Reading and maths development Flashcards

(40 cards)

1
Q

why is reading and maths development so essential

A

maths is important beyond stem programs, careers
maths attainment is in decline
approximately 24\5 of adults in the uk have numeracy below that needed to function in everyday life

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2
Q

what important maths skills do we learn

A

non-symbolic number
learning count list
symbolic number
arithmetic operations
rational numbers
algebra

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3
Q

innate number sense

A

several researchers will argue that humans are born with the ability to reason mathematically

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4
Q

approximate number system

A

our minds come equipped with a rich and flexible sense of number

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5
Q

starkey and cooper - non symbolic number in infancy

A

used habituations
infants habituated to arrays containing a particular number of dots then presented a post habituation array containing different number of dots

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6
Q

results

A

showed that dishabituation occured for small not large condition
concluded that infants recognise a change in number and that infants are subsitising for small nymber condition

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7
Q

what did vynn find

A

found that infants can add and subtract

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8
Q

how did wakeley dispute wynns theory

A

babies were unable to replicate across all conditions - suggesting that wynns theory was not absolutely accurate

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9
Q

what is symbolic number mapping - and what forms are they in?

A

symbolic numbers are abstract and exact representations of numeoristy
typically in two forms, number words and arabic digits.

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10
Q

what is rote counting

A

reciting the number words in sequence.

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11
Q

number word acquisition

A

children learn the count sequence by rote before understanding the numerical meaning of number words and arabic numerals

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12
Q

name all the counting principles.

A
  1. the one to one principle.
  2. the stable order principle.
  3. the abstraction principle.
  4. the order irrelevance principle.
  5. the cardinality principle.
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13
Q

one to one principle.

A

each object can only be counted once
each number word has to be paired with one and only one object
each object can only be paired with one number word
all objects are paired with a number word

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14
Q

stable order principle

A

number words are recited in a fixed order

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15
Q

abstraction principle

A

order in which objects are counted does not matter
each order leads to same result

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16
Q

order irrelevance principle

A

order in which objects are counted does not matter
each order leads to the same result

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17
Q

cardinality principle

A

last number in the count sequence also describes how many objects there are in the total set
Not only describes the order of the object but also the quantity of the whole set.

18
Q

arabic digit acquisition

A

children acquire the meaning of arabic digits slightly later than the meaning of number words
correlated with the onset of schooling
children learn to write the numbers and connect the number names with written symbols.

19
Q

ordinality

A

the relation between items in a sequence

20
Q

ways to assess ordinality

A

number ordering task
order judgement task

21
Q

what did the meta-analysis by duncan et al show about early b=numeracy in relation to development

A

early maths skills were a strong predictor of later maths skills
early maths skills predict childrens later reading skills
early maths - stronger predictor of later academic performance
numeracy skills are important for life outcomes

22
Q

quantitative skills

A

early numeracy skills of quantifying, labelling, comparing and manipulating sets

23
Q

how are these early quantitiative skills measured

A

subitizing
non-symbolic arithmatic
counting
estimation
number comparison

24
Q

subitizing

A

quickly determining the number of items in a small set without counting
subitising in preschool/kindergarten predicted mathematic outcomes 2 years later

25
non-symbolic arithmetic
adding/subtracting with manipulatives
26
counting
present children with dots, ask them to count
27
estimation
estimate the number of dots without counting
28
number comparison
common measure of quantitative skill numberical comparison prposed as key foundational capacity for numeracy two types of tasks: non-symbolic`
29
non symbolic number comparison
compare one set of dots to another
30
symbolic number comparison
compare 2 arabic digits
31
In mathematics, working memory supports...
peformance of multiple steps ability to keep track of intermediate results ability to visualise problems and solutions
32
two common subtypes of working memory measured
visuospatial working memory and verbal working memory
33
Visuospatial
responsible for the maintenance and storage of visual and spatial information predicted mathematics outcomes 2 years later visuospatial working memory in kindergarten predicted arithmetic and word problem peformance
34
verbal
responsible for the maintenance and storage of verbal information
35
what do early linguistic skills include
phonological awareness and receptive vocabulary support the learning of mathematics vocabulary and rules of the number system
36
what is the importance of early intervention
identify and intervene change the developmental trajectory
37
what knowledge forms the foundation for fundamental numeracy (hierarchial symbol integration model)
cardinal and ordinal knowledge form the foundation
38
what is built upon fundamental numeracy knowledge
arithmetic - additive relations complementary relations between additive and multiplicative operations
39
what is built on a foundation of multiplicative reasoning
fraction knowledge
40
what comes after multiplicative relations
rational numbers algebraic knowledge