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Developing the meaning of volume and deriving the volume of hemispheres with dynamic geometry.
- Source :
-
International Journal of Mathematical Education in Science & Technology . Sep2022, Vol. 53 Issue 10, p2849-2855. 7p. - Publication Year :
- 2022
-
Abstract
- In this paper, we introduce a technology-enhanced pedagogical sequence for supporting lower secondary school students' sense-making of the concept of volume in a non-procedural and non-formula-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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GEOMETRY
*ALGEBRA
*TRIGONOMETRY
*HIGHER education
*TEENAGERS
Subjects
Details
- Language :
- English
- ISSN :
- 0020739X
- Volume :
- 53
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematical Education in Science & Technology
- Publication Type :
- Academic Journal
- Accession number :
- 160241493
- Full Text :
- https://doi.org/10.1080/0020739X.2021.1949058