two cookies plus one more equals three cookies. To do abstract mathematics in the future, young children will need two major skills that are also used to solve problems: being able to visualize a scenario, and being able to apply common sense thinking. Thinking and planning to achieve goals within the constraints of the properties of the surrounding environment is a natural behavior for young children. They will persist in their efforts to get an older sibling to stop another activity to play with them, to repair broken toys with tape or chewing gum, to manipulate a puzzle or plastic building blocks to get one uncooperative piece to fit, etc. The great 20th century mathematician and teacher George Polya stated that problem solving is “the most characteristically human activity.” He pointed out that problem solving is a skill learned by doing, and that developing this skill requires a great deal of practice.

44
Q

Give some examples of games/activities that adults can use to encourage children to use the kinds of problem solving skills they will need to learn mathematics.

A

One method that has been found to enhance children’s reasoning skills is using adult-child conversations to play mental mathematics games. For example, once children are able to count beyond five, adults can give them basic oral story problems to solve ( e.g., “If you have two plums and I give you two more, how many will you have?”). Using children’s favorite foods in story problems, which takes advantage of their ready ability to envision these foods, is a good place to start. Thereafter, adults can add story problems involving pets, toys, cars, shopping, and other familiar objects/animals/activities. Experts advise adults not to restrict the types of problems presented to a child based solely on the child’s grade level. Children can work with any situation if they can form mental imagery. Adults can sometimes insert harder tasks (e.g., problems involving larger numbers, problems involving division with remainders, or problems with negative number answers). Even toddlers can solve problems such as how to divide three cookies between two people. The division may not be fair, but it will likely be efficient. Adults should use the Socratic method, asking guiding questions to allow children to arrive at a solution to a problem themselves, rather than telling them a “right” answer.

45
Q

Relate some beneficial practices adults can use when playing mental math games with young children to
develop problem solving skills. Briefly describe an
example of an abstract algebra-related activity that
children can progress to by the end of early childhood.

A

Adults can use children’s favorite foods and toys to pose story problems to children that involve addition and subtraction. For example, they can ask them questions like “If I give you [this many] more, how many will you have?” or “If we take away [this many], how many are left?” It is better to ask children questions than to give them answers. It is important to use turn taking. In this method, the adult poses a story problem to the child, and then the child gets to pose one to the adult. Adults must try to solve the problem, even if the child makes up numbers like “bazillion” or “eleventy.” Games should be fun, not strictly factual like math tests. Adults can introduce age-appropriate story topics as children grow older. At the end of early childhood/around school age, children can handle the abstract algebraic concept of
variables/unknown numbers (which some experts call “mystery numbers”) and use this concept in games. Adults can pose riddles where “x” or “n” is the unknown number, and children must use an operation ( e.g., x + 4 = 7) to solve the riddle.

46
Q

Give some general examples of how adults can
communicate with children to promote their
mathematical reasoning skills, and provide some
examples of how children communicate math concepts they have learned.

A

Adults reciprocally talk to and listen to children during communication that is focused on using mathematical skills like problem solving, reasoning, making connections, etc. To promote young children’s understanding, adults can express mathematical concepts using pictures, words, diagrams, and symbols. Encouraging children to talk with their peers and adults helps them clarify their own thoughts and think about what they are doing. Communicating with children about mathematical thinking problems also develops their vocabularies and promotes early literacy and reading skills. Adults should listen to what children want to say, and should have conversations with them. Communicating about math can also be accomplished through reading children’s books that incorporate numbers and/or repetition or rhyme. In addition to talking, adults can communicate math concepts to children by drawing pictures or diagrams and using concrete objects (e.g., blocks, crayons, pieces of paper, fingers, etc.) to represent numbers and/or solve problems. Children also share their learning of math concepts through words, charts, drawings, tallies, etc. Even toddlers hold up fingers to tell others how old they are.

47
Q

Summarize how children use reasoning skills to understand and apply early mathematical and scientific concepts. Give some examples of how adults can support this process.

A

A major component of problem solving is reasoning. Children reason when they think through questions and find usable answers. They use reasoning skills to make sense of mathematical and scientific subject matter. Children use several abilities during the reasoning process. For example, they use logic to classify objects or concepts into groups. They follow logical sequences to arrive at conclusions that make sense. They use their analytical abilities to explain their own thought processes. They apply what they have learned about relationships and patterns to help them find solutions to problems. They also use reasoning to justify their mental processes and problem solutions. To support children’s reasoning, adults can ask children questions, give them time to think about their answers, and listen to their answers. This simple tactic helps children learn how to reason. Adults can also ask children why something is as it is-letting them think for themselves rather than looking for a particular answer-and listen to the ideas they produce.

48
Q

Briefly discuss the role of making connections in children’s early mathematical development, and explain how teachers can help children make the transition from intuitive to formal math thinking.

A

Children informally learn intuitive mathematical thinking through their everyday life experiences. They naturally apply mathematical concepts and reasoning to solve problems they face in their environment. However, one frequent problem among children when they begin formal education is that they can come to see academic mathematics as a collection of procedures and rules, instead of viewing it as a means of finding solutions to everyday, real-life problems. This view will interfere with children’s ability to apply the formal mathematics they learn to their lives in a practical and useful way. Teachers can help prevent this outcome by establishing the connection between children’s natural intuitive math and formal mathematics. They can do this by teaching math through the use of manipulative materials familiar to children. They can use mathematics vocabulary words when describing children’s activities, which enables children to develop an awareness of the natural mathematical operations they use in their daily lives. When a teacher introduces a new mathematical concept to children, s/he can give illustrative examples that draw upon the children’s actual life experiences.

49
Q

Summarize the role of mathematics in and its relationship to everyday life and other academic subjects. Give some examples of how adults can help children recognize these connections.

A

We use math throughout our lives during everyday activities. There are countless examples and combinations of various mathematical concepts in the real world. Additionally, math concepts inform other academic content areas, including music, art, and the sciences. Therefore, it is important for children not to view math as an isolated set of procedures and skills. Children comprehend math more easily when they can make connections, which involve applying common mathematical rules to multiple, varied functions, processes, and real-life activities. For example, adults can ask children to consider problems they encounter daily and solve them. When a parent asks a child to help put away groceries, the child practices sorting categories of foods and packages, and experiments with comparative package sizes and shapes. Parents need not be concerned with what specific mathematical processes are involved, but should simply look for examples of math in everyday life and expose children to these examples on a regular basis. For example, pouring liquid into containers of various sizes and speculating which one will hold the most is an easy, fun activity that incorporates a number of skills and concepts, including estimation, measurement, spatial sense, and conservation of liquid volume.

50
Q

Summarize the role of representation skills in
children’s learning and their ability to use early math
process skills, and provide a few examples. Provide an example of how teachers can help children apply these skills as they play /work with materials provided
in preschool math centers.

A

Young children develop an understanding of symbolic representation ­the idea that objects, written letters, words, and other symbols are used to represent other objects or concepts-at an early age. This is evident in their make-believe/pretend play, and in their ability to learn written language and connect it to spoken language. As children develop early math skills, representing their ideas and information they acquire helps them organize, document, and share these ideas and facts with others. Children may count on their fingers; create tallies using check
marks/tick marks and/or words; draw pictures or maps; and, as they grow older, make graphs. Teachers must help children apply mathematical process skills as they use learning center materials. For example, when a child enjoys sorting rocks by color, the teacher can state that the child is classifying them, bridging informal math activities with math vocabulary. Asking the child how s/he is categorizing the rocks emphasizes math vocabulary. Asking the child after s/he finishes what other ways s/he could classify the rocks encourages problem solving.

51
Q

Define patterns and relationships, and indicate their significance to early math development. Give a few examples of basic skills that demonstrate comprehension of patterns and relationships.

A

Patterns are generally defined as things that recur or are repeated regularly. Patterns can be found in images, sounds, numbers, events, actions, movements, etc. Relationships are generally defined as connections or associations between things that are identified and/or described using logic or reasoning. Being aware of patterns and relationships among aspects of the environment helps us comprehend the fundamental structure of these aspects. This awareness enables us to predict what will occur next in a series of events, even before it actually happens. This gives us more confidence in our environment and in our ability to interact with it. We find patterns and relationships in such areas of life as art, music, and clothing. Math-specific activities like counting numbers and working with geometrical shapes, lines, arcs, and curves also involve patterns and relationships. When children understand patterns and relationships, they can understand repetition; rhythm; categorization; and how to order things from smallest to biggest, from shortest to longest, etc.

52
Q

Give some examples of things adults can do to help young children understand patterns and relationships, which will help prepare them for content mathematics.

A

Adults can help young children develop their understanding of patterns and relationships in life by looking at pictures and designs with them, encouraging and guiding them to identify patterns within drawings, paintings, and abstract designs such as prints on fabrics and other decorative designs. When children participate in movement activities, including dancing to music, running, skipping, hopping, playing simple musical instruments, etc., adults can help them identify patterns in their own and others’ movements. Adults can encourage young children to participate in hands-on activities, such as stringing wood, plastic beads, or penne and other hollow dry pasta tubes onto pieces of string to make necklaces with simple patterns (e.g., blue-yellow-blue-yellow). As children grow older, adults can encourage them to create more complicated patterns. They can alternate a larger number of colors, and they can vary the numbers of each color in more complex ways ( e.g., three blue, two yellow, one red, etc.).

53
Q

Explain the abilities in young children that are involved in number sense and number operations, and describe how these abilities contribute to math comprehension.

A

Counting is one of the earliest numeracy skills that young children develop. Even before they have learned the names of all the numbers, young children learn to count to three, then to five, etc. However, number sense involves a great deal more than just counting. Number sense includes understanding the various applications of numbers. For instance, we use numbers as tools for conveying and manipulating information, as tools for describing quantities, and as tools for characterizing relationships between or among things. Children who have developed number sense are able to count with accuracy and competence. Given a specific number, they can count upwards from that number. They can also count backwards. They are able to break down a number and then reassemble it. They are able to recognize relationships between or among different numbers. When children can count, are familiar with numbers, and have good number sense, they can also add and subtract numbers. Being familiar with numbers and being able to count easily helps young children understand all other areas of mathematics.

54
Q

Give some examples of activities adults can use with young children to help them develop number sense and numeracy skills.

A

As children complete their daily activities, it is beneficial for adults to count real things with children and encourage them to count as well. This helps children understand numbers by using their own experiences with objects in the environment, and gives them practice counting and using numbers. To help children understand that we use numbers to describe quantities and relationships, adults can ask children to sort objects by size, shape, or color similarity. They can also ask children to sort objects according to their differences (e.g., which object is bigger /smaller). Adults can also discuss with children how numbers are used to find street addresses and apartment numbers, and to keep score during games. To help children count upwards and downwards with efficiency and accuracy, adults can point out that counting allows us to determine how many items are in a group. Adults should point to each object as they count it. They can count on their fingers and encourage young children to do the same. Adults should also help children count without repeating or skipping any numbers.

55
Q

Define spatial sense and geometry relative to early
math development. Explain how young children
typically informally learn about spatial sense and
geometry. Give an example of how adults can promote geometric learning.

A

Spatial sense is an individual’s awareness of one’s own body in space and in relation to the objects and other people around the individual. Spatial sense allows young children to navigate environmental spaces without colliding with objects and other people; to see and hear adequately, and to be aware of whether others can see and hear them; and to develop and observe a socially and culturally appropriate sense of their own and others’ personal space. Geometry is the area of mathematics involving space, sizes, shapes, positions, movements, and directions. Geometry gives descriptions and classifications of our physical environment. By observing commonplace objects and spaces in their physical world, young children can learn about solid objects and substances, shapes, and angles. Adults can help young children learn geometry by identifying various shapes, angles, and three-dimensional figures for them; asking them to name these shapes, angles, and figures when they encounter them in the future; and asking them to describe different shapes, draw them in the air with their fingers, trace drawings of the shapes with their fingers, and then draw the shapes themselves.

56
Q

Give a few examples of general activities adults can use with young children to help them learn early geometrical concepts and develop spatial sense.

A

Because it involves many physical properties like shape, line, and angle, as well as abstract concepts, young children learn geometry most effectively via hands-on activities. Learning experiences that allow them to touch and manipulate concrete objects, such as boxes, containers, puzzles, blocks, and shape sorters, usually work best. Everyday activities can also help children learn geometry concepts. For example, adults can cut children’s sandwiches into various geometrical shapes and let children fit them together and/or rearrange them into new patterns. Children become better able to follow directions and navigate through space when they develop geometric knowledge and spatial sense. Adults can provide activities that promote the development of geometric knowledge and spatial sense. For example, they can let children get into and out of big appliance boxes; climb over furniture; and go into, on top of, out of, under, around, over, and through different objects and structures to allow children to experience the relationship between their bodies and space and solids. As they mature, children can play games in which they search for “hidden” shapes. Such shapes may be irregular, may lack flat bases, or may be turned in various directions.

57
Q

Define the term measurement relative to early math skills. Indicate what broad skills children can develop by learning about and practicing measurement.

A

Measurement is the process of determining how long, wide, and tall something is physically and how much it weighs by using measuring units such as inches, feet, yards, square feet, ounces, and pounds. Measurement is also used to quantify time using units like seconds, minutes, hours, days, weeks, months, years, centuries, millennia, etc. Measurement is not just a formal means of quantifying size, area, and time. It is also an important method for young children to seek and identify relationships between and among things they encounter outside of school in everyday life. When young children practice measuring things, they are able to understand not only the sizes of objects and beings, but also their comparative sizes (i.e. how large or small something is compared to another object used as a reference). Furthermore, they are able to figure out how big or little something is on their own.

