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ERIC Number: EJ791528
Record Type: Journal
Publication Date: 2008-Mar
Pages: 24
Abstractor: Author
Reference Count: N/A
ISBN: N/A
ISSN: ISSN-1382-3892
Computational Construction as a Means to Coordinate Representations of Infinity
Sacristan, Ana Isabel; Noss, Richard
International Journal of Computers for Mathematical Learning, v13 n1 p47-70 Mar 2008
In this paper, we describe a design experiment aimed at helping students to explore and develop concepts of infinite processes and objects. Our approach is based on the design and development of a computational microworld, which afforded students the means to construct a range of representational models (symbolic, visual and numeric) of infinity-related objects (infinite sequences, in particular). We present episodes based on four students' activities, seeking to illustrate how the available tools mediated students' understandings of the infinite in rich ways, allowing them to discriminate subtle process-oriented features of infinite processes. We claim that the microworld supported students in the coordination of hitherto unconnected or conflicting intuitions concerning infinity, based on a constructive articulation of different representational forms we name as "representational moderation".
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools; Middle Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Mexico