Mathematics Instruction Flashcards
Place Value
The value of each digit in a number based on its location, or place
In 135, the 3 is in the tens place and has a value of 3 x 10 or 30.
Inquiry-Based Teaching / Student-Centered Learning
students drive instruction by asking questions and creating projects to answer the questions
Constructivism
Learning new behaviors by adjusting our current view of the world
Research projects
English Language Learners (ELLs)
Students who are learning the English language, or for whom English is not a first language
Manipulatives
Objects used by students to illustrate and explore mathematical concepts, such as to represent numbers in an equation
Blocks, Coins
Thematic Unit
a unit that has an overarching, uniting idea or topic, and incorporates skills into that theme. It can be within one subject-area or support cross-curricular instruction.
Behaviorism
Learning theory rooted in the notion that all behaviors are learned through interaction with the environment
Cognitivism
Learning new behaviors by connecting current knowledge with new knowledge
Teaching fractions by talking about pizza slices
Visual Learning
Learning primarily by seeing things
Written examples
Concrete Representations
Using physical pieces to represent mathematical problems
Manipulatives
Closure Activity
a time to summarize the learning for the day
What question(s) do you still have about today’s lesson?
Flexible Grouping
grouping students based on their learning needs or interests
After reviewing the student test results, a teacher can use flexible grouping to organize groups based on students’ areas of weakness.
Compartmentalized Teaching
concepts taught one at a time in isolation of other concepts (no longer recommended)
Visual Methods
Lessons using materials for students to view.
maps, images, political cartoons, multimedia presentations and graphs
Backward Design / Planning
Lesson planning that begins with the desired outcome in mind
Kinesthetic Learning / Tactile Learning
Learning primarily by touching things or doing an activity
create and act out plays or skits
Tactile Methods
Lessons using materials for students to touch and handle.
Encouraging students to take notes, use study sheets, build dioramas or models
Heterogeneous Group
group comprised of individuals working on various levels
A small group of students with varying academic abilities working together on a science project is a heterogeneous group.
Symbolic Stage / Representational Stage
Drawing pictures or symbols to represent numbers in an equation
Squares
Learning Style
The manner in which a student learns best
Visual Learning
Integrated Teaching
multiple concepts are used in problem-solving at once (current best practices)
Basic Operations
addition, subtraction, multiplication, and division
Math in early elementary school grades focuses on basic operations.
Counting
to name or list one-by-one in order to reach the total quantity
Popsicle sticks can be used by young children to practice counting. When there is a group of ten popsicle sticks, they can be grouped together with a rubber band as “one set of ten.”
Word Problems
a math question written as one sentence or more that requires children to apply their maths knowledge to solve a ‘real-life’ scenario
Jack had $10 and spent $4. How much money does he have left?