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Mirin, Alison; Zazkis, Dov – For the Learning of Mathematics, 2020
Much of the education research on implicit differentiation and related rates treats the topic of differentiating equations as an unproblematic application of the chain rule. This paper instead problematizes the legitimacy of this procedure. It develops a conceptual analysis aimed at exploring how a student might come to understand when and why one…
Descriptors: Calculus, Mathematics Education, Mathematical Concepts, Problem Sets
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Uygun, Tugba; Guner, Pinar – International Journal of Contemporary Educational Research, 2019
The purpose of the current study is to examine the ways in which preservice middle school mathematics teachers (PMSMT) apply and represent algebraic reasoning in their solution processes for the problems in the concept of sets. This model provides detailed information about the reasoning made through the process of the solution of set problems.…
Descriptors: Preservice Teachers, Middle School Teachers, Mathematics Teachers, Mathematics Skills