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ERIC Number: EJ1082153
Record Type: Journal
Publication Date: 2015-Nov
Pages: 48
Abstractor: As Provided
Reference Count: 76
ISBN: N/A
ISSN: ISSN-0021-8251
A Learning Trajectory in 6-Year-Olds' Thinking about Generalizing Functional Relationships
Blanton, Maria; Brizuela, Bárbara M.; Gardiner, Angela Murphy; Sawrey, Katie; Newman-Owens, Ashley
Journal for Research in Mathematics Education, v46 n5 p511-558 Nov 2015
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.
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/
Publication Type: Journal Articles; Reports - Research; Tests/Questionnaires
Education Level: Elementary Education; Grade 1; Primary Education; Early Childhood Education
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
IES Grant or Contract Numbers: DRL1154355