ERIC Number: EJ1252956
Record Type: Journal
Publication Date: 2020
Pages: 18
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1947-7503
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Eighth-Grade Students' Use of Communal Criteria for Collaborative Proving
Campbell, Tye G.; King, Shande
Investigations in Mathematics Learning, v12 n2 p124-141 2020
This study explored how approximating the practice of mathematicians by communally negotiating the standards for proof mediates middle grade students' abilities to collaboratively construct mathematical arguments. Forty-seven eighth-grade students engaged in an instructional sequence wherein they, along with the instructors, negotiated communal criteria for proof and subsequently worked in small groups to collaboratively construct arguments which attempted to meet the communally-negotiated criteria. The findings revealed there was no significant correlation between the number of times a group appealed to communal criteria and the quality of their argument. However, the qualitative analysis revealed groups who created valid arguments utilized communal criteria in productive ways, while groups who created invalid arguments superficially engaged with communal criteria or exhibited fundamental misunderstandings of some criteria. These findings imply developing and utilizing communal criteria is a promising support for improving school-aged students' proving capacities, but further theoretical and empirical research is needed to determine how to develop communal criteria in ways that all students within a classroom community can meaningfully utilize the criteria to mediate their abilities to create arguments.
Descriptors: Grade 8, Mathematics Instruction, Persuasive Discourse, Teaching Methods, Cooperative Learning, Middle School Students, Mathematical Logic, Validity, Correlation, Problem Solving, Task Analysis, Algebra
Routledge. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Grade 8; Junior High Schools; Middle Schools; Secondary Education
Audience: N/A
Language: English
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