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ERIC Number: ED489734
Record Type: Non-Journal
Publication Date: 2004-Jul
Pages: 8
Abstractor: Author
Reference Count: 7
ISBN: N/A
ISSN: N/A
Unjustified Assumptions Based on Diagrams in Geometry
Dvora, Tali; Dreyfus, Tommy
International Group for the Psychology of Mathematics Education, 28th, Bergen, Norway, July 14-18, 2004
We investigated unjustified assumptions made by students when proving geometric statements. Geometric statements can be presented with a diagram or without. Diagrams can be accurate or sketchy. Unjustified assumptions may originate in an accompanying diagram. We thus asked whether the way in which a statement is presented has an effect on unjustified assumptions. We also attempted to find out what motivates students to make unjustified assumptions. Data were collected by means of written questionnaires and individual interviews. The main findings were that among all incorrect answers, 72% were based on unjustified assumptions, and that students make unjustified assumptions with good reasons such as in order to remove obstacles. [For complete proceedings, see ED489632.]
International Group for the Psychology of Mathematics Education, 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Web site: http://igpme.org.
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: High Schools
Audience: Students
Language: English
Sponsor: N/A
Authoring Institution: N/A