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IJIET 2017 Vol.7(1): 71-75 ISSN: 2010-3689
doi: 10.18178/ijiet.2017.7.1.844

Investigate the Performance of Multiple Problem-Solving Strategies for the Unit of “Finding the Area by a Definite Integral”

M. Y. Ting

Abstract—Integration is an important topic in the mathematics curriculum, but students generally believe that it is difficult to cope with the challenges of solving integration problems. In order to accurately and efficiently solve integration problems, students need to develop problem-solving flexibility — they need to learn a variety of strategies, and to solve a particular problem, and how to choose the best among these strategies. In this study, multiple problem-solving strategies had been investigated by applying two patterns, the computerized assessment had been held in order to estimate the greatest possible performance of the students in the unit of finding area by integration. Eleven classes of students from an unnamed university were chosen as samples of this study. This study would compare different problem-solving strategies and hope to help the students to have a broader learning. They were divided into three groups, in which the first answered all items with the preferred strategy, the second answered half the items with the preferred strategy and the third was not instructed to use any particular strategy. After the computerized test, it was found that. Group 1 performed better on the test overall. This study also conducted the simulations to confirm the group 1, who took the preferred strategy, had the best performance. It is hoped that the results of this research may assist as a reference to those teachers who are interested in them.

Index Terms—Definite integral, multiple problem-solving strategies, the knowledge structure, experts’ knowledge structure, DINA, MS-DINA.

Mu-Yu Ting is with Center for General Education, Formosa University, Taiwan (e-mail: mwa@nfu.edu.tw).


Cite: M. Y. Ting, "Investigate the Performance of Multiple Problem-Solving Strategies for the Unit of “Finding the Area by a Definite Integral”," International Journal of Information and Education Technology vol. 7, no. 1, pp. 71-75, 2017.

General Information

  • ISSN: 2010-3689 (Online)
  • Abbreviated Title: Int. J. Inf. Educ. Technol.
  • Frequency: Monthly
  • DOI: 10.18178/IJIET
  • Editor-in-Chief: Prof. Dr. Steve Thatcher
  • Executive Editor: Ms. Nancy Y. Liu
  • Abstracting/ Indexing: Scopus (CiteScore 2022: 2.0), INSPEC (IET), UGC-CARE List (India), CNKI, EBSCO, Google Scholar
  • E-mail: ijiet@ejournal.net


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