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ERIC Number: ED489590
Record Type: Non-Journal
Publication Date: 2004-Jul
Pages: 8
Abstractor: Author
Reflective Symmetry in Construction and Proving
Miyakawa, Takeshi
International Group for the Psychology of Mathematics Education, 28th, Bergen, Norway, July 14-18, 2004
The aim of this research is to advance understanding of how mathematical knowledge functions in the proving in geometry. We focus on the rules whose mobilization is due rather to the mathematical knowledge at stake than to the proof. We observed students who are asked to solve construction problem and proving problem. The problems require to mobilize the "same" rule from the theoretical point of view. The first result is that even if the students can construct correctly a symmetric and are conscious of the necessity of perpendicular and equal distance, it doesn't mean that they can use the rule appropriate in proving. [For complete proceedings, see ED489538.]
International Group for the Psychology of Mathematics Education, 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Web site:
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: Grade 6; Grade 8; Grade 9
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A