Number Concept: Theoretical and Empirical Views of Number Processing
Cayton, Gabrielle A.
- A qualifying paper submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics Education. Abstract: Studies of children's numerical understanding over the last decade suggest that there are identifiable progressions in how children develop number concepts. This paper provides a review of the leading research on number concept and how it relates to the... read moreresearch on external representation of number and number processing models. It is evident from this review that, while there are many hypotheses surrounding the processing, representation, and interpretation of numbers, much still has to be learned about this subject in young children. While there are several theories about how children come to understand the number system using various metaphors such as computer programs that learn through experience, currently, the data on young children has yet to provide any conclusive evidence regarding the early childhood number concept and how it gradually develops. There is a strong need for research in which aspects of the leading number processing theories may apply to children in their acquisition of a full-fledged number concept.read less