On the Analysis of Mathematical Practices in Signal Theory Courses

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Original languageEnglish
Pages (from-to)235-260
Number of pages26
JournalInternational Journal of Research in Undergraduate Mathematics Education
Volume7
Issue number2
Early online date18 May 2021
Publication statusPublished - Jul 2021

Abstract

The contribution aims at subject-specific analyses of student solutions of an exercise from an electrical engineering signal theory course. The basis for the analyses is provided by praxeological studies (in the sense of the Anthropological Theory of Didactics) and the identification of two institutional mathematical discourses, one related to higher mathematics for engineers and one related to electrical engineering. Regarding the relationship between institutional observations and analyses of students’ solutions, we refer, among others, to Weber’s (1904) concept of ideal types. In the subject-specific analyses of student solutions we address in particular transitions and interrelations within single processing steps that refer to the two mathematical discourses and different forms of embedding of mathematics into the electrical engineering context. Finally, we present a few ideas for teaching.

Keywords

    Anthropological theory of the didactic, Ideal typical discourses, Institutions, Mathematical practices, Student solutions

ASJC Scopus subject areas

Cite this

On the Analysis of Mathematical Practices in Signal Theory Courses. / Hochmuth, Reinhard; Peters, Jana.
In: International Journal of Research in Undergraduate Mathematics Education, Vol. 7, No. 2, 07.2021, p. 235-260.

Research output: Contribution to journalArticleResearchpeer review

Hochmuth, R & Peters, J 2021, 'On the Analysis of Mathematical Practices in Signal Theory Courses', International Journal of Research in Undergraduate Mathematics Education, vol. 7, no. 2, pp. 235-260. https://doi.org/10.1007/s40753-021-00138-9
Hochmuth, R., & Peters, J. (2021). On the Analysis of Mathematical Practices in Signal Theory Courses. International Journal of Research in Undergraduate Mathematics Education, 7(2), 235-260. https://doi.org/10.1007/s40753-021-00138-9
Hochmuth R, Peters J. On the Analysis of Mathematical Practices in Signal Theory Courses. International Journal of Research in Undergraduate Mathematics Education. 2021 Jul;7(2):235-260. Epub 2021 May 18. doi: 10.1007/s40753-021-00138-9
Hochmuth, Reinhard ; Peters, Jana. / On the Analysis of Mathematical Practices in Signal Theory Courses. In: International Journal of Research in Undergraduate Mathematics Education. 2021 ; Vol. 7, No. 2. pp. 235-260.
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