A hypothetical learning trajectory for the construction of trigonometric equations with infinite solutions
Castro, Teresa (Universitat Autònoma de Barcelona. Departament de Didàctica de la Matemàtica i de les Ciències Experimentals)
Cárcamo, Andrea (Universidad Austral de Chile)
Fortuny, Josep M. (Universitat Autònoma de Barcelona. Departament de Didàctica de la Matemàtica i de les Ciències Experimentals)

Date:	2025
Abstract:	In this research, we design and evaluate a hypothetical learning trajectory (HLT) for first-year university students of a Geometry course for the concept of trigonometric equations with infinite solutions. As the theoretical framework, we considered the instructional design heuristic of emergent models that guided our design of HLT and the interpretation of students' progress when we used HLT as a teaching tool. As a methodology, we used design-based research. The results provide evidence that HLT helped students understand the concept of trigonometric equations with infinite solutions. In particular, the results showed the students' progress from their model-of-solution set of trigonometric equations with finite solutions in bounded intervals toward a model-for-solution set of trigonometric equations with infinite solutions.
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Hypothetical learning trajectory ; Trigonometric equations ; Emergent models
Published in:	International Journal of Mathematical Education in Science and Technology, 2025 , ISSN 1464-5211

DOI: 10.1080/0020739X.2025.2487937

Available from: 2027-05-01

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Articles > Research articles
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