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Programming and angles: patterns of variation
Linnaeus University, Faculty of Technology, Department of Mathematics.
Södertörn University, Sweden.
Linnaeus University, Faculty of Technology, Department of Mathematics.
2019 (English)In: Proceedings of the 43rd Conference of the International Groupfor the Psychology of Mathematics Education: Pretoria, South Africa, 7 – 12 July 2019 / [ed] Mellony Graven, Hamsa Venkat, Anthony A Essien, Pamela Vale, 2019, Vol. 4, p. 81-81Conference paper, Oral presentation with published abstract (Refereed)
Abstract [en]

In several countries including Sweden programming is introduced to secondary students mainly as a part of the mathematics curriculum. “Scratch” is used as a tool inprogramming and this has become a common trend in many countries. However, teaching mathematics using “Scratch” is not appropriate for in-service teachers.

Several research findings show that angle, as a mathematical concept, is difficult to teach and learn (Mitchelmore & White, 2004). We conducted a study in which researchers worked with 32 in-service mathematics teachers in grades 7-9. Because angles are essential characteristics of two- and three-dimensional geometrical objects,the aim of this study was to give in-service teachers the opportunity to improve their experience of using “Scratch” in order to enhance students understanding of angles. Observation, tasks used, video samples and field notes were used as data collecting tools.

The data gathered were analysed in a qualitative way using concepts of the variation theory (Marton, 2015). The variation theory was also used to focus teachers’ attentionon aspects that were possible to discern by using “Scratch”. Angle is a geometric concept but it possesses properties that can be found in various other contexts. The variation theory of learning stems from the concept of phenomenography (e. g.,Marton, 2015). It emphasizes variation as a necessary condition for learners to be ableto discern new aspects of a subject of study.

Based on a preliminary analysis, we could discern three concepts of angle: (1) angle asa movement (in rotation or sweep), (2) angle as a geometric shape (a partitioning of space by two intersecting beams), and (3) angle as a unit for measure. There appears to be an alignment between in-service teachers using “Scratch” and their instructional practices that will be discussed in this presentation in detail. The use of patterns of variation in programming will also be presented.

Place, publisher, year, edition, pages
2019. Vol. 4, p. 81-81
Series
Proceedings of the International Groups for the Psychology of Mathematics Education, ISSN 0771-100X
Keywords [en]
programming, angles, variation theory, patterns of variation
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
URN: urn:nbn:se:lnu:diva-86248ISBN: 978-0-6398215-6-6 (print)ISBN: 978-0-6398215-7-3 (electronic)OAI: oai:DiVA.org:lnu-86248DiVA, id: diva2:1336002
Conference
Proceeding of the 43rd Conference of the International Group for the Psychology of Mathematics Education - Improving access to the power of mathematics, Pretoria, South Africa, 7 – 12 July 2019
Available from: 2019-07-08 Created: 2019-07-08 Last updated: 2019-08-30Bibliographically approved

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Olteanu, LucianOlteanu, Constanta

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Citation style
  • apa
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