Engaging students in conjecturing through homework in real analysis and differential equations

Thomas Pawlaschyk, Sven Ake Wegner

Research output: Contribution to journalComment/debate

Abstract

In this note, we report on an implementation of discovery-oriented problems in courses on Real Analysis and Differential Equations. We explain a type of task design that gives students the opportunity to conjecture, refute and prove. What is new is that the complexity in our problems is limited and thus the tasks can also be used in homework assignments. In addition to several concrete examples, we also discuss feedback and assessment outcomes of our students.

Original languageEnglish
Pages (from-to)439-450
Number of pages12
JournalInternational Journal of Mathematical Education in Science and Technology
Volume51
Issue number3
DOIs
Publication statusPublished - Apr 2 2020

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Keywords

  • Real analysis
  • conjecture
  • counterexample
  • differential equations
  • homework task design
  • proof
  • refutation

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Education
  • Applied Mathematics

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