The Role of Abstraction and Generalisation in the Development of Mathematical Knowledge [microform] / Michael C. Mitchelmore
- Bib ID:
- 5693931
- Format:
- Book and Microform
- Author:
- Mitchelmore, Michael C
- Online Version:
- https://eric.ed.gov/?id=ED466962
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- Description:
-
- [Washington, D.C.] : Distributed by ERIC Clearinghouse, 2002
- 12 p.
- Summary:
-
Although mathematics deals with generalizations relating abstract ideas, very little attention has been given in the mathematics education literature to the role of abstraction and generalization in the development of mathematical knowledge. In this paper, the meanings of "abstraction" and "generalization" are first explored by examining various definitions given by mathematics educators and others. These concepts are illustrated by reference to the author's research on children's understanding of angle concepts. The question of how mathematics teaching would be affected if more explicit attention were given to abstraction and generalization in the classroom is then considered. Finally, some recent experiments in "teaching for abstraction" are presented and discussed. (Contains 29 references.) (Author/MM)
- Notes:
-
- ERIC Note: Paper presented at the East Asia Regional Conference on Mathematics Education (EARCOME) (2nd) and the Southeast Asian Conference on Mathematics Education (SEACME) (9th, Singapore, May 27-31, 2002).
- May also be available online. Address as at 14/8/18: https://eric.ed.gov/
- Reproduction:
- Microfiche. [Washington D.C.]: ERIC Clearinghouse microfiches : positive.
- Subject:
- Available From:
- ERIC
- Copyright:
-
In Copyright
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Copyright status was determined using the following information:
- Material type:
- Literary Dramatic Musical
- Published status:
- Published
- Publication date:
- 2002
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