Exploring one student’s explanations at different ages: the case of Sharon
 Esther Levenson
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Abstract
This study describes the types of explanations one student, Sharon, gives and prefers at different ages. Sharon is interviewed in the second grade regarding multiplication of onedigit numbers, in the fifth grade regarding even and odd numbers, and in the sixth grade regarding equivalent fractions. In the tenth grade, she revisits each of these concepts again. The study investigates the different forms Sharon’s explanations take at different ages as well as how she perceives the nature of mathematical explanations at different ages. Sharon’s explanations are also used to investigate her conceptualization of the number zero, a concept which runs across the curriculum at different ages. Finally, the study explores a method for investigating the longterm mathematical development of one student. Implications for future research are discussed.
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 Title
 Exploring one student’s explanations at different ages: the case of Sharon
 Journal

Educational Studies in Mathematics
Volume 83, Issue 2 , pp 181203
 Cover Date
 20130601
 DOI
 10.1007/s1064901294471
 Print ISSN
 00131954
 Online ISSN
 15730816
 Publisher
 Springer Netherlands
 Additional Links
 Topics
 Keywords

 Mathematically based explanations
 Practically based explanations
 Zero
 Industry Sectors
 Authors

 Esther Levenson ^{(1)}
 Author Affiliations

 1. Tel Aviv University, Tel Aviv, Israel