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ERIC Number: EJ951218
Record Type: Journal
Publication Date: 2012-Mar
Pages: 13
Abstractor: As Provided
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0732-3123
An Exploratory Framework for Handling the Complexity of Mathematical Problem Posing in Small Groups
Kontorovich, Igor; Koichu, Boris; Leikin, Roza; Berman, Avi
Journal of Mathematical Behavior, v31 n1 p149-161 Mar 2012
The paper introduces an exploratory framework for handling the complexity of students' mathematical problem posing in small groups. The framework integrates four facets known from past research: task organization, students' knowledge base, problem-posing heuristics and schemes, and group dynamics and interactions. In addition, it contains a new facet, individual considerations of aptness, which accounts for the posers' comprehensions of implicit requirements of a problem-posing task and reflects their assumptions about the relative importance of these requirements. The framework is first argued theoretically. The framework at work is illustrated by its application to a situation, in which two groups of high-school students with similar background were given the same problem-posing task, but acted very differently. The novelty and usefulness of the framework is attributed to its three main features: it supports fine-grained analysis of directly observed problem-posing processes, it has a confluence nature, it attempts to account for hidden mechanisms involved in students' decision making while posing problems. (Contains 2 figures.)
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Publication Type: Journal Articles; Reports - Research
Education Level: High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A