NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ892706
Record Type: Journal
Publication Date: 2010
Pages: 22
Abstractor: As Provided
Reference Count: 43
ISSN: ISSN-1098-6065
Teaching for Abstraction: A Model
White, Paul; Mitchelmore, Michael C.
Mathematical Thinking and Learning: An International Journal, v12 n3 p205-226 2010
This article outlines a theoretical model for teaching elementary mathematical concepts that we have developed over the past 10 years. We begin with general ideas about the abstraction process and differentiate between "abstract-general" and "abstract-apart" concepts. A 4-phase model of teaching, called Teaching for Abstraction, is then proposed that is explicitly designed to promote abstract-general learning. Studies investigating the model with 4 different topics (angles, decimals, percentages, and ratios) are reported, and the 4 phases are further elucidated. The article concludes with a discussion of the effectiveness of the model and its applicability to other mathematical concepts. (Contains 2 tables and 7 figures.)
Routledge. Available from: Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Elementary Education
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A