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Orchestration of mathematical discussions drawing on students’ computer-based work
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0003-2897-9188
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0003-4553-0630
2017 (English)In: ICT in mathematics education: the future and the realities: Proceedings of MADIF 10 The tenth research seminar of the Swedish Society for Research in Mathematics Education / [ed] Johan Häggström, Eva Norén, Jorryt van Bommel, Judy Sayers, Ola Helenius, Yvonne Liljekvist, Göteborg: Svensk förening för MatematikDidaktisk Forskning - SMDF, 2017, p. 77-87Conference paper, Published paper (Refereed)
Abstract [en]

Research points out the importance of following up students’ work on computerbasedtasks with whole-class discussions in which students play a central role.However, at the same time, research highlights the challenge for teachers in orchestratingsuch follow-up discussions. This paper examines whether an establishedmodel developed as guidance for teachers to orchestrate mathematical whole-classdiscussions (Stein, Engle, Smith & Hughes, 2008) could be useful in this educationalsetting. Students’ written responses to two different tasks are the main data used toexamine the model. The results indicate that the model has great potential to guidethese follow-up discussions

Place, publisher, year, edition, pages
Göteborg: Svensk förening för MatematikDidaktisk Forskning - SMDF, 2017. p. 77-87
Series
Skrifter från Svensk förening för matematikdidaktisk forskning, ISSN 1651-3274 ; 11
Keywords [en]
mathematics education, dynamic software, class discussion
National Category
Didactics
Research subject
Education
Identifiers
URN: urn:nbn:se:kau:diva-49429ISBN: 978-91-984024-0-7 (print)OAI: oai:DiVA.org:kau-49429DiVA, id: diva2:1098979
Conference
MADIF10 - The tenth research seminar of the Swedish Society for Research in Mathematics Education (SMDF), Karlstad 26-27 januari 2016
Available from: 2017-05-29 Created: 2017-05-29 Last updated: 2018-11-06Bibliographically approved
In thesis
1. Designing for the integration of dynamic software environments in the teaching of mathematics
Open this publication in new window or tab >>Designing for the integration of dynamic software environments in the teaching of mathematics
2015 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis concerns the challenge of integrating dynamic software environments into the teaching of mathematics. It investigates particular aspects of the design of tasks which employ this type of computer-based system, with a focus on improvement, both of the tasks themselves and of the design process through which they are developed and refined.

The thesis reports two research projects: a small initial one preceding a larger main project. The initial case study, involving two graduate students in mathematics, develops a task design model for geometrical locus problems. The main study constitutes the first iteration of a design-based study, conducted in collaboration with four upper-secondary school teachers and their classes. It seeks to identify task design characteristics that foster students’ mathematical reasoning and proficient use of software tools, and examines teachers’ organisation of ‘follow-up’ lessons.

The findings concern three particular aspects: features of tasks and task environment relevant to developing a specific plan of action for a lesson; orchestration of a particular task environment to support the instrumental genesis of specific dynamic software tools; how to follow up students’ work on computer-based tasks in a whole-class discussion.

Place, publisher, year, edition, pages
Karlstad: Karlstads universitet, 2015. p. 107
Series
Karlstad University Studies, ISSN 1403-8099 ; 50
Keywords
design research, dynamic mathematics software, intrumental orchestration, mathematics education, task design
National Category
Educational Sciences
Research subject
Mathematics
Identifiers
urn:nbn:se:kau:diva-38213 (URN)978-91-7063-669-1 (ISBN)
Public defence
2015-12-15, Eva Erikssonsalen, 21A 342, Karlstad University, Karlstad, 10:15 (English)
Opponent
Supervisors
Available from: 2015-11-24 Created: 2015-10-19 Last updated: 2017-11-29Bibliographically approved

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Skrifter från SMDF, nr. 11

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