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10 juillet 2023
- handle: 10670/1.ug5lf6
- isbn: 978-963-7031-04-5
- hal: hal-04419239
info:eu-repo/semantics/OpenAccess
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Maximilian Büttner et al., « The role of representations in developing a conceptual understanding of trigonometry », HAL-SHS : sciences de l'éducation, ID : 10670/1.ug5lf6
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The paper presents first results of the first cycle of a design research project on exploring and developing a learning environment that aims to provide learning opportunities for a conceptual understanding of trigonometry. Following Duval’s theory of registers, learning processes are investigated regarding representational transformations to understand the constitution of individual mathematical objects. Right triangle representations from the literature and German textbooks are investigated that reduce complexity and should therefore support learning processes from a theoretical perspective. With the help of a newly developed analysis tool, the importance of these representations in a learning process is revealed.