Peer reviewed
Download full textERIC Number: ED585994
Record Type: Non-Journal
Publication Date: 2011-Oct
Pages: 8
Abstractor: As Provided
ISBN: N/A
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Students' Combinatorial Reasoning: The Multiplication of Binomials
Tillema, Erik
North American Chapter of the International Group for the Psychology of Mathematics Education, Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (33rd, Reno, NV, Oct 20-23, 2011)
Three clinical interviews were conducted with each of 15 sixth grade students to test conjectures about the relationship between their level of multiplicative reasoning and their solution of combinatorics problems that could involve single and multi-digit multiplication. The problems that involved multi-digit multiplication were designed with the intent of investigating whether students engaged in binomial multiplication. The conjectures about the relationship between students' multiplicative reasoning and their solution of combinatorics problems that could involve multi-digit multiplication were refined as a result of students' problem solving activity: Students who had not constructed the most advanced multiplicative concept were able to engage in a form of binomial multiplication. [For the complete proceedings, see ED585874.]
Descriptors: Interviews, Grade 6, Mathematical Logic, Multiplication, Problem Solving, Mathematical Concepts, Concept Formation, Urban Schools
North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: Grade 6
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Language: English
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