58
Q

Provide some examples of how adults can help young children learn and practice measurement by integrating this early math skill into daily activities.

A

While it is obviously important for children to eventually learn standardized measurement units like inches, feet, yards, etc., adults can facilitate early development of measurement skills by letting children choose their own measurement units. For example, they might use their favorite toy to describe a playmate or sibling as “three teddy bears tall”; or they might describe a room as “seven toy cars long.” Similarly, when children are too young to know formal time measurements like minutes and hours, adults can support children’s ability to quantify time using favorite TV shows. For example, four-year-olds can often relate to the idea of one episode of a show (whether it is 30 minutes or 60 minutes long) as a time measurement. Adults can apply this with statements like, “Daddy will be home in one episode.” Numerous everyday activities, including grocery shopping, cooking, sewing, gardening, woodworking, and many others, involve measurement. Adults can ask children to help with these tasks, and then discuss measuring with children as they participate.

59
Q

Provide several examples of strategies adults can use to help younger children start learning about the measurement of time.

A

Younger children typically do not have an understanding of the abstract concept of time. However, adults can still help children understand that time elapses, and that we count/measure this process. For example, adults can ask younger children simple questions, such as “Who can stand on one foot longer?” This comparison strategy helps children figure out which of two or more actions/activities takes a longer /the longest period of time. Even when children do not yet understand what “five minutes” means, adults should still make such references (e.g., “You can play for five minutes longer, and then we must leave.”). Repeating such references will eventually help children understand that time passes. Adults can time various everyday activities/events and tell children how long they took They can also count the second hand’s ticks on a watch/clock (e.g., “one second … two seconds … three seconds … “). This familiarizes children with counting, and with using counting to track the passage of time. Until children are old enough to understand abstractions like today /yesterday /tomorrow, adults can use concrete references like “after lunch” or “before bedtime.”

60
Q

Explain how very young children approach fractions
according to Piaget’s cognitive developmental theory, what children need to know to comprehend fractions,
and how adults can help children comprehend
fractions.

A

Fractions are parts or pieces of a whole. While adults understand this and do not remember ever not understanding it, very young children think differently in this regard. As Piaget showed, children in the preoperational stage of cognitive development cannot perform logical or mathematical mental operations. They focus on one property of an object rather than all of its properties, a practice he called centration. Hence, if you cut an apple into pieces, very young children see that there are more pieces than there were before, and they believe that several apple pieces are more than one apple. They cannot yet comprehend the logical sequence of dividing an apple into fractions. To comprehend fractions, children must know what a whole unit consists of, how many pieces the unit is divided into, and whether the pieces are of equal size. Adults can help children understand fractions through informal sharing activities, such as slicing up a pizza or a pan of brownies, and/or equally dividing household/preschool chores and play materials.

61
Q

Define estimation, and identify the prerequisite
knowledge children need in order to estimate basic quantitative measurements. Identify three skills
related to estimation that are important for young
children to learn.

A

Estimation is making an educated or informed guess about a measurement when no actual measurement is available. As adults, we often make estimates about the sizes of objects when we do not know their exact measurements, about the amounts of substances we have not actually measured, and about the numbers of small objects in large collections when we have not actually counted the objects. However, young children are in the process of learning the concepts of sizes and numbers. Children must comprehend concepts of comparison and relativity (e.g., larger, smaller, more, less, etc.) before they will be able to make accurate estimates. When children start to develop the ability to estimate amounts or sizes, this process helps them learn related math vocabulary words, such as “about” or “around,” and “more than” and
“less than” [something else]. Through estimating, they also learn how to make appropriate predictions and arrive at realistic answers. It is important for young children to learn how to make estimates, to recognize when it is appropriate to apply the estimation method, and to recognize when their estimates are reasonable.

62
Q

Give several examples of activities adults can use with young children to help them understand and practice the early math skill of estimation.

A

To accustom young children to the idea of estimating, adults should regularly use words related to estimation in their conversations with children (e.g., “around,” “about,” “approximately,” “near,” “more than [some other amount or number],” “less than [some other amount or number],” “between [two numbers or amounts],” etc.). During everyday activities like shopping or eating, adults can ask children to estimate amounts of foods, numbers of items, or lengths of time. Later, adults can help children compare the actual outcome with their original estimate. This process helps children learn to make realistic/reasonable estimates. Activities promoting estimation skills can be very simple. Adults can ask children, for example, to guess which of their friends is tallest, and then test the accuracy of the guess using real measurements. When children grow older, adults can write down estimates and real measurements, and can then repeat the exercise described above or present a similar one. With repetition, children will eventually begin making more accurate estimates. The goal is not for children to come up with exact measurements, but ones that are close to actual
amounts/numbers. Giving children opportunities to practice improves their estimating skills.

63
Q

Provide a general description of how people use probabilities and statistics in everyday life. Briefly explain how adults can help children use calendars.

A

In general, when people work with statistics, they present them in graphs or charts to organize them, interpret them, and make it easier to see relationships among individual statistics. Graphs are a visual alternative that depict mathematical information and show relationships among individual statistics, especially changes over time. Graphs also allow for the comparison of different groups. Probabilities indicate the likelihood that something will happen. Adults use probabilities to predict things, such as people’s risks of developing or dying from various diseases or medical conditions; the chances of accidents; children’s risks of experiencing academic difficulties, dropping out, or developing emotional and behavioral disorders; and the chances that a certain area will receive rain or snow. Scientists use probabilities to predict the likelihood of various behaviors or outcomes they are studying. They use statistics to show the numbers and proportions of responses or results obtained in research studies. Calendars are one type of chart. Adults can help children use them to organize daily and weekly activities, and to understand how we organize information.

64
Q

Give a few examples of how adults can help children use charts and graphs to enhance their early mathematical thinking skills.

A

According to experts, almost every daily activity can be charted in some way. For example, adults can help children peel the little stickers off of plums, bananas, etc. and stick them to a piece of paper /poster board divided into columns. After a week, they can count each column to determine how many pieces of each kind of fruit they ate. Similarly, adults can show children how to use removable stickers or color forms to document the number of times they performed any daily activity. For example, children could place a color form near the telephone every time it rings and/or every time somebody picks it up to make a call. They could also place a color form near the front door every time somebody comes in, goes out, and/or rings the doorbell/knocks. This enables children to count the number of times given events occur by recording them. Some children are better able to understand math by viewing and making graphs. This is because creating graphs involves representing quantities visually instead of just listing numbers.

65
Q

Identify a mathematical milestone for typical four­-year-olds and the levels of this milestone, explaining the cognitive process involved in each level and the significance of the highest level.

