Developing the meaning of volume and deriving the volume of hemispheres with dynamic geometry
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Wing-Leung Yeung [1] ; Oi-Lam Ng [1]
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[1] Chinese University of Hong Kong
Chinese University of Hong Kong
RAE de Hong Kong (China)
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- Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 53, Nº. 10, 2022, págs. 2849-2855
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
In this paper, we introduce a technology-enhanced pedagogical sequence for supporting lower secondary school students’ sensemaking of the concept of volume in a non-procedural and nonformula-driven way. Specifically, we illustrate a novel approach of using dynamic geometric environment (DGE) to introduce the meaning of volume and then deriving the volume of a hemisphere with minimal algebra but simple trigonometry. This method aims to support students’ geometrical reasoning through comparing the volume of different three-dimensional shapes and analysing their cross sections two-dimensionally, thus drawing on the concept of area. We highlight the affordances of the designed DGE sketches for fostering a dynamic conception of volume.
