The Didactical Contract Surrounding CAS when Changing Teachers in the Classroom

The article discusses three empirical examples of Computer Algebra System (CAS) use in Danish upper secondary school mathematics class with a recent change of teacher. All examples lead to didactical problems surrounding the situation and unclear expectations between teacher and students, involving...

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Main Authors: Uffe Thomas Jankvist, Morten Misfeldt, Anders Marcussen
Format: Article
Language:English
Published: Hipatia Press 2016-10-01
Series:REDIMAT
Online Access:https://hipatiapress.com/hpjournals/index.php/redimat/article/view/2013
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author Uffe Thomas Jankvist
Morten Misfeldt
Anders Marcussen
author_facet Uffe Thomas Jankvist
Morten Misfeldt
Anders Marcussen
author_sort Uffe Thomas Jankvist
collection DOAJ
description The article discusses three empirical examples of Computer Algebra System (CAS) use in Danish upper secondary school mathematics class with a recent change of teacher. All examples lead to didactical problems surrounding the situation and unclear expectations between teacher and students, involving loss of students’ mathematical skills and confidence, loss of global mathematical perspective, and the students losing sight of the mathematical objects in question. The article is the result of collaboration between two mathematics education researchers and an upper secondary school mathematics teacher, who experienced severe difficulties when taking over a class from another teacher. CAS was experienced as a crucial part of and reason for these difficulties. As a means for investigating the potential reasons behind the difficulties, a selection of constructs from the Theory of Didactical Situations (TDS) is applied. In particular, it is observed that unclear contractual relations about the role of CAS bring with them misguided winning strategies and metacognitive shifts, eventually causing the students to ‘lose the game’.
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spelling doaj.art-9f8c7ef998ca4b4eb44a94d7d74120112023-02-12T12:55:04ZengHipatia PressREDIMAT2014-36212016-10-015310.17583/redimat.2016.2013The Didactical Contract Surrounding CAS when Changing Teachers in the ClassroomUffe Thomas Jankvist0Morten Misfeldt1Anders Marcussen2Aarhus UniversityAalborg UniversityFalkornergaardens GymnasiumThe article discusses three empirical examples of Computer Algebra System (CAS) use in Danish upper secondary school mathematics class with a recent change of teacher. All examples lead to didactical problems surrounding the situation and unclear expectations between teacher and students, involving loss of students’ mathematical skills and confidence, loss of global mathematical perspective, and the students losing sight of the mathematical objects in question. The article is the result of collaboration between two mathematics education researchers and an upper secondary school mathematics teacher, who experienced severe difficulties when taking over a class from another teacher. CAS was experienced as a crucial part of and reason for these difficulties. As a means for investigating the potential reasons behind the difficulties, a selection of constructs from the Theory of Didactical Situations (TDS) is applied. In particular, it is observed that unclear contractual relations about the role of CAS bring with them misguided winning strategies and metacognitive shifts, eventually causing the students to ‘lose the game’.https://hipatiapress.com/hpjournals/index.php/redimat/article/view/2013
spellingShingle Uffe Thomas Jankvist
Morten Misfeldt
Anders Marcussen
The Didactical Contract Surrounding CAS when Changing Teachers in the Classroom
REDIMAT
title The Didactical Contract Surrounding CAS when Changing Teachers in the Classroom
title_full The Didactical Contract Surrounding CAS when Changing Teachers in the Classroom
title_fullStr The Didactical Contract Surrounding CAS when Changing Teachers in the Classroom
title_full_unstemmed The Didactical Contract Surrounding CAS when Changing Teachers in the Classroom
title_short The Didactical Contract Surrounding CAS when Changing Teachers in the Classroom
title_sort didactical contract surrounding cas when changing teachers in the classroom
url https://hipatiapress.com/hpjournals/index.php/redimat/article/view/2013
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