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ERIC Number: EJ1065090
Record Type: Journal
Publication Date: 2015-Jun
Pages: 14
Abstractor: As Provided
Reference Count: 49
ISSN: ISSN-1863-9690
Developing a Network of and for Geometric Reasoning
Mamolo, Ami; Ruttenberg-Rozen, Robyn; Whiteley, Walter
ZDM: The International Journal on Mathematics Education, v47 n3 p483-496 Jun 2015
In this article, we develop a theoretical model for restructuring mathematical tasks, usually considered advanced, with a network of spatial visual representations designed to support geometric reasoning for learners of disparate ages, stages, strengths, and preparation. Through our geometric reworking of the well-known "open box problem", we sought to enrich learners' conceptual networks for optimisation and rate of change, and to explore these concepts vertically across curricula for a variety of grades. We analyse a network of physical, geometric spatial visual representations that can support new inferences and key understandings, and that scaffold these advanced concepts so that they could be meaningfully addressed by learners of various ages, from elementary to university, and with diverse mathematical backgrounds.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Elementary Secondary Education; Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A