A

Counting is considered a math skill milestone for young children. Typical four-year-olds enjoy counting aloud. Experts identify three levels of counting. The first is counting from 1 to 12, which requires memorization. The second level is counting from 13 to 19, which requires not only memorization, but also an understanding of the more unusual rules for “teen” numbers. The third level is counting from 20 on. This process is very consistent, and the numbers are ordered according to regular rules. Experts in math education believe that at this level of counting, children are discovering a regular mathematical pattern for the first time, which is base ten (i.e. 20, 30, 40, 50, etc. are 2 tens, 3 tens, 4 tens, 5 tens, etc., and after the base a number between 1 and 9 is added). Researchers and educators in early childhood mathematics programs recommend encouraging children as young as four years old to learn to count up to 100. They find that doing this helps young children learn about and explore patterns in depth.

66
Q

Describe the three levels young children typically
progress through as they learn to perceive and identify shapes. Identify a shape activity young
children enjoy that addresses the second and third
levels.

A

The three levels of perceiving shapes that children typically move through sequentially are seeing, naming, and analyzing. Very young children recognize simple shapes like circles, squares, and triangles. As their cognitive and language skills develop, they learn the names for these shapes, and use these names to identify single shapes. The third level is analyzing each shape to understand its properties. Whereas identifying shapes visually is intuitive and based on association, analyzing their properties is more abstract, since a shape can have a number of different appearances. For example, three-year-olds can differentiate a triangle from other shapes. However, if you show them a very tall, skinny /short, wide/lopsided/crooked triangle, they will have trouble identifying it as a triangle. At the analysis level, children realize that a triangle has three sides, which are not necessarily equal in length. An activity that young children enjoy is closing their eyes, reaching into a bag of assorted shapes, finding a triangle by touch, and explaining why it is a triangle. This involves both the second and third levels of naming and analysis.

67
Q

Discuss some considerations regarding integrating early childhood math into everyday activities and using early childhood math curricula. Include some relevant examples in your response.

A

Integrating math into the context of everyday activities has been the philosophy of early childhood math education until recently. For example, when teachers have children line up, they ask them who is first, second, third, etc. to practice counting. When children play with blocks, teachers ask them to identify their shapes and whether one block is larger /smaller than another. During snack times, teachers help children learn 1:1 correspondence by having them place one snack on each plate. These activities are quite valuable. However, some educators maintain that they are insufficient when used on their own, because in larger classes it is not always possible to take advantage of “teachable moments” with every child. Therefore, this educational approach cannot be applied systematically. These educators recommend that in addition to integration strategies, EC teachers should use a curriculum. The High Scope curriculum, the Creative Curriculum, and Big Math for Little Kids are just a few examples. Many teachers combine several curricula, selecting parts of different programs. Using a curriculum allows teachers to use a more planned approach to integrate math into all activities.

68
Q

Summarize the background and method of the clinical interview, and include some examples of questions
that may be asked during a clinical interview. Explain
the advantages of this approach over observation
alone, and describe how it can be adapted for classrooms.

A

Clinical interviews have long been used by individual and family therapists, as well as by researchers. Piaget used them along with observations and case histories to understand young children’s thinking as he formulated his cognitive developmental theory. Interviewers ask structured/semi-structured/open-ended questions and listen to the responses, often recording them for accuracy. This method gives the interviewer a way to find out what the respondent is thinking and feeling inside, which cannot be determined by observing outward behaviors alone. In educational settings, a teacher might ask a child questions like, “How did you do this?” “What is happening now?” “Can you tell me more about this?” “Why are you doing this?” “What are you thinking about now?” etc. Flexible questioning helps uncover the child’s thought process, which is what is leading him/her to engage in specific behaviors. Just observing the behaviors alone does not allow the child to express his/her knowledge. While fully interviewing each child in a classroom is not practical, teachers can adapt this method by asking clinical interview-type questions as part of their instruction.

69
Q

Give an example of how a teacher can use questioning
based on the clinical interview method during early
childhood math activities. Explain how this technique
enhances children’s math communication skills and
promotes literacy development.

A

Teachers can gain a lot of information and insight about how children are learning math concepts by observing their behaviors. For children to actually express their knowledge and thinking processes, however, teachers must ask them questions. For example, when a teacher introduces new shapes to young children, s/he can ask them the shapes’ names, how they differ from one another, and why they think the shapes differ. Teachers can then use children’s various responses to elicit further responses from them. This technique requires children to use language in significant ways during math activities. Therefore, these activities not only teach math skills, but also promote literacy development. Asking clinical interview-type questions promotes children’s development of math communication skills, one of the essential components of math education. Additionally, being able to put one’s knowledge and thoughts into words is a skill that is very important in all areas of education, not just math education. Using clinical interview-type questions helps children learn to use language to explain their thinking, share ideas, and express themselves, promoting and strengthening children’s awareness of the functions of mathematical language.

70
Q

Identify some prominent characteristics of young
children’s thinking and learning that inform EC math curricula. Give a few examples of how young children
naturally learn basic math concepts through everyday activities.

A

Young children think in concrete ways and cannot understand·abstract concepts, so effective EC math curricula typically use many concrete objects that children can see, feel, and manipulate to help them understand math concepts. Young children also naturally learn through exploring their environments, so good EC math curricula have many exploration and discovery activities that allow and encourage hands-on learning. In everyday life, young children start to observe relationships as they explore their surroundings. They match like objects, sort unlike objects, categorize objects, and arrange objects in simple patterns based on shared or contrasting properties. They start to understand words and phrases like “a little,” “a lot,” “more,” “less,” and “the same [as … ].” Preschoolers use available materials such as sticks, pieces of string, their feet, their hands, their fingers, etc. as tools to measure objects. They also use rulers, measuring cups, and other conventional tools. They use their measurements to develop descriptions, sequences, and arrangements, and to compare various objects.

71
Q

Describe a few typical preschooler activities that help children develop spatial awareness, and explain why spatial awareness is important. Identify some math concepts that are important for preschoolers to learn.

A

When preschool children build structures with blocks and put together pieces of puzzles during play, they are not only having fun, but are also developing spatial awareness. The relationships of objects to each other and within space are important concepts for children to learn, and serve as a foundation for the principles of geometry and physics that children will learn later. When they are moving around, preschoolers begin to notice how other people and objects are positioned in space, and how their own bodies move through space in relationship to objects and other people. This type of spatial awareness supports children’s developing gross motor skills, coordination, and social skills. Young children can and should learn a number of math concepts and skills, such as the ones recommended by preschool math curricula like the High Scope program’s “Numbers Plus” preschool mathematics curriculum. These concepts and skills include number symbols and names, counting, shapes, spatial awareness, relationships of parts to the whole, measurement, units, patterns, and analyzing data.

72
Q

Define the math terms rational numbers and irrational numbers, and include examples of each.

