Encyclopedia of Mathematics Education

Living Edition
| Editors: Steve Lerman

Differential Equations Teaching and Learning

  • Oh Nam KwonEmail author
Living reference work entry
DOI: https://doi.org/10.1007/978-3-319-77487-9_100023-1

Definition

Differential equations (DEs) are ubiquitous in applied mathematics and form a major component of undergraduate mathematics curricula at most universities. They are also part of undergraduate and graduate mathematics courses for students in a wide variety of disciplines: chemistry, life sciences, and economics. DEs provide models for many real-life situations and thus allow the formulation of phenomena from other disciplines. Research studies in mathematics education have been concerned about the processes of teaching and learning of the concept of ordinary differential equations and related themes such as directional fields, solution methods, equilibrium solutions, or those solutions that involve systems of ordinary differential equations.

Differential Equations Curriculum

Although analytic techniques for finding closed-form solutions to DEs have long been a mainstay of the traditional introductory DEs course, in practice, when modeling a physical or realistic problem with a...

Keywords

Differential equations Students’ understanding and difficulties Inquiry-oriented teaching Tertiary education 
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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.College of Education, Department of Mathematics EducationSeoul National UniversitySeoulKorea

Section editors and affiliations

  • Michèle Artigue
    • 1
  1. 1.Laboratoire de Didactique André Revuz (EA4434)Université Paris-DiderotParisFrance