Peer reviewed
Download full textERIC Number: ED584914
Record Type: Non-Journal
Publication Date: 2012-Nov
Pages: 8
Abstractor: As Provided
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Pre-Fractional Middle School Students' Algebraic Reasoning
Hackenberg, Amy J.; Lee, Mi Yeon
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 (34th, Kalamazoo, MI, Nov 1-4, 2012)
To understand relationships between students' quantitative reasoning with fractions and their algebraic reasoning, a clinical interview study was conducted with 18 middle and high school students. Six students with each of 3 different multiplicative concepts participated. This paper reports on the 6 students with the most basic multiplicative concept, who were also pre-fractional in that they had yet to construct the first genuine fraction scheme. These students' emerging iterating operations facilitated their algebraic activity, but the lack of a disembedding operation was a significant constraint in developing algebraic equations and expressions. [For the complete proceedings, see ED584829.]
Descriptors: Middle School Students, Mathematics Instruction, Logical Thinking, Fractions, Algebra, High School Students, Multiplication, Grade 7, Grade 8, Grade 10, Observation, Semi Structured Interviews, Equations (Mathematics), Generalization, Problem Solving
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: Middle Schools
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Language: English
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