A

In mathematics, rational numbers are numbers that can be written as ratios or fractions. In other words, a rational number can be expressed as a fraction that has a whole number as the numerator (the number on top) and the denominator (the number on the bottom). Therefore, all whole numbers are automatically rational numbers, because all whole numbers can be written as fractions with a denominator of 1 (e.g., 5 = 5/1, 68 = 68/1, 237 = 237 /1, etc.). Even very large, unwieldy fractions ( e.g., 9,731,245 /42, 754,021) are rational numbers, because they can be written as fractions. Irrational numbers can be written as decimal numbers, but not as fractions, because the numbers to the right of the decimal point that are less than 1 continue indefinitely without repeating. For example, the value of pi (n) begins as 3.141592 … , and continues without end. The square root of 2 ( V2) = 1.414213 …. There are an infinite number of irrational numbers between O and 1. However, irrational numbers are not used as commonly in everyday life as rational numbers.

73
Q

Define the mathematical number terms cardinal, ordinal, nominal, and real numbers, and include some examples of each.

A

Cardinal numbers are numbers that indicate quantity. For example, when we say “seven buttons” or “three kittens,” we are using cardinal numbers. Ordinal numbers are numbers that indicate the order of items within a group or a set. For example, when we say “first, second, third, fourth, fifth, etc.,” we are using ordinal numbers. Nominal numbers are numbers that name things. For example, we use area code numbers along with telephone numbers to identify geographical calling areas, and we use zip code numbers to identify geographical mailing areas. Nominal numbers, therefore, identify categories or serve as labels for things. However, they are not related to the actual mathematical values of numbers, and do not indicate numerical quantities or operations. Real numbers include all rational and irrational numbers. Rational numbers can always be written as fractions that have both numerators and denominators that are whole numbers. Irrational numbers cannot, as they contain non-repeating decimal digits. Real numbers may or may not be cardinal numbers.

74
Q

Describe some preschool activities that use a “button board” that support learning the math skills of shape
identification, counting, 1: 1 correspondence, sorting,
and categorization. Identify which activities support
which concepts/skills.

A

By gluing buttons of various sizes and colors to a piece of cardboard, teachers can initiate a number of activities that help preschoolers learn math concepts while having fun. Preschoolers are commonly learning shapes and how to draw them. Teachers can give children lengths of string/twine/yarn or long shoelaces and show them how to wrap them around different buttons to form shapes like rectangles, triangles, and squares. To practice counting and 1:1 correspondence, teachers can ask children to wrap their string around a given number of buttons. Preschoolers need to learn the concept that spoken number words like “five” can equate to a group of five concrete objects (such as buttons), and this activity promotes that learning. The button board is also useful for giving preschool children practice with sorting or classifying objects into groups based on a common characteristic. For example, the teacher can ask children to wrap their pieces of string around all the big buttons, all the little buttons, only the red buttons, only the blue buttons, etc.

75
Q

Describe a preschool activity that involves tossing a beanbag and playing hopscotch that makes learning and practicing counting and numeracy skills fun for young children.

A

Teachers can encourage preschool children’s counting and number development by creating a grid on the floor with the numbers 1 to 10 using masking tape, construction paper, and markers. Teachers could also draw the grid outdoors by drawing on pavement with chalk. The teacher arranges the numbers in ascending order within the grid of 10 squares/rectangles. S/he asks the children if they can name these numbers. The teacher provides beanbags. Each child gets a chance to throw a beanbag into any one of the numbered squares. Children can see how far they can throw and/or practice their aim. Each child names the number inside the square/rectangle where his/her beanbag lands. The children then play a version of hopscotch by hopping from numbered square to square, collecting their beanbags, and then hopping back. If desired, the teacher can write the number each child’s beanbag lands on onto a “scoreboard” graph. Children will observe his/her writing the same numbers found on the floor /ground onto a “scoreboard.” Teachers can review learning after the game to assess whether children can count using number words, name selected numbers, and throw accurately with consistency.

76
Q

Explain one way a preschool teacher can reuse
sectioned plastic trays from the grocery store to
create an enjoyable activity that will give young
children concrete practice with naming numbers and counting.

A

A teacher can wash and reuse the compartmentalized plastic trays from the grocery store that are used for vegetable and fruit to create a preschool counting activity. The teacher supplies beads, pennies, erasers, or other small objects, as well as about a dozen sticky notes.
S/he writes a number on each note. For older preschoolers, the teacher can write the numeral and the word ( e.g., “7” and “seven”). For younger children, the teacher can write the numeric symbol (“7,” for example) plus seven dots or other marks as a clue to that number symbol. The teacher puts one numbered note in each compartment and the supply of small objects in the central dip compartment. Then, s/he guides each child to transfer the correct number of each small object to the correct compartment. The child should count aloud while transferring each small object, and should repeat this process until all compartments with a numbered sticky note have the correct number of objects. Children can then repeat the process to practice and perfect their counting, or the teacher can place notes with different numbers in the tray’s
compartments.

77
Q

Describe a game that teachers can create for preschool children to allow them to practice number recognition. Briefly explain how this game can be adapted to allow children to practice other skills.

A

Teachers can help preschoolers practice identifying numbers and counting by creating a fun “fishing for numbers” game. Teachers cut 10 fish shapes that are about 6 inches long from pieces of construction paper that are different colors. Teachers then write a single number between 1 and 10 on each “fish.” Near each fish “mouth,” the teacher punches a hole and inserts a paper clip through it. The teacher makes “fishing rods” by tying strings to dowels and gluing a magnet to each string. After spreading out the fish so the children can easily see the numbers, the teacher assigns each child a number and they “fish” for it, picking up the fish by bringing the magnet close to the paper clip. The children then “reel in” their catches. This gives children practice correctly identifying number names. The game can be adapted for more advanced math concepts as well. For example, the teacher can cut out fish shapes of various sizes and have children “fish” for larger/smaller fish. The activity can also be adapted to promote literacy development. The teacher can write letters instead of numbers on the fish to give students practice with alphabet recognition, or s/he can write a Dolch word/sight word on each fish to give students practice recognizing and identifying important vocabulary words.

78
Q

Describe how creating collages during preschool art projects can help young children learn shape recognition and part-to-whole relationships.

A

Fundamental math skills that prepare preschoolers for kindergarten include shape recognition. To introduce children to an activity they will view as fun rather than as work, teachers can show children how to make a collage of a familiar figure. This will also give children the opportunity to experiment with an artistic process. For example, they can create a Santa Claus or an Easter Bunny as a holiday art project. They can make collages of other imaginary /real people for various events/seasons/topics. Teachers cut out paper templates, including circles for heads, triangles for hats, squares for bodies, and narrow rectangular strips for limbs. First, they help children name each shape. They have each child trace the template shapes onto paper and cut them out with child-safe scissors. The teacher then instructs children to
arrange their cutout shapes on a piece of cardboard/construction paper. Once they are in the correct positions, the children glue the shapes in
place. Teachers can subsequently teach additional shapes ( octagons, ovals, etc.), challenging children to make new, different collages.

