Prospective Secondary Mathematics Teachers’ Understanding and Cognitive Difficulties in Making Connections among Representations

Autor:	Bill Jacob, Kyunghee Moon, Yukari Okamoto, Mary E. Brenner
Rok vydání:	2013
Předmět:	Qualitative analysis Conic section General Mathematics Secondary mathematics ComputingMilieux_COMPUTERSANDEDUCATION Developmental and Educational Psychology Mathematics education Cognition Mathematics teacher education Algebraic expression Psychology Graph Education
Zdroj:	Mathematical Thinking and Learning. 15:201-227
ISSN:	1532-7833 1098-6065
Popis:	This study investigates prospective secondary teachers’ cognitive difficulties and mathematical ideas involved in making connections among representations. We implemented a three-week teaching unit to help prospective secondary mathematics teachers develop understanding of big ideas that are critical to formulating connections among representations, in the context of conic curves. Qualitative analysis of data showed that most undergraduate mathematics majors and minors in this study struggled with variation, the Cartesian Connection, and other affiliated ideas such as graph as a locus of points. Furthermore, they were unable to identify basic metric relations encoded in algebraic expressions such as the distance between points, which further compounded their difficulties in making connections among representations. We argue that mathematics teacher education needs more focus on these ideas so that their graduates can successfully teach these big ideas in their future instruction.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ac025c395857950f7ac53faf7b918f23 https://doi.org/10.1080/10986065.2013.794322 Zobrazit plný text záznamu