Concept Formation Processes regarding Height and Base in Triangles

Felicitas Pielsticker

doi:10.29333/iejme/10891

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Felicitas Pielsticker ¹ ^*

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¹ University of Siegen, GERMANY^* Corresponding Author

Abstract

The paper addresses concept formation processes of a student in the field of geometry. More precisely, the paper deals with the question of how to assist a student in a mathematical concept formation process – in the context of area calculations in triangles – with a specially designed learning environment based on the usage of 3D printed objects. Methodologically, we use the descriptive framework of the concept of Domains of Subjective Experience for the analysis of our case study. The objective is to describe the use of a learning environment to initiate targeted, theoretical concepts with a student. The student develops an empirical notion of bases and heights in triangles (with respect to the calculation of surface areas), using 2D drawings and 3D printed objects. In this article we argue, teaching mathematics consistently in an object-oriented and practical (visual) way, and additionally promoting the development of concept formation as a mathematical activity, brings a student in a situation where he develops hypotheses, tries them out, and transfers them to other fields of application; thus engages in concept formation processes.

Keywords

concept formation processes
empirical objects
3D printing

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, Volume 16, Issue 2, May 2021, Article No: em0633

https://doi.org/10.29333/iejme/10891

Publication date: 07 May 2021

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Declaration of Conflict of Interest: No conflict of interest is declared by author(s).

Data sharing statement: Data supporting the findings and conclusions are available upon request from the corresponding author(s).

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How to cite this article

APA

Pielsticker, F. (2021). Concept Formation Processes regarding Height and Base in Triangles. International Electronic Journal of Mathematics Education, 16(2), em0633. https://doi.org/10.29333/iejme/10891

Vancouver

Pielsticker F. Concept Formation Processes regarding Height and Base in Triangles. INT ELECT J MATH ED. 2021;16(2):em0633. https://doi.org/10.29333/iejme/10891

AMA

Pielsticker F. Concept Formation Processes regarding Height and Base in Triangles. INT ELECT J MATH ED. 2021;16(2), em0633. https://doi.org/10.29333/iejme/10891

Chicago

Pielsticker, Felicitas. "Concept Formation Processes regarding Height and Base in Triangles". International Electronic Journal of Mathematics Education 2021 16 no. 2 (2021): em0633. https://doi.org/10.29333/iejme/10891

Harvard

Pielsticker, F. (2021). Concept Formation Processes regarding Height and Base in Triangles. International Electronic Journal of Mathematics Education, 16(2), em0633. https://doi.org/10.29333/iejme/10891

MLA

Pielsticker, Felicitas "Concept Formation Processes regarding Height and Base in Triangles". International Electronic Journal of Mathematics Education, vol. 16, no. 2, 2021, em0633. https://doi.org/10.29333/iejme/10891