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ERIC Number: EJ1143452
Record Type: Journal
Publication Date: 2017-Jul
Pages: 16
Abstractor: As Provided
ISSN: ISSN-0013-1954
Designing Opportunities to Learn Mathematics Theory-Building Practices
Bass, Hyman
Educational Studies in Mathematics, v95 n3 p229-244 Jul 2017
Mathematicians commonly distinguish two modes of work in the discipline: "Problem solving," and "theory building." Mathematics education offers many opportunities to learn problem solving. This paper explores the possibility, and value, of designing instructional activities that provide supported opportunities for students to learn mathematics theory-building practices. It begins by providing a definition of these theory-building practices on the basis of which to formulate principles for the design of such instructional activities. The paper offers theoretical arguments that theory-building practices serve not only the synthesizing role that they play in disciplinary mathematics, but they also have the potential to enrich learners' reasoning powers and enhance their problem solving skills. Examples of problem sets designed for this purpose are provided and analyzed.
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A