A Theoretical Framework for the Function of Generalization in Learning Mathematics [Konferenzbericht] Paper presented at the Joint Meeting of the International Group for the Psychology of Mathematics Education (PME) (38th) and the North American Chapter of the Psychology of Mathematics Education (PME-NA) (36th, Vancouver, Canada, Jul 15-20, 2014).

Autor/inn/en	Hayata, Toru; Koyama, Masataka
Titel	A Theoretical Framework for the Function of Generalization in Learning Mathematics [Konferenzbericht] Paper presented at the Joint Meeting of the International Group for the Psychology of Mathematics Education (PME) (38th) and the North American Chapter of the Psychology of Mathematics Education (PME-NA) (36th, Vancouver, Canada, Jul 15-20, 2014).
Quelle	(2014), (8 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
Schlagwörter	Generalization; Learning Processes; Mathematics Education; Socialization; Correlation; Guidelines; Educational Philosophy; Teaching Methods; Instructional Design; Elementary Secondary Education + Suchen Sie Ihr Suchwort? Learning process; Lernprozess; Mathematische Bildung; Socialisation; Sozialisation; Korrelation; Richtlinien; Bildungsphilosophie; Erziehungsphilosophie; Teaching method; Lehrmethode; Unterrichtsmethode; Lesson concept; Lessonplan; Unterrichtsentwurf
Abstract	The purpose of this study is to clarify for what students do generalize something in learning mathematics. In this study, we make a distinction between generalization and extension, and focus on the function of generalization in terms of its meaning, purpose, and usefulness. Through reviewing literature on generalization and philosophical considerations, six functions with their examples are identified; variablization, purification, unification, discovery, association, and socialization. We propose a new theoretical framework for the function of generalization in learning mathematics, suggesting that the framework has possibility of a principle of didactics for teachers and a guideline in forming mental habit for students. [For the complete proceedings, see ED597799.] (As Provided).
Anmerkungen	North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01