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Title 
Vectors and translations in mathematics and physics 

Author  
Published in  A. Beckmann, V. Freiman & C. Michelsen. Proceedings of Macas 2015: International symposium of Mathematics and its Connections to the Arts and Sciences. Schwäbsich Gmünd (Germany): University of Education  28th – 30th May 2015  Hildesheim: Franzbecker. 2016  
Abstract  In mathematics, students learn about vectors and translation, in physics they model forces, speed, acceleration, etc. with vectors and study movements of translation. Do they make the connection between these concepts introduced in different disciplines or do they put things in separate boxes? In this paper we will start with some partial considerations on the history of vectors and we will give some references. Then we will show some examples of naïve illustrations of vectors from physics in mathematics textbooks. We will then present a nonconventional example and the difficulties it created for both mathematics and physics teachers. Finally we will develop an example of a possible collaboration between teachers of both disciplines in relation to movement of translation  
Keywords  Mathématisme — Physics — Vector — Translation — Mouvement — Epistemology  
Identifiers  ISBN: 978388120760  
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Research group  Didactique des mathématiques à Genève (DiMaGe)  
Citation (ISO format)  DORIER, JeanLuc. Vectors and translations in mathematics and physics. In: A. Beckmann, V. Freiman & C. Michelsen (Ed.). Proceedings of Macas 2015: International symposium of Mathematics and its Connections to the Arts and Sciences. Schwäbsich Gmünd (Germany): University of Education. Hildesheim : Franzbecker, 2016. https://archiveouverte.unige.ch/unige:86543 