Design principles of inquiry-oriented tasks in integral calculus

Autores: Houssein El Tourkey, Lochana Siriwardena, Yasanthi Kottegoda
Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 54, Nº. 9, 2023, págs. 1804-1818
Idioma: inglés
DOI: 10.1080/0020739X.2023.2257699
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Resumen
- Designing and implementing purposefully developed tasks have been linked to students’ understanding of mathematical topics. We report on design principles and intentions that guided the development of inquiry-oriented tasks. Through a qualitative analysis of the tasks, we identified seven themes that encapsulated these design intentions: Provide Review; Introduce New Content; Provide Guidance; Prompt Graphing and Visualisation; Prompt Generalisation; Foster Mathematical Creativity; and Prompt Reflection. In the discussion, we align these themes with existing literature and recognise an intersection between designing inquiry-oriented tasks, creativity-fostering tasks and reflective assignments. We additionally provide some recommendations for practitioners and report on students’ feedback on these tasks.