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ERIC Number: EJ1018166
Record Type: Journal
Publication Date: 2013-Mar
Pages: 5
Abstractor: ERIC
ISSN: ISSN-0025-5769
Equivalence Relations across the Secondary School Curriculum
Berger, Lisa
Mathematics Teacher, v106 n7 p508-512 Mar 2013
Must two triangles with equal areas and equal perimeters also be congruent? This question was introduced in "Mathematics Teacher" ("MT")by Rosenberg, Spillane, and Wulf in their article "Heron Triangles and Moduli Spaces" (2008), which also described the authors' subsequent investigation of a particular moduli space of triangles. McCallum (2009) suggested that this was likely the only "MT" article to address a moduli space, a representation arising naturally across various branches of advanced mathematics. His comment, along with the original article, inspired this author to explore the prerequisite topics of equivalence relations and equivalence classes and their appearance in secondary school mathematics. In particular, the author describes an exploration of equivalence relations in the high school curriculum that builds explicit connections across various mathematical domains and provides teachers with a greater depth of understanding of the mathematics they teach.
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; Postsecondary Education; High Schools; Elementary Education; Secondary Education
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A