mathematical thinking Flashcards

(11 cards)

1
Q

Why is maths still important to learn despite modern technology

A

Math gives us an understanding of:
Transitivity
Cardinality
Ordinality
Additive relations

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2
Q

What is transitivity

A

Basically deduction:
If A = B and B = C then C = A

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3
Q

What is cardinality

A

Enables us to work out the exact number in a set, even when the number is too large to estimate. When two sets of items are equal and value of one of the sets is known, can then figure out the value of the other set is the same.

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4
Q

What is ordinality

A

Use of numbers to indicate their order in relation to another. Knowing 6 is greater than 4, and so a set of 6 will always be bigger than set of 4.

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5
Q

What is additive relations

A

Quantities stay the same if nothing is added or subtracted or if same number is added and then subtracted

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6
Q

What are the two systems of number cognition

A

Approximate magnitude

Precise representations of distinct individuals

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7
Q

Explain signature limits

A

a 6 month old can do 1:2 ratios but not 2:3 but this improves with age

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8
Q

What are the 3 mathematical systems suggested by Carey (2004)

A

Analogue system
Parallel individuation system
Set- based quantification

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9
Q

Explain the parallel individuation system

A

Allows children to learn how to connect number with the counting system
Learn association between quantity and counting
Recognise and represent small numbers exactly.
Only up to 3 items

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10
Q

Explain set-based quantification

A

Understanding singular/plural distinction
Understanding of quantifiers (“a” and “some”)
Dependent on language

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11
Q

What is language important and not important for in maths

A

Important for exact calculations (parallel individuation)
not important for approximate ones (approximate magnitude)

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