Number Concept (L6) Flashcards

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1
Q

what is meant by number concept in psychology?

A

numerosity, counting and arithmetic.

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2
Q

German and Gallistel created what?

A

the 5 counting principle

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3
Q

what are the 5 principles?

A

one to one principle, stable order principle, cardinal principle, order irrelevance principle, abstraction principle

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4
Q

what is one to one principle ?

A

one tag or counting word for each item in the set

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5
Q

what is the stable order principle?

A

tags must be used in the same way e.g. 123 not 132

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6
Q

what is the cardinal principle?

A

the tag of the final object in the set represents the total numberof items. e.g. two represents two separate entities

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7
Q

what is the order of relevance principle?

A

result the same regardless of the order you count items

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8
Q

what is the abstraction principle?

A

these principles can be applied to any collection of objects.

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9
Q

at what age are the 5 principle achievable?

A

5 yrs old sometimes by 3.

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10
Q

German and Meck tested 3-5 year olds how/

A

one to one, stable order and cardinal. children monitor the performance of puppet.

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11
Q

german and meck; one to one trial

A

correct trial but in error trial they skipped or doubled a number and then in pseduoerror they still followed principles.

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12
Q

German and Meck- stable order trial

A

correct trial and incorrect trial the numbers were reversed or in a random order.

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13
Q

german and meck- cardinal trial

A

correct and then in error minused one of the totla or refered to by colours.

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14
Q

what are the results of German and Meck’s study

A

found that detecting error rates where really high for all ages but children tended to do better when they are 4-5 rather than 3.

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15
Q

german and meck concluded that young children…

A

could understand principles even though they cannot articulate

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16
Q

barody (1984) tested for what in 5-7 yr olds

A

tests order irrelevance and cardinality.

17
Q

what is the procedure of barody’s experiment?

A

children count themselves, shown 8 items, then asked can you make 1 this number and if they think they can count to 8 the other way. if they did the children would know it would be 8 items.

18
Q

what were the results of barody’s experiment

A

only 45% of 5 yr olds but 84% of 7 yr olds could predict.

19
Q

Who replicated barody’s study?

A

gelam, meck and merkin

20
Q

what is gelman, meck and merkins study about?

A

did talking effect the childrens orginal performance, replicated barody’s study but allowed to cont 3x and asked if they could start with N.
Found that if you ask them to count 3 times or change the question number of children correct increases.

21
Q

what is an N task or knower levels task?

A

children asked to give a certain number of items to the experiment. sub set knowers refers to how many objects a child can give you.

22
Q

how do they use habituation to study number counting?

A

habituate the child to 8 dots and change to 3 dots if suprised/preferred suggests they understand the difference in the dots.

23
Q

Xu and Spelke found that 6 month olds can discriminate between what number of dots

A

8 and 16 dots

24
Q

however, Xu and Selke found that what ratios can the infants discriminate between

A

1:2 ration but 3:2 ratio they cannot do.

25
Q

Wynn conducted a looking time procedure how…

A

removed and added puppets to a stage, if the infants looked longer at the incorrect results suggests a basic understanding of addition

26
Q

Wynn showed the sum 1+1 = 2 or 3 which one did the infants prefer?

A

preferred 3 as they say it violated their expectations- suggesting 5 month olds can calculate simple arithmetics.

27
Q

who replicated Wynn’s study?

A

wakeley

28
Q

what was wakeley’s study and findings?

A

replicated wynn’s study but did the subtraction counterpart 3-1 = 2 or 1. they found no preference and revised wynn’s literature and found inconsistent results.

29
Q

feignenson et al (2004) reported that representing numercial magnitudes in the brain is associated with what brain area?

A

bilateral horizontal segment of the intraparietal sulcus.

30
Q

(feignenson et al) found that lesions in the IPS is associated with

A

acalculia.

31
Q

who proposed that parent talk of numbers had an impact on development on numerical concept

A

gunderson and levine (2011)

32
Q

what did gunderson & levine (2011) find about the influence of parent talk

A

within the study it was found that the amount of talk parents devoted to counting and labels especially higher sets of numbers is predictive of cardinal-number knowledge.

33
Q

(gunderson and levine 2011) what is the bootstrapping thoery

A

the small-exact-number is the critical component- that we must first learn mapping betweeen number words.