The Magic of the Number Three: Three Explanatory Proofs in Abstract Algebra
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DOI: 10.1080/10511970.2019.1629136
Abstract: When first learning how to write mathematical proofs, it is often easier for students to work with statements using the universal quantifier. Results that single out special cases might initially come across as more puzzling… read more here.
Keywords: number three; proofs; explanatory proofs; abstract algebra ... See more keywords
Teaching Abstract Algebra Concretely via Embodiment
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DOI: 10.1080/10511970.2024.2310235
Abstract: ABSTRACT We describe how an instructor integrated embodiment to teach the Fundamental Homomorphism Theorem (FHT) and preliminary concepts in an undergraduate abstract algebra course. The instructor’s use of embodiment reduced levels of abstraction for formal… read more here.
Keywords: teaching abstract; algebra concretely; concretely via; algebra ... See more keywords
Unveiling the complexities of ‘Abstract Algebra’ in University Mathematics Education (UME): fostering ‘Conceptualization and Understanding’ through advanced pedagogical approaches
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DOI: 10.1080/2331186x.2024.2355400
Abstract: Abstract This scholarly inquiry critically examines the pedagogical aspects pertaining to the instruction and acquisition of Abstract Algebra within the realm of University Mathematics Education (UME). Drawing upon multiple lenses, including epistemological, cognitive, phenomenological, and… read more here.
Keywords: mathematics education; algebra; university mathematics; mathematics ... See more keywords