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Teachers’ didactical intention and instrumental orchestrations for ‘follow-up’ lessons
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-38212OAI: oai:DiVA.org:kau-38212DiVA: diva2:861882
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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