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Covariation and Functions: Developing Mathematical Knowledge for Teaching in Pre-service Secondary Teachers1
 

Summary: Covariation and Functions: Developing Mathematical Knowledge
for Teaching in Pre-service Secondary Teachers1
Bill Jacob, Carl Lager, & Kyunghee Moon
University of California Santa Barbara
Abstract: The purpose of this paper is to present results from of an
ongoing design research study that explores the development of
mathematical knowledge for teaching (MKT) in prospective secondary
teachers. The undergraduate math majors participated in this study while
enrolled in mathematics courses designed to 1) strengthen their own
understanding of collegiate mathematics through inquiry, 2) enhance
their understanding of the strategies and models that children use in
mathematics problem solving, and 3) develop their capacity to be able to
see the development of the big mathematical ideas in children's work
and to link this understanding to related big ideas in their own
investigations. The paper examines in detail their work related to
covariation and function in three iterations of the course and the roles of
these critical topics in MKT related to understanding of children's
thinking are discussed.
Section 1. Introduction
Research on the development of understanding of covariation function has proliferated

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics