Problem solving in the borderland between mathematics and physics

Jens Højgaard Jensen, Martin Niss, Uffe Thomas Jankvist

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

The article addresses the problématique of where mathematization is taught in the educational system, and who teaches it. Mathematization is usually not a part of mathematics programs at the upper secondary level, but we argue that physics teaching has something to offer in this respect, if it focuses on solving so-called unformalized problems, where a major challenge is to formalize the problems in mathematics and physics terms. We analyse four concrete examples of unformalized problems for which the formalization involves different order of mathematization and applying physics to the problem, but all require mathematization. The analysis leads to the formulation of a model by which we attempt to capture the important steps of the process of solving unformalized problems by means of mathematization and physicalization.
Original languageEnglish
JournalInternational Journal of Mathematical Education in Science and Technology
Volume48
Issue number1
Pages (from-to)1-15
Number of pages16
ISSN0020-739X
DOIs
Publication statusPublished - Jan 2017

Cite this

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Problem solving in the borderland between mathematics and physics. / Jensen, Jens Højgaard; Niss, Martin; Jankvist, Uffe Thomas.

In: International Journal of Mathematical Education in Science and Technology, Vol. 48, No. 1, 01.2017, p. 1-15.

Research output: Contribution to journalJournal articleResearchpeer-review

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AB - The article addresses the problématique of where mathematization is taught in the educational system, and who teaches it. Mathematization is usually not a part of mathematics programs at the upper secondary level, but we argue that physics teaching has something to offer in this respect, if it focuses on solving so-called unformalized problems, where a major challenge is to formalize the problems in mathematics and physics terms. We analyse four concrete examples of unformalized problems for which the formalization involves different order of mathematization and applying physics to the problem, but all require mathematization. The analysis leads to the formulation of a model by which we attempt to capture the important steps of the process of solving unformalized problems by means of mathematization and physicalization.

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