79
Q

Explain the difference between knowing number
names and understanding 1:1 correspondence, and
describe the significance of the latter for preschoolers.
Describe a hands-on “grab bag” game teachers can use to help young children develop these early math skills.

A

Young children learn to name numbers in a way that is similar to how they learn to recite alphabet letters. However, learning to associate number symbols with concrete objects in the real-world environment is a major advance in their cognitive development. The concept of 1:1 correspondence entails matching number symbols to the quantities they represent, an essential early math skill. Teachers can support the
development of this math skill with a simple “grab bag” game youngsters enjoy. The teacher writes a number from 1 to 10 on each often cards, folding each card in half and putting them into a paper lunch bag. The teacher provides each child with a handful of pennies/play coins/buttons/little blocks to use as counting tokens. Each child takes a turn closing his/her eyes and pulling a card out of the bag. The child
reads the number on the card, counts out the corresponding number of pennies/tokens, and puts them with the card. As children learn, teachers can place additional and/or different numbers (e.g., 11 to 20) in the grab bag. To promote the development of early literacy skills, teachers can
also include the name of the number on each card.

80
Q

Describe a simple pattern resist art activity for preschoolers that involves using crayons and watercolor paints and helps to develop children’s ability to recognize and reproduce shapes. Identify additional skills developed during this activity.

A

A significant mark of progress in early math skills development is the ability to not only identify various shapes, but also to draw them. Once young children develop this ability, they typically want to practice it all the time. Teachers can encourage this by helping children make pattern resist paintings. The teacher tapes white paper to children’s
tables/trays, gives them crayons, and invites them to fill the paper with drawings of different shapes of various sizes and colors. Teachers can introduce young children to new shapes (e.g., ovals, stars, crescent moons, etc.) by drawing them on separate pieces of paper for children to look at and copy. Then, the teacher replaces the crayons with water,
watercolor paints, and brushes; shows the children how to dip brushes into paint and water to dilute the colors; and allows them to paint over their crayoned shapes, covering all the white paper with color. The children see the shapes show through the paint, creating the pattern resist. Dipping brushes and diluting various colors also develop children’s color recognition skills and their hand-eye coordination.

81
Q

Describe a good summertime activity that teachers
can use to help preschoolers develop early math skills
related to sequencing, practice fine motor skills, and
learn an early science concept.

A

A significant mark of progress in early math skills development is the
ability to not only identify various shapes, but also to draw them. Once young children develop this ability, they typically want to practice it all the time. Teachers can encourage this by helping children make pattern resist paintings. The teacher tapes white paper to children’s tables/trays, gives them crayons, and invites them to fill the paper with drawings of different shapes of various sizes and colors. Teachers can introduce young children to new shapes (e.g., ovals, stars, crescent moons, etc.) by drawing them on separate pieces of paper for children to look at and copy. Then, the teacher replaces the crayons with water, watercolor paints, and brushes; shows the children how to dip brushes into paint and water to dilute the colors; and allows them to paint over their crayoned shapes, covering all the white paper with color. The children see the shapes show through the paint, creating the pattern resist. Dipping brushes and diluting various colors also develop children’s color recognition skills and their hand-eye coordination.

82
Q

Explain how preschool teachers can adapt the popular “Red Rover” game to support shape and color recognition skills, early literacy skills, and gross motor skills.

A

Red Rover is a good game for groups of children who are attending
parties or playing outdoors at parks/playgrounds. Two teams take turns calling and roving. The child called runs to the other team and tries to fit into its line. If successful, s/he gets to call another player to bring back to his/her home team. If not, s/he joins the opposite team. The game
continues until one team has no more members. Teachers can adapt this game to teach shape recognition by cutting out various shapes from
construction paper of different colors and pinning a shape to each child’s shirt. In large groups, more than one child can have the same shape or color. Instead of children’s names, the teacher instructs players to use
shapes and colors when calling (e.g., “Red Rover, Red Rover, blue circles come over!”). This supports the development of shape and color recognition skills. Teachers can vary action verbs (e.g., “ …. hop over /jump over /skip over”) to support vocabulary development and
comprehensive skills. When children perform such movements, they are also practicing and developing gross motor skills.

83
Q

Describe a simple activity teachers can use with preschoolers that makes practicing counting fun. Explain how this activity advances cognitive development to support early math skills
development.

A

A common practice among preschool children is counting on their
fingers. Young children learn concretely before they develop abstract
thought, so they must have concrete objects to work with to understand abstract mathematical concepts. They use their fingers to count because fingers are concrete. A simple activity that allows children to continue
finger counting while removing additional visual support is “blind finger counting.” Using eyesight to count objects we can see is relatively easy. However, when children cannot see objects, they must learn to count mentally instead. This allows them to take another step in their progress from concrete to abstract thinking. To count mentally without visual
reinforcement takes practice. Teachers can tape a shoebox lid to the box and cut a small hole in it. Children can fit a hand through the hole, but
cannot see inside. Children close their eyes; the teacher drops several
small objects into the box; and each child reaches in, counting the
objects using only touch. Varying objects and quantities maintains the
fun of this activity.

84
Q

Explain why sorting and categorization are important preschool math skills. Describe a simple guessing game adults can use to promote the development of these abilities in children.

A

One of the major learning accomplishments of young children is being able to identify similarities and differences among objects. Developing this ability enables children to sort like objects into groups, and to place objects into categories based on their differences. When preschoolers compare and contrast objects, they demonstrate an important early step in the development of critical thinking, analytical, and problem-solving skills. For an easy, entertaining guessing game, adults can select assorted household items familiar to children and put them into a bag/pillowcase. They then give children various clues (e.g., “I stir lemonade with this … ,” “It’s made of wood,” “We keep it in the kitchen drawer … ,” etc.) and ask them to guess which items are in the bag. It is important to give young children one to two minutes to consider each clue before they make a guess. Adults repeat clues when children guess incorrectly. If children guess correctly, they are allowed to look inside the bag. Youngsters greatly enjoy seeing that the object they guessed is actually inside the bag. Adults can gradually make the game more challenging by beginning with very common objects, and then eventually progressing to more unusual ones.

85
Q

Describe a cookie baking activity adults can use with young children to help them learn early math skills, including shape recognition, measurement, sorting, categorization, and pattern recognition.

