W8 Flashcards

(28 cards)

1
Q

What is non-symbolic number representation?

A

The ability to understand and estimate quantities without using symbols like numerals. You can perceive numerical magnitude through visual arrays e.g collection of dots.

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2
Q

What are non-symbolic number systems?

A

Distinct systems for representing numerosity, allowing us to operate without counting and track numerosity without knowing number words.

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3
Q

What are the two non-symbolic number systems?

A
  1. Analog magnitude system: estimates large numbers, represents quantities as noisy magnitudes. 2. Object individuation system: precisely represents small numbers up to ~3.
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4
Q

What methods are used to study numerical cognition in infancy?

A

Looking time methods (e.g., violation of expectation, preferential looking), manual search, and choice (e.g., crawling to selected object).

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5
Q

What is modality?

A

Modality refers to the sensory channel through which information is received or conveyed, such as visual, auditory, or tactile.

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6
Q

What is Visual Numerosity?

A

The ability to perceive the quantity of items seen.

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7
Q

What is Cross-Modal Numerosity?

A

The ability to recognize matching quantities across different senses.

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8
Q

What numerical abilities are evident in infants?

A

Infants show early sensitivity to numerosity. 6-month-olds distinguish 8 vs. 16 dots (Spelke & Xu, 2000). Newborns match auditory/visual arrays (Izard et al., 2009).

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9
Q

What is hard for infants?

A

Discriminating smaller numerical differences (e.g., 4 vs. 8, 8 vs. 12); struggle with congruent/incongruent number displays (Izard et al., 2009).

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10
Q

What is the non-symbolic analog magnitude system?

A

A built-in ability to estimate and compare quantities without using exact numbers or symbols.

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11
Q

Key features of the non-symbolic analog magnitude system?

A

Available since birth, part of core number knowledge, supports approximate representation of large sets.

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12
Q

What is the object individuation system?

A

A cognitive ability to track and distinguish individual objects within a set, representing ‘how many distinct things’ are present.

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13
Q

Main features of the object individuation system?

A

Works in first year of life, tracks up to 3 objects, supports addition/subtraction, part of core number knowledge.

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14
Q

Can infants understand addition/subtraction?

A

Yes. Wynn (1992) showed 5-month-olds noticed incorrect number of puppets, indicating early understanding.

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15
Q

Can infants use number knowledge to guide actions?

A

Yes. Infants crawled to bucket with more crackers (Feigenson et al., 2002), and searched longer for missing items (Feigenson & Carey, 2003).

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16
Q

Can infants match numbers across senses?

A

Yes. Starkey et al. (1990): Infants matched visual arrays to matching drumbeats, showing cross-modal representation.

17
Q

How many objects can infants track at once?

A

1 to 3 objects (12–14 months). Ability collapses with >3 objects (Feigenson & Carey, 2003).

18
Q

What is the symbolic number system?

A

A system using words and symbols (e.g., ‘1’, ‘2’) to represent and manipulate precise and large numbers.

19
Q

When do infants begin learning language/number words?

A

From utero. Understand common words by 6 months (Bergelson & Swingley, 2012); count list by age 2.

20
Q

What do toddlers understand about counting?

A

Stable order (consistent sequence) and one-to-one correspondence (one label per object) (Gelman & Gallistel, 1978).

21
Q

What is cardinality?

A

Understanding that the last number word in a count represents the total items in a set.

22
Q

What if a child can count but doesn’t understand cardinality?

A

They can recite numbers but don’t understand that the final number represents the total amount.

23
Q

What is a Give-N task?

A

A test where children are asked to give a specific number of items, assessing their understanding of number words.

24
Q

What is a count list?

A

An ordered sequence of number words. Reciting it doesn’t mean the child understands numbers.

25
Levels of number knowledge in children?
Children progress from knowing specific number words (e.g., ‘one-knower’) to understanding counting rules and cardinality.
26
What is the cardinality principle?
The last number word in a count represents the total number of items.
27
What is the successor function?
Each number is one more than the previous, showing a systematic increase (e.g., 3 → 4).
28
Why do children find counting hard?
Number words refer to sets, not objects; counting uses an algorithm that must be discovered.