A Learning Trajectory in 6-Year-Olds' Thinking about Generalizing Functional Relationships

Autor/inn/en	Blanton, Maria; Brizuela, Bárbara M.; Gardiner, Angela Murphy; Sawrey, Katie; Newman-Owens, Ashley
Titel	A Learning Trajectory in 6-Year-Olds' Thinking about Generalizing Functional Relationships
Quelle	In: Journal for Research in Mathematics Education, 46 (2015) 5, S.511-558 (48 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0021-8251
Schlagwörter	Young Children; Elementary School Students; Grade 1; Mathematics Instruction; Mathematical Concepts; Cognitive Processes; Thinking Skills; Generalization; Mathematical Logic; Teaching Methods; Interviews; Video Technology; Sequential Learning; Grounded Theory + Suchen Sie Ihr Suchwort? Frühe Kindheit; School year 01; 1. Schuljahr; Schuljahr 01; Mathematics lessons; Mathematikunterricht; Cognitive process; Kognitiver Prozess; Denkfähigkeit; Mathematical logics; Mathematische Logik; Teaching method; Lehrmethode; Unterrichtsmethode; Interviewing; Interviewtechnik; Didaktische Sequenzierung; Lernsequenz
Abstract	The study of functions is a critical route into teaching and learning algebra in the elementary grades, yet important questions remain regarding the nature of young children's understanding of functions. This article reports an empirically developed learning trajectory in first-grade children's (6-year-olds') thinking about generalizing functional relationships. We employed design research and analyzed data qualitatively to characterize the levels of sophistication in children's thinking about functional relationships. Findings suggest that children can learn to think in quite sophisticated and generalized ways about relationships in function data, thus challenging the typical curricular approach in the lower elementary grades in which children consider only variation in a single sequence of values. (As Provided).
Anmerkungen	National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01