A

Young children are typically curious about adult activities like baking. They usually want to know more about the process, and often ask many questions. They also love to be included and to participate, frequently offering/asking to help. Letting them help builds their self-esteem and self-efficacy (i.e. their confidence in their competence to accomplish a task). Adults can allow children to help while also providing instruction and practice with shape recognition, measurement, sorting, and categorization. The adult prepares a favorite cookie recipe. Some children can help measure ingredients, which helps develop the math skill of measurement. With the dough rolled out, children use cookie cutters of various shapes. Recognizing, naming, and selecting the shapes promote the development of shape recognition skills. Adults “shuffle”/mix the baked cookie shapes and have children separate cookies with like shapes into groups, which promotes sorting skills. Having children identify similar /different shapes, sizes, and colors promotes categorization skills. Arranging cookie shapes into patterns for children to identify promotes pattern recognition skills, which are necessary to the development of math skills and many other skills. Giving each child a cookie to eat afterward is naturally reinforcing.

86
Q

Describe a creative craft project using colored ping
pong balls and an egg carton that adults can complete
with children that develops spatial awareness,
counting skills, pattern awareness, and artistic design
skills.

A

Prerequisite abilities that young children need in order to develop early math skills include the ability to identify, copy, expand, and create patterns; as well as the ability to count. Adults can promote the development of these skills by giving children a craft project and introducing them to an interactive game they can play using their crafts. First, the children paint six ping pong balls red on one side to make red­and-white balls. Then, the children paint six ping pong balls blue on one side to make blue-and-white balls. Once the paint dries, the adult puts several balls into an egg carton so that one color is face up. The adult starts making a simple pattern (e.g., two white, then two red, then two blue), and asks each child to continue the pattern. Then, the adult allows each child to create his or her own original color patterns. Once a child masters creating patterns using solid colors, he or she can then use both the white and colored sides of the balls to create more complex patterns. Children can design an infinite number of patterns, which are often quite artistic.

87
Q

Describe a shape matching game for preschoolers that develops shape recognition skills, fine motor skills, creativity, observational skills, and general and early math vocabulary skills.

A

In one type of shape matching game, EC teachers help children make a game board out of construction paper that is shaped like a tree. Teachers first help the children cut a treetop and leaf shapes from green paper. They discuss children’s preferences for tall/short and thick/thin trunks, giving them practice using descriptive vocabulary words, particularly ones related to size. This step builds both general and math concept vocabulary. Children cut trunks from brown paper and paste/glue them on the treetops. While out of the children’s sight, the teacher cuts 5 to 10 ( or more) pairs of shapes per child/tree from different colors of construction paper. Pairs should not match exactly (e.g., a blue square can be paired with a red square). The teacher glues one of each pair of shapes to each child’s tree while the child is not looking. The teacher then gives each child the rest of the shapes, and invites children to see how quickly they can match each shape to its “partner” on the tree. The teacher can provide “warmer/cooler” distance clues, and should provide reinforcement each time a child correctly matches a pair of shapes. Teachers can make this activity more challenging by using more shapes and/or getting students to match shapes that are different sizes ( e.g., children can be asked to match smaller diamonds to larger diamonds).

88
Q

Describe a homemade beanbag game for young children that can develop their counting skills, numeracy skills, and motor skills, while also encouraging imagination and creativity.

A

Young children enjoy tossing objects and practicing their aim. Adults can make a beanbag game that helps children learn numbers and identify sets, while also allowing them to construct their own game rules. First, the adult should cover five big, equally-sized coffee (or similar) cans with paper that is adhesive on one side. The adult should then use markers to write a number from 1 to 5 and draw the corresponding number of dots on each can. The next step is to fill 15 tube socks with beans and knot/tie/sew them shut. The following numerals and the corresponding number of dots should be written on each homemade beanbag using markers: the number 1 on five beanbags, the number 2 on four beanbags, the number 3 on three beanbags, the number 4 on two beanbags, and the number 5 on one beanbag. Next, the adult should attach the cans to the floor with tape or Velcro. Then, the adult should mark a line on the floor that children must stand behind, and should direct children ONLY to toss the beanbags into the cans. Children will devise various games/rules. First, they may simply toss the beanbags into the cans; then, some may try to toss beanbags into a can that has the same number as the one marked on the beanbag. Eventually, some may throw three beanbags into the “3” can. They may /may not keep score. Allowing children to determine the details and rules gives them an opportunity to develop their imagination and decision-making skills, and to create their own games while learning number and set identification.

89
Q

Describe a fun guessing game that does not require any equipment or supplies that adults can play with young children to strengthen their numeracy skills.

A

Adults can adapt the format of “20 Questions,” “I Spy,” and other similar guessing games to focus on numbers and help children learn number concepts. For example, adults could say, ‘Tm thinking of a number from 1 to 10…. “ and then give children 10 guesses. Adults give children cues as they guess, such as “higher” and “lower,” to help them narrow down the number of possible correct answers. As children improve, adults can increase the number range ( e.g., from Oto 50) or use larger numbers ( e.g., from 20 to 40). As children’s skills and self-confidence develop, adults can reverse roles, having children think of numbers and give clues while adults guess. Young children enjoy the fun of guessing, getting closer using clues, deducing correct answers, and fooling adults with their own clues. Concurrently, they learn to describe numbers, compare them, and sequence them. Adults can make the game more difficult by limiting the number of guesses allowed and/or setting time limits. They can make it easier by providing a written number line for children to reference. This game requires no materials (or just a basic number line), is a great way to pass time, and entertains children while helping to develop numeracy skills.

90
Q

Discuss how adults can use an arts and crafts project
to help young children practice the early math skills of sorting and categorization, while also learning,
monitoring, and documenting healthy eating habits
and developing fine motor and graphing skills.

A

According to the U.S. Department of Agriculture, preschoolers need three ½-cup servings of fruit and three ½-cup servings of vegetables daily. However, many young children are picky /resistant. Adults can motivate them to eat produce with a “food rainbow” project. Adults show children a picture of a rainbow, and discuss its colors and their sequence (teaching some earth science, optics, and color theory!). A fun art project is allowing students to color their own rainbows, which improves fine motor skills. Then, adults can have children cut out pictures from grocery circulars and name each food. The adult can help children find one healthy fruit/vegetable for each color, gluing each food to its corresponding stripe on the rainbow. Adults can then help children pull apart cotton balls and glue them to their rainbow pictures to represent clouds. Children can then post their food rainbows on refrigerators as artwork and as healthy eating reminders. At the bottom, children can draw and color one box (bottom-up) for each food they eat (e.g., blue= blueberries, orange= carrots, red= apples, etc.) to create a bar graph. Children should try to “eat” the entire rainbow every week. This activity gives children the opportunity to produce colorful art, eat better, track and document their diets, and develop graphing skills.

91
Q

Explain how creating a treasure hunt activity for
preschool children can promote pattern recognition skills, imagination, an understanding of symbolic
representation, and map reading skills, while
providing an entertaining adventure.

