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Students’ mistakes and strategies when matching a function’s graph with its derivative

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PROCEEDINGS OF THE 20TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION

2017

San Diego, California

Students’ mistakes and strategies when matching a function’s graph with its derivative

Page: 1613

This study explores a fundamental calculus connection between a function and its derivative byexamining and categorizing strategies students use when matching a function’s graph with thegraph of its derivative. Through interviews with four students using multiple choice (MC) tasks,we wanted to explore whether common mistakes and students’ strategies when drawing thegraph of the derivative of an original function are consistent with those found when usingopen-ended tasks. While tendency to find an equation of the graph in order to differentiate wasobserved, simple replication of the original function was not observed.Keywords:

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