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Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/23477

Title: Distinguishing schemes and tasks in children's development of multiplicative reasoning
Other Titles: Distinción de esquemas y tareas en el desarrollo del razonamiento multiplicativo de los niños
Authors: Tzur, Ron
Johnson, Heather L.
McClintock, Evan
Kenney, Rachael H.
Xin, Yan P.
Si, Luo
Woordward, Jerry
Hord, Casey
Jin, Xianyan
Issue Date: 2013
Abstract: 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.
Presentamos una síntesis de hallazgos de experimentos de enseñanza constructivistas en relación con seis esquemas que los niños construyen para razonar multiplicativamente y tareas para promoverlos. Proveemos una plataforma de juego generadora de tareas, descripciones de cada esquema y tareas para apoyarlos. Las tareas deben distinguirse del pensamiento de los niños, y las situaciones de aprendizaje deben organizarse para que (a) se basen en los esquemas que los niños tienen disponibles, (b) promuevan el siguiente esquema en la secuencia y (c) se relacionen con los conceptos matemáticos pretendidos.
Sponsorship: This research was supported by the US National Science Foundation under grant DRL 0822296, which funded the activities of the Nurturing Multiplicative Reasoning in Students with Learning Disabilities in a Computerized Conceptual-Modeling Environment (NMRSD) project. The opinions expressed in this article do not necessarily reflect the views of the Foundation.
Publisher: Grupo de Investigación Didáctica de la Matemática: Pensamiento Numérico (FQM-193)
Series/Report no.: PNA;7(3)
Keywords: Constructivism
Multiplicative reasoning
Scheme
Task
Constructivismo
Esquema
Razonamiento multiplicativo
Tarea
URI: http://hdl.handle.net/10481/23477
ISSN: 1887-3987
Citation: Tzur, R.; et al (2013). Distinguishing schemes and tasks in children's development of multiplicative reasoning. PNA, 7(3): 85-101. [http://hdl.handle.net/10481/23477]
Appears in Collections:Volumen 7

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