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On the Analysis of Mathematical Practices in Signal Theory Courses
International Journal of Research in Undergraduate Mathematics Education Pub Date : 2021-05-18 , DOI: 10.1007/s40753-021-00138-9
Reinhard Hochmuth , Jana Peters

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.



中文翻译:

信号理论课程的数学实践分析

该贡献旨在针对来自电气工程信号理论课程的某项练习的学生解决方案进行特定主题的分析。分析的基础是通过人类学研究(从教学人类学理论的意义上)和确定两种机构数学话语提供的,一种涉及工程师的高级数学,另一种涉及电气工程。关于机构观察与学生解决方案分析之间的关系,除其他外,我们参考了韦伯(Weber,1904年)的理想类型概念。在学生解决方案的特定主题分析中,我们特别处理单个处理步骤中的过渡和相互关系,这些处理步骤涉及两种数学论述以及将数学嵌入电气工程环境的不同形式。最后,我们提出一些教学思路。

更新日期:2021-05-18
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