First steps in re-inventing Euler's method: A case for coordinating methodologies

Autor: Tabach, Michal, Rasmussen, Chris, Hershkowitz, Rina, Dreyfus, Tommy
Přispěvatelé: Vondrová, Naďa, Konrad Krainer, Naďa Vondrová, Tel Aviv University [Tel Aviv], San Diego State University (SDSU), The Weizmann Institute, Charles University in Prague, Faculty of Education, ERME
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: CERME 9-Ninth Congress of the European Society for Research in Mathematics Education
CERME 9-Ninth Congress of the European Society for Research in Mathematics Education, Charles University in Prague, Faculty of Education; ERME, Feb 2015, Prague, Czech Republic. pp.2249-2255
Popis: International audience; In this report, we highlight the epistemic actions and concomitant discursive shifts of four students as they reinvent the fundamental idea and technique in Euler's method. We use this case to further the theoretical and methodological coordination of the Abstraction in Context (AiC) approach, with its associated model commonly used for the analysis of processes of constructing knowledge by individuals, and small groups and the Documenting Collective Activity (DCA) approach, with its methodology commonly used for identifying norma-tive ways of reasoning with groups of students. In this report, we show students' first steps towards re-inventing Euler's method and explicate the theoretical and meth-odological commonalities of AiC and DCA.
Databáze: OpenAIRE