- Title
- Response to "Experimental approaches to theoretical thinking: artefacts and proofs"
- Creator
- Borwein, Jonathan M.; Osborn, Judy-anne
- Relation
- Proof and Proving in Mathematics Education: the 19th ICMI Study p. 138-143
- Relation
- New ICMI Study Series 15
- Publisher Link
- http://dx.doi.org/10.1007/978-94-007-2129-6
- Publisher
- Springer
- Resource Type
- book chapter
- Date
- 2012
- Description
- The material we review focuses on the teaching of proof, in the light of the empirical and deductive aspects of mathematics. There is emphasis on the role of technology, not just as a pragmatic tool but also as a shaper of concepts. Technology is taken to include ancient as well as modern tools with their uses and users. Examples, both from teaching studies and historical, are presented and analysed. Language is introduced enabling elucidation of mutual relations between tool-use, human reasoning and formal proof. The article concludes by attempting to situate the material in a more general psychological theory.
- Subject
- proof; mathematics; reasoning; teaching studies; education; role of technology
- Identifier
- http://hdl.handle.net/1959.13/936823
- Identifier
- uon:12416
- Identifier
- ISBN:9789400721289
- Language
- eng
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