LEARNING THE FOURIER TRANSFORM AND THE Z-TRANSFORM: UNDERSTANDING INSTRUMENTAL AND UNDERSTANDING RELATIONAL.
- Resource Type
- Article
- Authors
- Rivera-Figueroa, Antonio, ; De la Cruz-Oliva1m, Allan T.,
- Source
- Conference Papers -- Psychology of Mathematics & Education of North America; 11/14/2019, p829-836, 8p
- Subject
- Concept mapping
Mathematics education
Fourier transforms
Electronics engineer education
Relation algebras
- Language
The Fourier and Z-transforms are important topics in communications and electronics engineering careers. Given the difficulties implied by the mathematics involved in these transforms, we conducted a research with students from a Mexican university about their understanding they achieved once they had completed a course on these transforms. As a theoretical framework we take Richard Skemp's ideas on instrumental understanding and relational understanding. For the research a questionnaire was used for whose design a conceptual map was elaborated according to the ideas indicated and unstructured interviews were made to deepen on the conceptions of the students. The results suggest the need to attend in classroom the understanding of basic mathematical concepts as well as the nature of the mathematical objects involved in these transforms. [ABSTRACT FROM AUTHOR]