NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ1012245
Record Type: Journal
Publication Date: 2013
Pages: 11
Abstractor: As Provided
Reference Count: 11
ISSN: ISSN-1051-1970
Classroom Activities for Introducing Equivalence Relations
Brandt, Jim
PRIMUS, v23 n2 p150-160 2013
Equivalence relations and partitions are two interconnected ideas that play important roles in advanced mathematics. While students encounter the informal notion of equivalence in many courses, the formal definition of an equivalence relation is typically introduced in a junior level transition-to-proof course. This paper reports the results of a classroom teaching experiment comparing the effectiveness of traditional lecture versus in-class group activities in introducing equivalence relations. Student understanding was assessed using task-based interviews outside of class. Students involved in group activities made a stronger connection between equivalence relations and partitions. Furthermore, they were more flexible and successful in proving or disproving that a given relation formed an equivalence relation. (Contains 3 figures.)
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 - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A