Peer reviewed
Download full textERIC Number: ED584598
Record Type: Non-Journal
Publication Date: 2013-Nov
Pages: 8
Abstractor: As Provided
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A Stochastic Modeling of a Student's Units Coordination Activity
Boyce, Steven
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 (35th, Chicago, IL, Nov 14-17, 2013)
In this proposal, I introduce a method for modeling the dynamics of a sixth-grade student's accommodation of his fractions scheme to include a disembedding operation (Steffe & Olive, 2010). I will describe a three-part approach consisting of a constructivist teaching experiment, retrospective analysis, and stochastic modeling of the student's activity across ecologies within the teaching experiment (cf. Steffe & Thompson, 2000). As disembedding requires coordination of two levels of units--a disembedded part and an unadulterated whole (Steffe, 2001)--the results also serve as an initial model for describing the dynamics of an individual's units coordinating within and across contexts. [For the complete proceedings, see ED584443.]
Descriptors: Grade 6, Fractions, Mathematics Instruction, Teaching Methods, Models, Number Concepts, Research Methodology, Concept Formation, Constructivism (Learning), Interviews, Mathematical Models, Probability
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: Speeches/Meeting Papers; Reports - Research
Education Level: Grade 6
Audience: N/A
Language: English
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