ERIC Number: EJ1370839
Record Type: Journal
Publication Date: 2022
Pages: 7
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: EISSN-1464-5211
Available Date: N/A
Developing the Meaning of Volume and Deriving the Volume of Hemispheres with Dynamic Geometry
Yeung, Wing-Leung; Ng, Oi-Lam
International Journal of Mathematical Education in Science and Technology, v53 n10 p2849-2855 2022
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.
Descriptors: Geometry, Mathematics Instruction, Teaching Methods, Algebra, Trigonometry, Thinking Skills, Comparative Analysis, Geometric Concepts, Concept Formation, Computer Software, Secondary School Students, Discussion (Teaching Technique), Foreign Countries, Computer Assisted Instruction
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Hong Kong
Grant or Contract Numbers: N/A
Author Affiliations: N/A