ERIC Number: EJ1142048
Record Type: Journal
Publication Date: 2017-Jun
Abstractor: As Provided
Preservice Teachers' Use of Contrasting Cases in Mathematics Instruction
Schenke, Katerina; Richland, Lindsey E.
Instructional Science: An International Journal of the Learning Sciences, v45 n3 p311-329 Jun 2017
Drawing comparisons between students' alternative solution strategies to a single mathematics problem is a powerful yet challenging instructional practice. We examined 80 preservice teachers' when asked to design a short lesson when given a problem and two student solutions--one correct and one incorrect. These micro-teaching events were videotaped and coded, revealing that fewer than half of participants (43%) made any explicit comparison or contrasts between the two solution strategies. Those who did were still not likely to use additional support strategies to draw students' attention to key elements of the comparison. Further, correlations suggest that participants' mathematical content knowledge may be related to whether participants' showed contrasting cases but not to whether they used specific pedagogical cues to support those comparisons. While these micro-teaching events differ from the interactive constraints of a classroom, they reveal that participants did not immediately orient toward differing student solutions as a discussion opportunity, and that future instruction on contrasting cases must highlight the utility of this practice.
Descriptors: Preservice Teachers, Mathematics Instruction, Microteaching, Comparative Analysis, Problem Solving, Correlation, Pedagogical Content Knowledge
Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: email@example.com; Web site: http://www.springerlink.com
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: 0954222