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The role of experience in children’s acquisition of space, time, and number words Elena The role of experience in children’s acquisition of space, time, and number words Elena Nicoladis University of Alberta

The big question • How do children learn meaning of words referring to abstract The big question • How do children learn meaning of words referring to abstract concepts? – Development of abstract concepts – Relationship of language to conceptual development • Focus here: number, time and space

How are number, space and time related? • Piaget vs. Kant • I have How are number, space and time related? • Piaget vs. Kant • I have colleagues who are interested in these concepts • Children learn something about these concepts at an early age and their understanding/use of these concepts changes with age

Outline • Background – Development of abstract concepts – Relationship between language and thought Outline • Background – Development of abstract concepts – Relationship between language and thought in development • • Number Time Space Do these have anything to do with each other?

Development of abstract concepts • Piaget – Rational knowledge emerges from early sensorimotor experience Development of abstract concepts • Piaget – Rational knowledge emerges from early sensorimotor experience – For example, infants have implicit understanding of causality – Therefore abstract concepts come from concrete concepts – For example, temporal concepts come from spatial concepts • Taller people are older

Development of abstract concepts • Since Piaget – Infancy research • Infants react to Development of abstract concepts • Since Piaget – Infancy research • Infants react to perceptual stimuli on what could be described as abstract basis • E. g. , Can tell the difference between 1 and 2 visually; Can differentiate differently ordered images – The function of the concepts could be important • Particularly sociocultural function

Language and thought in development • Language does not necessarily map onto preverbal concepts Language and thought in development • Language does not necessarily map onto preverbal concepts • For ex. , Korean- and English-speaking children encode different aspects of spatial relations (Bowerman & Choi, 1990) • Learning spatial language has to do with frequency in the input

Language and thought in development • Chinese and English both encode: – path of Language and thought in development • Chinese and English both encode: – path of motion (he goes up) – manner of motion (he’s running) – resultatives (he goes byebye) • Chinese-English bilingual children, graph of their dominant language

How do children learn language referring to number, time and space? • I’m going How do children learn language referring to number, time and space? • I’m going to start with words – Number words 1 -100 (0) – Temporal words (particularly before and after) – Spatial word: Where • Converging methodology – “Naturalistic” data – Experimental data • Assumption: language use reflects thoughts

Some important aspects in learning language referring to abstract concepts Number Experience (with number Some important aspects in learning language referring to abstract concepts Number Experience (with number words? ) Time First-person perspective/experience Space Repackaging? ?

Number colleagues • • Jeff Bisanz Elaine Ho Joyce Leung Carmen Rasmussen Number colleagues • • Jeff Bisanz Elaine Ho Joyce Leung Carmen Rasmussen

Number language and thought • Miller, Smith, Zhu, & Zhang (1995) argued that language Number language and thought • Miller, Smith, Zhu, & Zhang (1995) argued that language transparency was one factor in Chinese-speaking children’s early acquisition of number words • Study compared 3 -5 year old American English-speaking children with Chinesespeaking children in China • Asked them to count as high as they could

Miller et al. ’s results Miller et al. ’s results

Culture not controlled for • We asked 25 Chinese-English bilingual children living in Alberta Culture not controlled for • We asked 25 Chinese-English bilingual children living in Alberta to count as high as they could – Once in Chinese – Once in English • Bilingual children often speak one language better than the other

By dominant language By dominant language

Number study conclusions • Children counted better in the language they knew better • Number study conclusions • Children counted better in the language they knew better • Suggesting that experience plays a role in learning number words • We have not disproven language transparency-- it’s just later in development or less important than frequency

Learning number words • How does experience could play a role? – Frequency of Learning number words • How does experience could play a role? – Frequency of hearing – Frequency of practicing – Earlier and/or higher numbers heard – Earlier and/or higher numbers used • Study: looks at Chinese-speaking children in Hong Kong speaking with adults

Children’s use of number words Children’s use of number words

Adults’ use of number words Adults’ use of number words

Summary of results of number study • Children and adults talk a lot about Summary of results of number study • Children and adults talk a lot about 1 -3 and a fair bit about 4 -10 • Higher numbers are infrequent • Two hints about Chinese advantage – One child suddenly counted to 28 about a month after his third birthday – Two older sisters wandered through, assigning themselves math problems

Take-home message about numbers • Experience matters with learning number words • We don’t Take-home message about numbers • Experience matters with learning number words • We don’t yet know what about experience makes a difference: probably academic setting helps with 11+ – Peers? – Educators do something interesting with numbers?

