Quality criteria for mathematical models in relation to models' purposes: Their usefulness in higher engineering eduaction

Jacob Perrenet*, Bert Zwaneveld, Kees Van Overveld, Tijn Borghuis

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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Abstract

A taxonomy of eight quality criteria for mathematical models was developed for the common basic modelling course in the innovated BSc curriculum of the Eindhoven University of Technology. First year engineering students of all disciplines reflected on their modelling group projects, answering the question how their models could be improved, using the criteria. The students were also asked to indicate the purpose(s) of their models from a list of 16 purposes. This study explores the purposes’ and criteria’s usefulness, defined as relevance combined with understandability. The purpose of optimization proved to be most relevant, followed by analysis, prediction (what), and verification.The criteria of specialization, genericity, scalability, distinctiveness, and convincingness proved to be useful, the criteria of audience, impact, and surprise did not.
Original languageEnglish
Title of host publicationMathematical Modelling and Applications
Subtitle of host publicationCrossing and Researching Boundaries in Mathematical Education
EditorsGloria Ann Stillman, Gabriele Kaiser, Werner Blum
PublisherSpringer International Publishing AG
Chapter12
Pages141-152
Number of pages13
ISBN (Electronic)9783319629681
ISBN (Print)9783319629674
DOIs
Publication statusPublished - 2017

Publication series

SeriesInternational Perspectives on the Teaching and Learning of Mathematical Modelling
ISSN2211-4920

Keywords

  • purposes of modelling
  • optimization
  • analysis
  • prediction
  • verification

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  • Cite this

    Perrenet, J., Zwaneveld, B., Van Overveld, K., & Borghuis, T. (2017). Quality criteria for mathematical models in relation to models' purposes: Their usefulness in higher engineering eduaction. In G. A. Stillman, G. Kaiser, & W. Blum (Eds.), Mathematical Modelling and Applications: Crossing and Researching Boundaries in Mathematical Education (pp. 141-152). Springer International Publishing AG. International Perspectives on the Teaching and Learning of Mathematical Modelling https://doi.org/10.1007/978-3-319-62968-1_12