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Assessment of university students’ understanding of abstract binary operations

Research output: Journal contributions › Journal articles › Research › peer-review

Authors

This paper presents the results of a study on the use of interactive online tasks to
assess students’ conceptual understanding of abstract binary operations in a firstyear linear algebra course. The assessment consists of recognition, identification and production tasks and uses verbal, graphic and symbolic representations of binary operations in numerous point set contexts. The aim of the study is to directly assess the students’ understanding of binary operations and – more indirectly – to identify different profiles for the students’ procedural and conceptual knowledge levels. A latent class analysis revealed different levels in students’ conceptual understanding. Implications will be drawn for teaching abstract binary operations – and other similar concepts. Finally, some suggestions about conceptual qualifications for mathematics teacher education will be discussed.
Original languageEnglish
JournalNordic Studies in Mathematics Education
Volume15
Issue number4
Pages (from-to)25-40
Number of pages16
ISSN1104-2176
Publication statusPublished - 2010
Externally publishedYes

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Adaptive learning support as a key element of innovative teaching in Germany

Lemmrich, S., Ehmke, T. & Reusser, K., 29.05.2025, Innovative Teaching and Classroom Processes: Research Perspectives from Germany and China. Ehmke, T. & Chi-Kin Lee, J. (eds.). Taylor and Francis Inc., p. 13-22 10 p.

Research output: Contributions to collected editions/works › Chapter › peer-review

Effects of linguistic demands of reality-based mathematical tasks: discrepancy between teachers' expectations and students' performance

Ehmke, T., Leiss, D. & Heine, L., 10.06.2025, In: Frontiers in Education. 10, 13 p., 1528806.

Research output: Journal contributions › Journal articles › Research › peer-review

Enhancing pre-service teachers' well-being during long-term internships: The roles of self-efficacy, mentoring, and task-related sense of coherence

Homann, H.-S., Beckmann, T. & Ehmke, T., 07.02.2025, In: International Journal of Education and Practice. 13, 2, p. 566-586 21 p.

Research output: Journal contributions › Journal articles › Research › peer-review

Exploring pre- and in-service teachers’ (non-)critical cultural and multilingual awareness and responsiveness in classroom situations through voice-recorded video-based assessment

Kardel, L., Ehmke, T. & Lemmrich, S., 01.04.2025, In: Teaching and Teacher Education. 157, 14 p., 104962.

Research output: Journal contributions › Journal articles › Research › peer-review

German and Chinese perspectives on innovative teaching and classroom processes: An introduction

Ehmke, T. & Lee, J. C. K., 29.05.2025, Innovative Teaching and Classroom Processes: Research Perspectives from Germany and China. Ehmke, T. & Chi-Kin Lee, J. (eds.). 1 ed. Taylor and Francis Inc., p. 1-9 9 p.

Research output: Contributions to collected editions/works › Chapter › peer-review

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