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Redesigning task sequences to support instrumental genesis in the use of movable points and slider bars
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science.ORCID iD: 0000-0003-4553-0630
(English)Manuscript (preprint) (Other academic)
National Category
Didactics
Identifiers
URN: urn:nbn:se:kau:diva-38211OAI: oai:DiVA.org:kau-38211DiVA: diva2:861876
Available from: 2015-10-19 Created: 2015-10-19 Last updated: 2016-02-02Bibliographically 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. 107 p.
Series
Karlstad University Studies, ISSN 1403-8099 ; 50
Keyword
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: 2016-02-02Bibliographically approved

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