Stages in Constructing and Coordinating Units Additively and Multiplicatively (Part 1)

Autor/in	Ulrich, Catherine
Titel	Stages in Constructing and Coordinating Units Additively and Multiplicatively (Part 1)
Quelle	In: For the Learning of Mathematics, 35 (2015) 3, S.2-7 (7 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0228-0671
Schlagwörter	Mathematics Education; Secondary School Mathematics; High School Students; Constructivism (Learning); Mathematics Skills; Algebra; Abstract Reasoning; Arithmetic; Number Concepts; Learning Processes; Learning Strategies; Learning Theories + Suchen Sie Ihr Suchwort? Mathematische Bildung; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Abstraktes Denken; Denken; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Number concept; Zahlbegriff; Learning process; Lernprozess; Learning methode; Learning techniques; Lernmethode; Lernstrategie; Learning theory; Lerntheorie
Abstract	This is the first of a two-part article that presents a theory of unit construction and coordination that underlies radical constructivist empirical studies of student learning ranging from young students' counting strategies to high school students' algebraic reasoning. My explanation starts with the formation of arithmetical units, which presage the construction of the first numerical schemes, and continues on through the construction of a three-level structure of coordinated units, which is necessary for upper-level mathematics. Along the way I disambiguate terminology in order to increase the accessibility of this useful theory to a wider group of learning researchers. (As Provided).
Anmerkungen	FLM Publishing Association. 382 Education South, University of Alberta, Edmonton, Alberta T6G 2G5, Canada. e-mail: flm2@ualberta.ca; Web site: http://flm.educ.ualberta.ca
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01