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ERIC Number: EJ1469493
Record Type: Journal
Publication Date: 2025
Pages: 9
Abstractor: ERIC
ISBN: N/A
ISSN: ISSN-0025-5769
EISSN: EISSN-2330-0582
Available Date: 0000-00-00
From Rules That Expire to Deeper Mathematical Thinking
Karen S. Karp; Sarah B. Bush; Barbara J. Dougherty
Mathematics Teacher: Learning and Teaching PK-12, v118 n4 p256-264 2025
Even though there is a great temptation as teachers to share what is known, many are aware of an idea called "rules that expire" (RTE) and have realized the importance of avoiding them. There is evidence that students need to understand mathematical concepts and that merely presenting rules to carry out in a procedural and disconnected way is not effective. This article considers the idea that perhaps there is an important shift from teaching in an "arithmetic-centric" way to focusing instead on deeper mathematical thinking. The authors suggest the path forward should be starting with RTEs and seeking antidotes for them by having students use multiple representations and build generalizations. This can give students the tools to use when they need to 'see' models to understand a problem.
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: publicationsdept@nctm.org; Web site: https://pubs.nctm.org/
Publication Type: Journal Articles; Reports - Evaluative
Education Level: Elementary Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A