My partner in time • Peter J. Lee My partner in time • Peter J. Lee

Time word background • Children are lousy with time words (concepts) before school age Time word background • Children are lousy with time words (concepts) before school age • They confuse before/after, yesterday/tomorrow • Four-year olds do not order events well • Piaget argued that children learn time as metaphor for space – Most experiments used speed as dependent measure

But… • Do children learn about time as metaphor for space? • Infants are But… • Do children learn about time as metaphor for space? • Infants are sensitive to order of images as young as 8 months • Marilyn Shatz has argued that children often learn a large category (like colour) and make mistakes within that category (blue for green)

Study 1 • Time words in naturalistic conversation • We looked at lots of Study 1 • Time words in naturalistic conversation • We looked at lots of temporal words (before, after, yesterday, tomorrow, hour, minute, day, week, year, etc. ) • English-speaking child (Abe) in interaction with his parents from 2; 4 to 5 years

Percentage errors by age Percentage errors by age

Number of temporal references Number of temporal references

Summary of results • Abe made very few errors in using time words • Summary of results • Abe made very few errors in using time words • Context of use of time words – Reconstructing past events for one parent – Negotiating future events • One study showed that four-year olds are better at ordering everyday events than decontextualized story events

Study 2 • We used the same events for children to sort but varied Study 2 • We used the same events for children to sort but varied their experience with them • 3 Conditions: – Control condition: Sort Ms. Potatohead according to how she must have been built – Retrospective condition: Build Ms. Potatohead then sort the cards in that order – Prospective condition: Plan with experimenter how to build Ms. Potatohead then do it in that order

Study 2 • 60 children between 3 and 5 years • Rank order correlations: Study 2 • 60 children between 3 and 5 years • Rank order correlations: – 0 -1, with higher number indicating a closer relationship between the two orders

Our pictures Our pictures

Average rank order correlations t(28) = 1. 5, p > 0. 14 24% Control Average rank order correlations t(28) = 1. 5, p > 0. 14 24% Control 100% 48% Prosp. 100%

Average rank order correlations t(32) = -3. 54, p > 0. 001 24% Control Average rank order correlations t(32) = -3. 54, p > 0. 001 24% Control 100% 57% Retro. 100%

Summary of study 2 • We showed that children are better at retrospective ordering Summary of study 2 • We showed that children are better at retrospective ordering than logical ordering • They are not significantly better at prospective ordering than logical ordering on this task

Take-home message • First-person experience can make a difference in understanding or performing on Take-home message • First-person experience can make a difference in understanding or performing on ordering task • Piaget correct that logic follows personal experience in development • Understanding time does not necessarily come from understanding space first

Space colleagues • Edward Cornell • Melissa Gates Space colleagues • Edward Cornell • Melissa Gates

What does “where” mean? • We know that children use “where” very early-- one What does “where” mean? • We know that children use “where” very early-- one of the earliest question words • Studies of children’s nonverbal conceptualizations of space have shown that they tend to think of route earlier than location • Easier to think along horizontal planes than vertical planes

Does “where” mean route or location? • 5 children interacting with parents at 2; Does “where” mean route or location? • 5 children interacting with parents at 2; 0, 2; 6, 3; 0, 3; 6 • Looked at children’s responses to parents’ use of “where” • Transcripts already coded for children’s gesture use (including points)

Results Results

Summary of results • Children pointed more as parents asked more genuine “where” questions Summary of results • Children pointed more as parents asked more genuine “where” questions • We could not distinguish whether children meant location or route – points usually were along both route and location

Space Study 2 • 42 children from 2 -4 years • Two questions about Space Study 2 • 42 children from 2 -4 years • Two questions about “where”: – Point to a hidden object – Point to rooms • Same floor • Different floor • Dependent measures: points to route vs. points to location

Toy pointing set-up Toy Sofa Pointing box Toy pointing set-up Toy Sofa Pointing box

Results Results

Summary of results • Children always point to the location of a hidden object Summary of results • Children always point to the location of a hidden object • Younger children point to route to rooms while older children (4 year olds) point to location

Interpretation of results • As children get older they think of rooms as locations Interpretation of results • As children get older they think of rooms as locations • They can think about large space AS IF it is small space • Maybe around 4 years of age children could switch strategies of “where” responses – “Where is the bathroom? ”

Some important aspects in learning language referring to abstract concepts Number Experience (with number Some important aspects in learning language referring to abstract concepts Number Experience (with number words? ) Time First-person perspective/experience Space Repackaging? ?

Learning abstract concepts • Socially interesting – E. g. , highly frequent • First-person Learning abstract concepts • Socially interesting – E. g. , highly frequent • First-person experience --> ability to use other perspectives – Time (before/after) – Space (late conceptualization of rooms as locations) • Absolute --> relative – Number (90 = a lot) --> 96 vs. 97 – Where = location of objects, route to rooms --> location

Isn’t this just restating what Piaget said? • Similarities – Importance of first-person perspective Isn’t this just restating what Piaget said? • Similarities – Importance of first-person perspective N. b. , I am not saying that children ARE egocentric – Absolute --> relative • Differences – Acknowledgement of innate/early knowledge – Social worlds: the context matters a lot – Children are not initially concrete thinkers

Some future directions • I haven’t really looked well at the meaning of children’s Some future directions • I haven’t really looked well at the meaning of children’s number words • Spell out what “important in social context” means • Some indication that “think” might follow the same pattern….