Developing argumentation skills in mathematics through computer-supported collaborative learning: the role of transactivity

Collaboration scripts and heuristic worked examples are effective means to scaffold university freshmen’s mathematical argumentation skills. Yet, which collaborative learning processes are responsible for these effects has remained unclear. Learners presumably will gain the most out of collaboration...

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Main Authors: Vogel, Freydis, Kollar, Ingo, Ufer, Stefan, Reichersdorfer, Elisabeth, Reiss, Kristina, Fischer, Frank
Format: Article
Published: Springer 2016
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Online Access:https://eprints.nottingham.ac.uk/52658/
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author Vogel, Freydis
Kollar, Ingo
Ufer, Stefan
Reichersdorfer, Elisabeth
Reiss, Kristina
Fischer, Frank
author_facet Vogel, Freydis
Kollar, Ingo
Ufer, Stefan
Reichersdorfer, Elisabeth
Reiss, Kristina
Fischer, Frank
author_sort Vogel, Freydis
building Nottingham Research Data Repository
collection Online Access
description Collaboration scripts and heuristic worked examples are effective means to scaffold university freshmen’s mathematical argumentation skills. Yet, which collaborative learning processes are responsible for these effects has remained unclear. Learners presumably will gain the most out of collaboration if the collaborators refer to each other’s contributions in a dialectic way (dialectic transactivity). Learners also may refer to each other’s contributions in a dialogic way (dialogic transactivity). Alternatively, learners may not refer to each other’s contributions at all, but still construct knowledge (constructive activities). This article investigates the extent to which constructive activities, dialogic transactivity, and dialectic transactivity generated by either the learner or the learning partner can explain the positive effects of collaboration scripts and heuristic worked examples on the learners’ disposition to use argumentation skills. We conducted a 2 × 2 experiment with the factors collaboration script and heuristic worked examples with N = 101 math teacher students. Results showed that the learners’ engagement in self-generated dialectic transactivity (i.e., responding to the learning partner’s contribution in an argumentative way by critiquing and/or integrating their learning partner’s contributions) mediated the effects of both scaffolds on their disposition to use argumentation skills, whereas partner-generated dialectic transactivity or any other measured collaborative learning activity did not. To support the disposition to use argumentation skills in mathematics, learning environments should thus be designed in a way to help learners display dialectic transactivity. Future research should investigate how learners might better benefit from the dialectic transactivity generated by their learning partners.
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spelling nottingham-526582020-05-04T18:08:40Z https://eprints.nottingham.ac.uk/52658/ Developing argumentation skills in mathematics through computer-supported collaborative learning: the role of transactivity Vogel, Freydis Kollar, Ingo Ufer, Stefan Reichersdorfer, Elisabeth Reiss, Kristina Fischer, Frank Collaboration scripts and heuristic worked examples are effective means to scaffold university freshmen’s mathematical argumentation skills. Yet, which collaborative learning processes are responsible for these effects has remained unclear. Learners presumably will gain the most out of collaboration if the collaborators refer to each other’s contributions in a dialectic way (dialectic transactivity). Learners also may refer to each other’s contributions in a dialogic way (dialogic transactivity). Alternatively, learners may not refer to each other’s contributions at all, but still construct knowledge (constructive activities). This article investigates the extent to which constructive activities, dialogic transactivity, and dialectic transactivity generated by either the learner or the learning partner can explain the positive effects of collaboration scripts and heuristic worked examples on the learners’ disposition to use argumentation skills. We conducted a 2 × 2 experiment with the factors collaboration script and heuristic worked examples with N = 101 math teacher students. Results showed that the learners’ engagement in self-generated dialectic transactivity (i.e., responding to the learning partner’s contribution in an argumentative way by critiquing and/or integrating their learning partner’s contributions) mediated the effects of both scaffolds on their disposition to use argumentation skills, whereas partner-generated dialectic transactivity or any other measured collaborative learning activity did not. To support the disposition to use argumentation skills in mathematics, learning environments should thus be designed in a way to help learners display dialectic transactivity. Future research should investigate how learners might better benefit from the dialectic transactivity generated by their learning partners. Springer 2016-10-01 Article PeerReviewed Vogel, Freydis, Kollar, Ingo, Ufer, Stefan, Reichersdorfer, Elisabeth, Reiss, Kristina and Fischer, Frank (2016) Developing argumentation skills in mathematics through computer-supported collaborative learning: the role of transactivity. Instructional Science, 44 (5). pp. 477-500. ISSN 0020-4277 Transactivity; Collaboration scripts: Heuristic worked examples; Argumentation; Mathematics https://link.springer.com/article/10.1007/s11251-016-9380-2 doi:10.1007/s11251-016-9380-2 doi:10.1007/s11251-016-9380-2
spellingShingle Transactivity; Collaboration scripts: Heuristic worked examples; Argumentation; Mathematics
Vogel, Freydis
Kollar, Ingo
Ufer, Stefan
Reichersdorfer, Elisabeth
Reiss, Kristina
Fischer, Frank
Developing argumentation skills in mathematics through computer-supported collaborative learning: the role of transactivity
title Developing argumentation skills in mathematics through computer-supported collaborative learning: the role of transactivity
title_full Developing argumentation skills in mathematics through computer-supported collaborative learning: the role of transactivity
title_fullStr Developing argumentation skills in mathematics through computer-supported collaborative learning: the role of transactivity
title_full_unstemmed Developing argumentation skills in mathematics through computer-supported collaborative learning: the role of transactivity
title_short Developing argumentation skills in mathematics through computer-supported collaborative learning: the role of transactivity
title_sort developing argumentation skills in mathematics through computer-supported collaborative learning: the role of transactivity
topic Transactivity; Collaboration scripts: Heuristic worked examples; Argumentation; Mathematics
url https://eprints.nottingham.ac.uk/52658/
https://eprints.nottingham.ac.uk/52658/
https://eprints.nottingham.ac.uk/52658/