A mathematician’s deliberation in reaching the formal world and students’ world views of the eigentheory

Autor:	Stewart, Sepideh, Epstein, Jonathan, Troup, Jonathan, Mcknight, David
Přispěvatelé:	Veldhuis, Michiel, Uffe Thomas Jankvist, Marja van den Heuvel-Panhuizen, Michiel Veldhuis, University of Oklahoma (OU), Utrecht University
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	eigentheory [SHS.EDU]Humanities and Social Sciences/Education [SHS.EDU] Humanities and Social Sciences/Education concept images [MATH] Mathematics [math] [MATH]Mathematics [math] reflections Three worlds of mathematical thinking
Zdroj:	CERME11 Eleventh Congress of the European Society for Research in Mathematics Education Eleventh Congress of the European Society for Research in Mathematics Education, Utrecht University, Feb 2019, Utrecht, Netherlands www.cerme11.org
Popis:	International audience; In this paper we analyzed a mathematician’s journals of 5-day teaching episodes on eigenvalues and eigenvectors in a first-year linear algebra course, as well as his students’ responses to a survey. We employed Tall’s (2013) three world model, to follow the mathematician’s and his students’ movements between the three worlds. The study revealed that despite the mathematician’s efforts in demonstrating a more holistic view of the concepts, many students found linear algebra very abstract and gravitated more toward symbolic thinking.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::ca5ba593b26b5de930363203ebce4098 https://hal.science/hal-02459875 Zobrazit plný text záznamu