Developmental 4: Space and number Flashcards

(46 cards)

1
Q

What are conservation failures?

A

Striking failures of reasoning about physical properties until the “concrete operational” stage (around 6-7 years)
Child does not understand that quantity stays the same despite appearing different in different containers/shapes

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2
Q

What is the three mountains task (Piaget)?
At what age can children successfully do this?

A

Children have to choose a picture of how three mountains would look from a certain point of view

Preschool children (≤ 4 yrs) unable to choose pictures showing how the mountains would look from other points of view
Tend to choose the picture of their own view - “egocentrism”
Consistently correct solutions not until 10-12 years

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3
Q

Does explicit reasoning about formal properties (e.g. space, number, area, volume) take a long time to develop?

A

Yes

However, basic precursors for these abilities develop very early - studies show that infants have capabilities for representing space and number (as do animals)

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4
Q

Are later developing formal spatial and mathematical systems uniquely human?

A

Yes
They are supported by language

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5
Q

What is an issue with conservation tasks?

A

Experimenter effect

Child feels they need to behave well and answer leading questions the right way - may feel they have to say they are different simply because experimenter made a change

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6
Q

What cognitive abilities does the three mountains task use?

A

Inhibition and cognitive switching

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7
Q

What are basic vs formal abilities for understanding space?

A

Basic = location coding and navigation
Formal = map reading and geometry

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8
Q

What are basic vs formal abilities for understanding number and maths?

A

Basic = small number tracking and large number discrimination
Formal = exact numerosity and arithmetic

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9
Q

What is egocentric spatial orienting? (present from birth)

A

Can roughly orient towards visual, auditory or tactile stimuli - relative to their own body

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10
Q

What does egocentric spatial orienting develop into by age 1?

A

Spatial updating (keeping track of locations as you move)

Start to take own movement into account during 1st year

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11
Q

When does room geometry develop? (Use of spatial updating and landmarks to find a specific landmark)

A

18-24 months

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12
Q

When can children use flexible coding using indirect landmarks?

A

At 5+ years

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13
Q

From egocentrism to spatial updating: Experiment done in which infant learns to orient to Window A where an experimenter is playing “peekaboo” whenever a buzzer sounds (infant’s RIGHT).
Infant is carried to the opposite side. The buzzer sounds.
AT what age do infants look to the correct window A, (now infant’s LEFT) or the incorrect window B (but egocentrically “correct”) window?

A
  • At 11 months - orient relative to their own body - their right
  • After 1 year - orient to the side of the room where peekaboo happens - non-egocentric orienting
    Ability to update position correctly when moved develops at around 1 year.
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14
Q

What is spatial updating?

A

Keeping track of locations as you move
- Well-known in animal world - foraging for food
- AKA path integration or dead reckoning

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15
Q

What is landmark use?

A

Coding where a target is relative to landmarks

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16
Q

At what age do infants develop spatial updating and landmark use?

A

Around 18 months

Updating = 16 months +
Landmark use = 22 months +

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17
Q

What is the sandbox task?

A

Infant sees toy be hidden (buried)

Egocentric condition:
Retrieve toy from same side - solve this egocentrically simply by encoding relative to body

Opoosite side condition:
Retrieve toy from opposite side
This requires either updating body encoding to take own movement into account AND/OR using external landmarks

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18
Q

How do 16 month olds vs 22 month olds perform on the sandbox task?

A

At 16 months, navigating to same side and opposite side were both above chance

Adding extra landmarks in the room improved performance only from 22 months+

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19
Q

What is the disorientation task?

A

Measures landmark use (room geometry)

Remove updating by disorientating - people cannot keep track of where they are - purely rely on landmarks
Spin child around
4 walls - 3 white 1 blue - feature colour information
2 walls short 2 walls long
Toy that child likes - put it in one of the boxes in four corners
Where will they look for toy after being disorientated?

Geometry - will choose corner with long wall on left and short wall on right - 2 corners
Colour (featural) - corner of blue wall
Both - correct corner - long wall on left and short wall on right and short wall is blue

20
Q

How do 18 month olds vs 4 year olds use geometry vs feature information on disorientation tasks?

A

18 month olds use geometry over feature information - not yet relevant for them to orient themselves in a space

By 4 years, children use both to orient to correct corner

21
Q

What was Spelke’s proposed innate geometric module?

A

Innate geometric module for processing room shape - modular as it does not let in feature info

This would explain why 18 month olds do not use feature info

22
Q

How does Spelke explain why the disorientation task is solved at 4 years?

