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ERIC Number: EJ1100992
Record Type: Journal
Publication Date: 2016
Pages: 12
Abstractor: As Provided
ISSN: ISSN-0020-739X
The Definition of the Scalar Product: An Analysis and Critique of a Classroom Episode
Foster, Colin; de Villiers, Michael
International Journal of Mathematical Education in Science and Technology, v47 n5 p750-761 2016
In this paper, we present, analyse and critique an episode from a secondary school lesson involving an introduction to the definition of the scalar product. Although the teacher attempted to be explicit about the difference between a definition and a theorem, emphasizing that a definition was just an arbitrary assumption, a student rejected the teacher's definition in favour of his own alternative. With reference to this particular case, we seek to explore some ways in which teachers can introduce mathematical definitions to students so as to support, rather than attempt to circumvent, their mathematical sense making. In this regard, we believe that it is important to develop learning opportunities for students which help them to gain some appreciation of important structural and historical reasons that underpin the definitional choices made.
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Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: United Kingdom
Grant or Contract Numbers: N/A