On the Analysis of Mathematical Practices in Signal Theory Courses

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)235-260
Seitenumfang26
FachzeitschriftInternational Journal of Research in Undergraduate Mathematics Education
Jahrgang7
Ausgabenummer2
Frühes Online-Datum18 Mai 2021
PublikationsstatusVeröffentlicht - Juli 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.

ASJC Scopus Sachgebiete

Zitieren

On the Analysis of Mathematical Practices in Signal Theory Courses. / Hochmuth, Reinhard; Peters, Jana.
in: International Journal of Research in Undergraduate Mathematics Education, Jahrgang 7, Nr. 2, 07.2021, S. 235-260.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Hochmuth, R & Peters, J 2021, 'On the Analysis of Mathematical Practices in Signal Theory Courses', International Journal of Research in Undergraduate Mathematics Education, Jg. 7, Nr. 2, S. 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 Mai 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 ; Jahrgang 7, Nr. 2. S. 235-260.
Download
@article{2926d12fa66448b580b13789d7152f7e,
title = "On the Analysis of Mathematical Practices in Signal Theory Courses",
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{\textquoteright} solutions, we refer, among others, to Weber{\textquoteright}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",
author = "Reinhard Hochmuth and Jana Peters",
year = "2021",
month = jul,
doi = "10.1007/s40753-021-00138-9",
language = "English",
volume = "7",
pages = "235--260",
number = "2",

}

Download

TY - JOUR

T1 - On the Analysis of Mathematical Practices in Signal Theory Courses

AU - Hochmuth, Reinhard

AU - Peters, Jana

PY - 2021/7

Y1 - 2021/7

N2 - 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.

AB - 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.

KW - Anthropological theory of the didactic

KW - Ideal typical discourses

KW - Institutions

KW - Mathematical practices

KW - Student solutions

UR - http://www.scopus.com/inward/record.url?scp=85108781989&partnerID=8YFLogxK

U2 - 10.1007/s40753-021-00138-9

DO - 10.1007/s40753-021-00138-9

M3 - Article

AN - SCOPUS:85108781989

VL - 7

SP - 235

EP - 260

JO - International Journal of Research in Undergraduate Mathematics Education

JF - International Journal of Research in Undergraduate Mathematics Education

IS - 2

ER -

Von denselben Autoren