Relational Equity and Mathematics Learning: Mutual Construction During Collaborative Problem Solving

We present an emerging interdisciplinary approach to the study of mathematics learning, which brings together strands from psychology and mathematics education. Our aim was to examine how students navigate the cognitive and social aspects of peer collaboration as they generate and adopt new strategi...

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Main Authors: José F. Gutiérrez, Sarah A. Brown, Martha W. Alibali
Format: Article
Language:English
Published: PsychOpen GOLD/ Leibniz Insitute for Psychology 2018-06-01
Series:Journal of Numerical Cognition
Subjects:
Online Access:http://jnc.psychopen.eu/article/view/91
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author José F. Gutiérrez
Sarah A. Brown
Martha W. Alibali
author_facet José F. Gutiérrez
Sarah A. Brown
Martha W. Alibali
author_sort José F. Gutiérrez
collection DOAJ
description We present an emerging interdisciplinary approach to the study of mathematics learning, which brings together strands from psychology and mathematics education. Our aim was to examine how students navigate the cognitive and social aspects of peer collaboration as they generate and adopt new strategies. We analyzed video data from a laboratory study involving pairs of elementary students working collaboratively to solve mathematical equivalence problems (e.g., 8 + 5 + 4 = 4 + ___). We adopted a qualitative micro-analytic approach that focused on multimodal action (i.e., verbal utterance, gesture, inscription production, body positioning, and eye gaze) to examine three cases. These cases illustrate the complex ways that students interacted in this particular context and, in some instances, attempted to teach one another. Our findings show how “relational equity” (Boaler, 2008) and mathematics knowledge were co-constructed differently in each case. We argue that a micro-analytic approach, complemented by a blending of theory from these two fields, reveals hidden aspects of the interaction that may help explain, for example, why some students generate or adopt correct strategies and others do not. As such, this interdisciplinary approach offers a rich account of the learning processes that occur in peer collaboration.
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spelling doaj.art-1c81319ac0b64ddabecc40a4b3b5efa82023-01-02T18:33:19ZengPsychOpen GOLD/ Leibniz Insitute for PsychologyJournal of Numerical Cognition2363-87612018-06-014115918710.5964/jnc.v4i1.91jnc.v4i1.91Relational Equity and Mathematics Learning: Mutual Construction During Collaborative Problem SolvingJosé F. Gutiérrez0Sarah A. Brown1Martha W. Alibali2Wisconsin Center for Education Research, University of Wisconsin, Madison, WI, USADepartment of Psychology, University of Wisconsin, Madison, WI, USADepartment of Psychology, University of Wisconsin, Madison, WI, USAWe present an emerging interdisciplinary approach to the study of mathematics learning, which brings together strands from psychology and mathematics education. Our aim was to examine how students navigate the cognitive and social aspects of peer collaboration as they generate and adopt new strategies. We analyzed video data from a laboratory study involving pairs of elementary students working collaboratively to solve mathematical equivalence problems (e.g., 8 + 5 + 4 = 4 + ___). We adopted a qualitative micro-analytic approach that focused on multimodal action (i.e., verbal utterance, gesture, inscription production, body positioning, and eye gaze) to examine three cases. These cases illustrate the complex ways that students interacted in this particular context and, in some instances, attempted to teach one another. Our findings show how “relational equity” (Boaler, 2008) and mathematics knowledge were co-constructed differently in each case. We argue that a micro-analytic approach, complemented by a blending of theory from these two fields, reveals hidden aspects of the interaction that may help explain, for example, why some students generate or adopt correct strategies and others do not. As such, this interdisciplinary approach offers a rich account of the learning processes that occur in peer collaboration.http://jnc.psychopen.eu/article/view/91cognitionmathematics learningmathematical equivalenceequal signrelational equityinteraction analysis
spellingShingle José F. Gutiérrez
Sarah A. Brown
Martha W. Alibali
Relational Equity and Mathematics Learning: Mutual Construction During Collaborative Problem Solving
Journal of Numerical Cognition
cognition
mathematics learning
mathematical equivalence
equal sign
relational equity
interaction analysis
title Relational Equity and Mathematics Learning: Mutual Construction During Collaborative Problem Solving
title_full Relational Equity and Mathematics Learning: Mutual Construction During Collaborative Problem Solving
title_fullStr Relational Equity and Mathematics Learning: Mutual Construction During Collaborative Problem Solving
title_full_unstemmed Relational Equity and Mathematics Learning: Mutual Construction During Collaborative Problem Solving
title_short Relational Equity and Mathematics Learning: Mutual Construction During Collaborative Problem Solving
title_sort relational equity and mathematics learning mutual construction during collaborative problem solving
topic cognition
mathematics learning
mathematical equivalence
equal sign
relational equity
interaction analysis
url http://jnc.psychopen.eu/article/view/91
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AT marthawalibali relationalequityandmathematicslearningmutualconstructionduringcollaborativeproblemsolving