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ERIC Number: ED501155
Record Type: Non-Journal
Publication Date: 2003-Jul
Pages: 8
Abstractor: Author
Teaching Angles by Abstraction from Physical Activities with Concrete Materials
White, Paul; Mitchelmore, Michael
International Group for the Psychology of Mathematics Education, Paper presented at the 27th International Group for the Psychology of Mathematics Education Conference Held Jointly with the 25th PME-NA Conference (Honolulu, HI, Jul 13-18, 2003), v4 p403-410
An angles teaching sequence was designed, in which students were guided to abstract a general concept from physical activities with concrete materials. The three design principles used were familiarity, similarity recognition, and reification. The resulting teaching sequence was tested in a field study involving 25 teachers of Grades 3-4. The data collected demonstrate the significance of the three design principles, and the results from pre- and post-assessment interviews provide evidence for the overall effectiveness of the lesson sequence. Also earlier findings that angle is a multifaceted concept which is difficult to learn are supported. (Contains 3 figures.) [For complete proceedings, see ED500860.]
International Group for the Psychology of Mathematics Education. 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Tel: +27-21-715-3559; Fax: +27-88-021-715-3559; e-mail:; Web site:
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: Elementary Education; Grade 3; Grade 4
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A