What Group Theory Can Do for You: From Magmas to Abstract Thinking in School Mathematics

Veith JM, Bitzenbauer P (2022)


Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2022

Journal

Book Volume: 10

Pages Range: 703

Journal Issue: 5

DOI: 10.3390/math10050703

Open Access Link: https://doi.org/10.3390/math10050703

Abstract

In this paper, we present a novel concept for an abstract algebra course at the secondary school level. Against the backdrop of findings from mathematics education research, we discuss benefits that arise from teaching abstract algebra to secondary school students. We derive suitable content items as well as educational ideas on how to implement them into mathematics classrooms. We build on frameworks from mathematics education research to design a teaching-learning sequence that enables a beneficial learning trajectory across three units— the result is a coherent teaching concept that encompasses Magmas in a hands-on way. It can be used for either extra-curricular activities or advanced courses in mathematics classes, and can be of benefit for mathematics learners.

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How to cite

APA:

Veith, J.M., & Bitzenbauer, P. (2022). What Group Theory Can Do for You: From Magmas to Abstract Thinking in School Mathematics. Mathematics, 10(5), 703. https://dx.doi.org/10.3390/math10050703

MLA:

Veith, Joaquin M., and Philipp Bitzenbauer. "What Group Theory Can Do for You: From Magmas to Abstract Thinking in School Mathematics." Mathematics 10.5 (2022): 703.

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