NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ836061
Record Type: Journal
Publication Date: 2009-Apr
Pages: 9
Abstractor: ERIC
Reference Count: 6
ISSN: ISSN-1072-0839
Burning the Candle at Just One End
Lim, Kien H.
Mathematics Teaching in the Middle School, v14 n8 p492-500 Apr 2009
To deeply understand proportional reasoning, students must be able to differentiate proportional situations from nonproportional situations. Unfortunately, the emphasis on the use of proportional strategies in middle-grades mathematics has led students to develop a disposition to associate certain characteristics of problem formulation with the use of proportional strategies. The objective of this article is to promote the use of nonproportional situations to emphasize invariance while students are learning to reason proportionally. This article is divided into four segments: (1) Missing-value problems, to highlight four types of invariance; (2) Preservice teachers' responses to two of these problems, to illustrate their depth of understanding of proportion; (3) Activities that foster algebraic reasoning; and (4) Pedagogical recommendations. (Contains 9 figures.)
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education; Middle Schools
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A