Introducing an old calculating instrument in a new technologies environment: a praxeological analysis of students' tasks using different registers

22 Dec 2017  ·  Poisard Caroline CREAD EA 3875, ESPE Bretagne ·

The Chinese abacus is the resource presented in this paper, to teach and learn number sense and place-value system at primary level. The Chinese abacus can be material, virtual (software) or drawn on a worksheet... We present three tasks and analyse them in term of techniques and relative knowledge. We show how these tasks can be solved by students in different registers (material, software, paper-and-pencil, fingers, oral) which is important for both students' understanding and teachers' activity. KEYWORDS Material and virtual resources, praxeology, task, technique, technology, register, number sense, place-value system, Chinese abacus. R{\'E}SUM{\'E} Le boulier chinois est la ressource pr{\'e}sent{\'e}e dans cet article, pour enseigner et apprendre la construction du nombre et le syst{\`e}me de num{\'e}ration d{\'e}cimal {\`a} l'{\'e}cole. Le boulier chinois peut {\^e}tre mat{\'e}riel, virtuel (logiciel) ou dessin{\'e} sur une feuille. Nous pr{\'e}sentons trois t{\^a}ches et les analysons en terme de techniques et connaissances sous-jacentes. Nous montrons comment ces t{\^a}ches peuvent {\^e}tre r{\'e}solues par des {\'e}l{\`e}ves dans diff{\'e}rents registres (mat{\'e}riel, logiciel, papier-crayon, mains, oral) ce qui est important pour la compr{\'e}hension des {\'e}l{\`e}ves et {\'e}galement pour l'activit{\'e} des professeurs. read more

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