Towards Describing Student Learning of Abstract Algebra: Insights into Learners’ Cognitive Processes from an Acceptance Survey
Veith JM, Bitzenbauer P, Girnat B (2022)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2022
Journal
Book Volume: 10
Pages Range: 1138
Article Number: 1138
Journal Issue: 7
URI: https://www.mdpi.com/2227-7390/10/7/1138
DOI: 10.3390/math10071138
Open Access Link: https://www.mdpi.com/2227-7390/10/7/1138
Abstract
In an earlier contribution to Mathematics, we presented a new teaching concept for abstract algebra in secondary school mathematics, and we discussed findings from mathematics education research indicating that our concept could be used as a promising resource to foster students’ algebraic thinking. In accordance with the Design-Based Research framework, the developed teaching concept is now being revised in several iteration steps and optimised towards student learning. This article reports on the results of the formative assessment of our new teaching concept in the laboratory setting with N=9" role="presentation" style="max-height: none; display: inline; line-height: normal; font-size: 13.2px; text-align: left; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border-width: 0px; border-style: initial; position: relative;">N=9 individual learners leveraging a research method from science education: The acceptance survey. The results of our study indicate that the instructional elements within our new teaching concept were well accepted by the students, but potential learning difficulties were also revealed. On the one hand, we discuss how the insights gained in learners’ cognitive processes when learning about abstract algebra with our new teaching concept can help to refine our teaching–learning sequence in the sense of Design-Based Research. On the other hand, our results may serve as a fruitful starting point for more in-depth theoretical characterization of secondary school students’ learning progression in abstract algebra.
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Germany (DE)How to cite
APA:
Veith, J.M., Bitzenbauer, P., & Girnat, B. (2022). Towards Describing Student Learning of Abstract Algebra: Insights into Learners’ Cognitive Processes from an Acceptance Survey. Mathematics, 10(7), 1138. https://dx.doi.org/10.3390/math10071138
MLA:
Veith, Joaquin M., Philipp Bitzenbauer, and Boris Girnat. "Towards Describing Student Learning of Abstract Algebra: Insights into Learners’ Cognitive Processes from an Acceptance Survey." Mathematics 10.7 (2022): 1138.
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