Creating Use of Different Representations as an Effective Means to Promote Cognitive Interest, Flexibility, Creative Thinking, and deeper understanding in the Teaching of Calculus

Miriam Dagan, Pavel Satianov, Mina Teicher

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In this paper, we discuss some ways of developing intrinsic interest in mathematics in the course of teaching of calculus for engineering students. Our experience shows that the use of different representations for solving various problems promotes cognitive interest, creative thinking and deeper understanding of mathematics and assists essentially in many fields of knowledge. The examples in the paper are chosen from non-routine problems associated with understanding of two-way correspondence between formulas and graphs in rectangular and polar coordinate systems.

Original languageEnglish
Pages (from-to)41-51
Number of pages11
JournalMathematics Teaching-Research Journal
Volume10
Issue number3-4
StatePublished - 2018

Bibliographical note

Publisher Copyright:
© 2018 City University of New York. All rights reserved.

Keywords

  • Calculus teaching
  • Challenge problems
  • Cognitive motivation
  • Creative thinking
  • Different representations
  • Equations and their graphs
  • Exercise- based learning
  • Problems-based learning
  • Rectangular and polar coordinate systems
  • Surprising answers

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