Knowledge Building and Mathematics: Shifting the Responsibility for Knowledge Advancement and Engagement

Three classrooms of Grade 4 students from different schools and diverse backgrounds collaborated in early algebra research to solve a series of linear and quadratic generalizing problems. Results revealed that high- and low-achieving students were able to solve problems of recognized difficulty. We...

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Main Authors: Joan Moss, Ruth Beatty
Format: Article
Language:English
Published: The Canadian Network for Innovation in Education (CNIE) 2010-12-01
Series:Canadian Journal of Learning and Technology
Online Access:http://www.cjlt.ca/index.php/cjlt/article/view/26368
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author Joan Moss
Ruth Beatty
author_facet Joan Moss
Ruth Beatty
author_sort Joan Moss
collection DOAJ
description Three classrooms of Grade 4 students from different schools and diverse backgrounds collaborated in early algebra research to solve a series of linear and quadratic generalizing problems. Results revealed that high- and low-achieving students were able to solve problems of recognized difficulty. We discuss Knowledge Building principles and practices that fostered deep understanding and broad participation. Students used the online Knowledge Building environment Knowledge Forum® to conduct their work and we illustrate how Knowledge Forum supported a Knowledge Building culture for mathematical learning and problem solving. Analyses of participation patterns and note content revealed practices consistent with Knowledge Building principles, specifically democratization of knowledge, with students at all achievement levels participating, and epistemic agency, with students providing evidence and justification for conjectures and generating multiple solutions to challenging problems.
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spelling doaj.art-3bff09b3d0ba499ab165888534684ce72022-12-22T02:44:12ZengThe Canadian Network for Innovation in Education (CNIE)Canadian Journal of Learning and Technology1499-66771499-66852010-12-0136110.21432/T24G6B17969Knowledge Building and Mathematics: Shifting the Responsibility for Knowledge Advancement and EngagementJoan Moss0Ruth Beatty1University of TorontoLakehead UniversityThree classrooms of Grade 4 students from different schools and diverse backgrounds collaborated in early algebra research to solve a series of linear and quadratic generalizing problems. Results revealed that high- and low-achieving students were able to solve problems of recognized difficulty. We discuss Knowledge Building principles and practices that fostered deep understanding and broad participation. Students used the online Knowledge Building environment Knowledge Forum® to conduct their work and we illustrate how Knowledge Forum supported a Knowledge Building culture for mathematical learning and problem solving. Analyses of participation patterns and note content revealed practices consistent with Knowledge Building principles, specifically democratization of knowledge, with students at all achievement levels participating, and epistemic agency, with students providing evidence and justification for conjectures and generating multiple solutions to challenging problems.http://www.cjlt.ca/index.php/cjlt/article/view/26368
spellingShingle Joan Moss
Ruth Beatty
Knowledge Building and Mathematics: Shifting the Responsibility for Knowledge Advancement and Engagement
Canadian Journal of Learning and Technology
title Knowledge Building and Mathematics: Shifting the Responsibility for Knowledge Advancement and Engagement
title_full Knowledge Building and Mathematics: Shifting the Responsibility for Knowledge Advancement and Engagement
title_fullStr Knowledge Building and Mathematics: Shifting the Responsibility for Knowledge Advancement and Engagement
title_full_unstemmed Knowledge Building and Mathematics: Shifting the Responsibility for Knowledge Advancement and Engagement
title_short Knowledge Building and Mathematics: Shifting the Responsibility for Knowledge Advancement and Engagement
title_sort knowledge building and mathematics shifting the responsibility for knowledge advancement and engagement
url http://www.cjlt.ca/index.php/cjlt/article/view/26368
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