Mindy Kalchman
Outline of Talk
Modeling Children's Understanding of Mathematical Functions: The Influence of Robbie Case
Following his work with Sharon Griffin and Joan Moss on children's understanding of whole number and rational number, respectively, Robbie began working on children's understanding of a third topic that underpins mathematics as a discipline: Mathematical functions. In the third year of a funded project, Robbie and I were actively extending our understanding of the mathematics that characterize the domain, and consequently, modifying both the psychological model we hypothesized as the Central Conceptual Structure for mathematical functions and the curriculum we developed for promoting the hypothesized sequence of development. In this presentation, I will share some of our latest conceptual work on this topic as well as results from three instructional studies carried out in the winter and spring of 2000.
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