A

A treasure hunt is an ideal outdoor activity for young children, and can also be adapted for indoor fun. The treasure can be anything ( e.g., a small toy /play money /chocolate “coins” /rocks spray painted gold or silver, etc.). The adult should put the treasure in a paper bag marked with a large X. The adult should hide it somewhere where it is not visible, but will not be overly difficult for children to find. Then, the adult should make a treasure map, using few words and many pictures, sketching landmark objects in the area (trees, houses, etc. if the activity will be done outdoors, and furniture, walls, etc. if the activity will be done indoors). The adult should ensure the map is developmentally appropriate for young children, and that they will be able to read it independently. Adults with time and motivation can make the map look authentic by soaking it in tea/coffee, drying it in a 200° oven, or even charring its edges. Adults should include a dotted line on the map that reinforces the simple directions and indicates the path to the treasure, which is indicated on the map by a large X. Children have fun, use their imaginations, make connections between symbols and images to corresponding real-world physical objects, and begin learning to read maps.

92
Q

Discuss some advantages of pasta necklace making as a learning activity for young children, including skills it helps to develop. Describe some ways in which adults can help children with the activity.

A

Stringing beads/noodles is an activity that helps young children develop hand-eye coordination, which they will need for writing and other everyday activities that require fine motor coordination. Noodles are typically the perfect size for young children’s hands. They are inexpensive, usually costing less than comparably-sized beads. Moreover, pasta is non-toxic, an advantage when working with little persons who put things in their mouths. Hollow, tubular noodles like penne, ziti, wagon wheels, etc. are ideal. Fishing line/craft beading string/other stiff string is best; soft, limp string/yarn is harder for young children to manipulate. Using multicolored vegetable pasta removes the need to use markers or dye to add color. If using white pasta, children can color the noodles with markers, but adults should keep in mind that the ink can bleed onto skin/clothes even when it is dry. Adults should cut pieces of string that are long enough to allow children to easily slip the necklaces on and off after they are tied. Adults should also use a knot to secure a noodle to one end of the string. By providing more than one noodle shape, adults can invite children to string the noodles to create patterns, which develops pattern recognition and pattern creation abilities. These abilities also inform repetition, rhythm, categorization, and sequencing skills, which are important in math, music, art, literature, clothing design, etc.

93
Q

Describe a learning game for preschoolers that requires only sidewalk/pavement and chalk, and involves writing numbers, identifying numbers, and running. Identify the skills this game helps to develop.

A

A game for young children that some educators call “Number Dash”
(Miller, ed. Charner, 2009) builds foundational math concepts and skills, while providing physical activity. It can involve small or large groups
(the referenced authors say “the more the merrier”). Help children write large numbers on a paved area with sidewalk chalk. Make sure numbers are spread far enough apart so children will not collide while running. There should be one of each number for each child ( e.g., six “ls,” “Zs,”
“3s,” etc. if there are six children). Use chalk colors that contrast with the pavement color to ensure the numbers wil) be highly visible. Tell children to run (“dash”) to whichever number you call out and stand on it until you call another number. Call out numbers randomly. Encourage children who have located the number to help their
classmates/playmates. This game develops gross motor skills, number writing skills, and number recognition skills. It also provides experience with playing organized games, following rules, following directions, and cooperating with and helping others. This game can also be played with letters, colors, and/or shapes.

94
Q

Describe a hypothetical scenario wherein a female
teacher introduces standard measurement to first
graders using a ruler, and include an example of how
the teacher might explain the concept of starting at zero rather than one.

A
A teacher is introducing standard measures to her class as part of a unit on measurement, one of the early math skills. She shows the children a ruler, explaining that it is one foot long, and that we can use it to measure inches and parts of inches. She demonstrates placing the ruler on paper to measure a given length, explaining that the ruler can also be used as a straight edge for drawing lines. One child asks, "How come you started with zero? Why don't you start with one like when we count?" The teacher responds, "That's a very good question! Zero means 
none/nothing. When we count, we start with one because we already have at least one of something. When you were born, you were not one year old; your age began at zero. After a year, on your first birthday, you were one year old. We also begin measuring distances at 
zero/none/nothing. The first piece/unit of measurement is one, not two. The distance from zero to one is equal to one. To get to one inch, for example, we need to start at zero."
95
Q

Give a description of a scenario involving an elementary school class learning about geometric shapes and their properties. Describe a challenging activity the teacher might present to students that requires them to identify and count shapes within shapes.

A

A teacher has been working with students to help them develop their shape identification skills. They can recognize shapes by sight, and have also learned the defining properties of different shapes (number of sides, etc. . The teacher shows the class this figure: [][][][]

She asks how many rectangles they can find in the figure. One student answers, “There is one rectangle,” which is incorrect because a square is a rectangle; this figure has four rectangles that are squares. Moreover, the entire figure is itself a rectangle. Another student therefore says,
“There are five rectangles.” This response is also incorrect. Two adjacent squares also form a rectangle; this means there are three additional rectangles. Three adjacent squares also form a rectangle; this means there are two additional rectangles. Thus, the figure has a total of 10 rectangles. Solving this puzzle requires the use of many skills, including analyzing visual information, synthesizing visual information, recognizing pattern5, recognizing 5hapes, and identifying the properties of shapes.

96
Q

Give an example of a simple preschool activity that
gives children experience collecting, organizing, and displaying data using sticky notes and a teacher-made
chart. Explain how the activity promotes the skills
mentioned above.

A

A preschool teacher is teaching her group often children about basic data collection, data arrangement, and data display. She shows children yellow, blue, and green sticky notes, and has each child select his/her favorite color. Five children choose yellow notes, three select blue, and two choose green. By choosing one of three colors, each child has participated in data collection. The teacher draws lines to divide a sheet of paper into three columns, and labels each column with one of the colors. She helps the children place their chosen sticky notes in the correct columns. By arranging the colored sticky notes into columns, the teacher and children have organized the data they gathered. Once all notes are in their proper color columns, the completed chart is an example of how collected, organized data can be displayed.
Text Representation since using flash:
Blue [3 rows blue sticky notes ] Yellow [5 rows yellow sticky notes ]
Green [2 rows green sticky notes]

97
Q

Describe a scenario wherein a preschool teacher has
children select one of three colors of sticky notes, organizes them by color, and displays them on a chart. Explain how the teacher can use this activity to give children some experience with analyzing and interpreting data.

A

The teacher had ten children each choose one of three colors of sticky notes, an example of basic data collection. She used a chart with three columns to organize the children’s choices (Text representation since these are flash cards):

BLUE [3 rows of blue sticky notes]
YELLOW [5 rows of yellow sticky notes]
GREEN [2 rows of green sticky notes]

The chart displays the collected and organized data. The teacher asks the children which color was chosen the most. Seeing five yellow notes, they answer, “yellow.” She asks which color was chosen the least, and they say, “green.” She asks them to use numbers to arrange the color choices from most popular to least popular. They arrive at, “five yellow, three blue, and two green.” Together, the teacher and the children point to and count ten children. She tells them five equals half of ten, and asks which color half of the children chose. Together, they figure out it was yellow. These are examples of analyzing and interpreting data.