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ERIC Number: EJ1057192
Record Type: Journal
Publication Date: 2013
Pages: 17
Abstractor: As Provided
Reference Count: 42
ISSN: ISSN-1886-1350
Distinguishing Schemes and Tasks in Children's Development of Multiplicative Reasoning
Tzur, Ron; Johnson, Heather L.; McClintock, Evan; Kenney, Rachael H.; Xin, Yan P.; Si, Luo; Woordward, Jerry; Hord, Casey; Jin, Xianyan
PNA, v7 n3 p85-101 2013
We present a synthesis of findings from constructivist teaching experiments regarding six schemes children construct for reasoning multiplicatively and tasks to promote them. We provide a task-generating platform game, depictions of each scheme, and supporting tasks. Tasks must be distinguished from children's thinking, and learning situations must be organized to (a) build on children's available schemes, (b) promote the next scheme in the sequence, and (c) link to intended mathematical concepts.
Universidad de Granada Didáctica de la Matemática: Persamiento Numerico, FQM-193. Campus de Cartuja, Granada, Spain 18071. Tel: +34-958-241503; Fax: +34-958-246359; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: National Science Foundation
Authoring Institution: N/A
IES Grant or Contract Numbers: DRL 0822296