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

Joaquin Marc Veith and Philipp Bitzenbauer
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Joaquin Marc Veith: Institut für Mathematik und Angewandte Informatik, Stiftung Universität Hildesheim, 31141 Hildesheim, Germany
Philipp Bitzenbauer: Physikalisches Institut, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058 Erlangen, Germany

Mathematics, 2022, vol. 10, issue 5, 1-24

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.

Keywords: algebra; groups; magmas; secondary school; mathematics education (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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