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ERIC Number: EJ943277
Record Type: Journal
Publication Date: 2011-Dec
Pages: 13
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0732-3123
The Structuring of Personal Example Spaces
Sinclair, Nathalie; Watson, Anne; Zazkis, Rina; Mason, John
Journal of Mathematical Behavior, v30 n4 p291-303 Dec 2011
This paper elaborates the notion of a personal example space as the set of mathematical objects and construction techniques that a learner has access to as examples of a concept while working on a given task. This is different from the conventional space of examples that is represented by the worked examples and exercises in textbooks. We refer to three studies spanning the age range of learners, from school-age learners to pre-service teachers learning maths and professional mathematicians. Their constructions of examples are used as evidence of their personal example spaces. From these, we identify characteristics of such spaces that provide insight into learning mathematics. This perspective informs teaching by giving access to how personal knowledge is structured and what might enhance that structure. (Contains 2 tables and 5 figures.)
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Publication Type: Journal Articles; Reports - Research
Education Level: Adult Education; Elementary Secondary Education; Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A