Introducing the improved Heaviside approach to partial fraction decomposition to undergraduate students: Results and implications from a pilot study

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Abstract

Partial fraction decomposition is a useful technique often taught at senior secondary or undergraduate levels to handle integrations, inverse Laplace transforms or linear ordinary differential equations, etc. In recent years, an improved Heaviside’s approach to partial fraction decomposition was introduced and developed by the author. An important feature of this approach is that there is no need to solve a system of linear equations or to use differentiations to find the unknown coefficients of the partial fractions. In order to study its potential application in mathematics education at the undergraduate level, a pilot study of tryout at the Hong Kong Institute of Education has been conducted. The data are collected via quizzes, questionnaires and face-to-face interviews. In this article, the results and implications will be discussed. In general, according to the responses and feedbacks from the instructors and students concerned, the improved Heaviside approach is suitable to be introduced at the undergraduate level, as an alternative to the method of undetermined coefficients described in common undergraduate mathematics textbooks. Copyright © 2012 Taylor & Francis Group, an informa business.
Original languageEnglish
Pages (from-to)911-922
JournalInternational Journal of Mathematical Education in Science and Technology
Volume43
Issue number7
DOIs
Publication statusPublished - Oct 2012

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Oliver Heaviside
Partial fractions
Education
mathematics
Students
Decomposition
Decompose
Inverse transforms
Textbooks
quiz
Laplace transforms
Linear equations
Ordinary differential equations
Inverse Laplace Transform
textbook
Hong Kong
education
instructor
Linear Ordinary Differential Equations
student

Citation

Man, Y. K. (2012). Introducing the improved Heaviside approach to partial fraction decomposition to undergraduate students: Results and implications from a pilot study. International Journal of Mathematical Education in Science and Technology, 43(7), 911-922.

Keywords

  • Improved Heaviside approach
  • Cover-up technique
  • Partial fraction decomposition
  • Pilot study