A

Attribute this to development of language abilities. “Core” (innate) geometric understanding combined with linguistic coding for left/right/next to, etc.

23
Q

Do humans have an early developing capacity to perceive the shape (geometry) of 3D layouts?

24
Q

Nardini et al (2006) Virtual reality study:
3-6 year-olds had to recall the location of a toy within an array surrounded by landmarks.
When changed viewpoint is produced by walking around - can use spatial updating - at what age can this be solved?

25
Nardini et al (2006) Virtual reality study: 3-6 year-olds had to recall the location of a toy within an array surrounded by landmarks. When changed viewpoint is produced by the board being rotated - have to use the landmarks - at what age can this be solved?
5+
26
At what age does pure landmark use develop?
Around 5 years Most sophisticated and useful kind of coding – find locations from new viewpoints, even without updating
27
How does Spelke think spatial navigation develops?
Nativist approach. “core knowledge” of basic spatial concepts supplemented by education and language
28
How does Newcombe think that spatial navigation develops?
Empiricist or “neoconstructivist” approach. Increasingly sophisticated spatial coding schemes are constructed from experience
29
What do place and response rat studies show about spatial navigation?
There are dissociable neural bases for different kinds of spatial coding “place” learning and flexible landmark use associated with the hippocampus - in animals, human patients and healthy humans
30
At what age can a child find a toy in a real room based on location in a model room?
3 years Shows symbolic understanding (a map symbolises the real environment), through nature of spatial coding
31
Education increases % correct when identifying the odd one out of various geometric shapes. Do cultural differences affect this too?
No Perception of similar geometric features independent of education - some kind of innate geometry system Also, people can have persistent problems with geometry throughout education Mundurucu and US children find similar items easy vs difficult. Also Mundurucu and US adults, and US children and US adults.
32
What is the role of education in geometric abilities?
Refining them While there is evidence for universal and early developing understanding of geometric concepts, education needed to refine this However, education not always effective - some errors persist even in geometrically educated adults - limited effect of education
33
At what age do early developing abilities to use maps as symbols, and relate spatial relations in maps to spatial relations in real layouts emerge?
2nd year of life
34
Who believes that there may be a continuum between infants’ early sensitivity to geometry for reorientation and later geometric abilities?
Spelke
35
Which two number abilities do infants have early on?
Small numbers – keep track of nearby objects of interest Large numbers – judge which of two sets is more numerous
36
What are the possible and impossible outcomes of experiment 'Addition and subtraction by human infants'?
Object is placed in a case, screen covers object, then a second object added behind the screen Possible = screen drops revealing 2 objects Impossible = screen drops revealing 1 object
37
In Addition and subtraction by human infants, which outcome do 5 month olds look at for longer? What does this show?
Impossible event Shows that they keep track of how many there are, and understand the effect of adding or subtracting 1 Shows they were expecting to see 2 objects Works the same way when you put one object there and impossible event is seeing 2 objects
38
What is an explanation for infants' small number tracking abilities?
Untrained birds and primates have been found to represent the exact numerosity of small sets of objects Exact number representations are limited to about 3-4 May be related to the “object file” system that evolved to allow us to keep track of 3-4 moving objects
39
Can 6 month old discriminate between 8 vs 12 dots?
No, but they can discriminate between 8 and 16 (Dots vary in layout and size, but always the same number of dots to habituate to, then test will be either the same number or different number)
40
Can infants disciminate approximate number of tones? (Auditory domain)
Yes
41
Does infant ability to discriminate numerosity depend on the raw numbers?
No - depends on the ratio In general, infants can discriminate 2x ratio but not 1.5x (Birds, rodents, and primates can do this too)
42
What is infants' subitising ability?
Can keep track of exact numbers up to about 3-4
43
What is infants' approximate number system?
Discriminate larger numbers with >1.5 ratios
44
What is an important foundation for exact numerosity?
Learning to count Counting builds on previous nonverbal knowledge and serves as the basis for future numerical understanding
45
Is acquiring the exact number system for large numbers dependent on education?
Young children and adults from indigenous groups without formal education represent large numbers on a non-linear (log) scale e.g. children before school will position numbers on the number line as if the difference between 10 and 20 is as great as between 50 and 100 Or the difference between 7 and 8 is much bigger than the difference between 207 and 208
46
What is accuracy of children's approximate number system at 14 years correlated with?
Their maths ability with exact numbers on school tests at 5-11 yrs Suggests some continuity between the two systems Innate system predicts ability to learn later formal ones