ERIC Number: EJ1090388
Record Type: Journal
Publication Date: 2013
Abstractor: As Provided
Conceptual Learning in a Principled Design Problem Solving Environment
Prusak, Naomi; Hershkowitz, Rina; Schwarz, Baruch B.
Research in Mathematics Education, v15 n3 p266-285 2013
To what extent can instructional design be based on principles for instilling a culture of problem solving and conceptual learning? This is the main focus of the study described in this paper, in which third grade students participated in a one-year course designed to foster problem solving and mathematical reasoning. The design relied on five principles: (a) encouragement to produce multiple solutions; (b) creating collaborative situations; (c) socio-cognitive conflicts; (d) providing tools for checking hypotheses; and (e) inviting students to reflect on solutions. We describe how a problem solving task designed according to the above principles, promoted students' understanding of the area concept. We show that the design afforded the surfacing of multiple solutions and justifications in various modalities (including gestures) and initiated peer argumentation, leading to deep learning of the area concept.
Descriptors: Problem Solving, Foreign Countries, Geometry, Mathematics, Mathematics Education, Mathematics Instruction, Mathematics Teachers, Mathematical Concepts, Elementary School Mathematics, Grade 3, Mathematics Skills, Mathematics Activities
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Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Grade 3; Primary Education; Early Childhood Education
Authoring Institution: N/A
Identifiers - Location: Israel
Grant or Contract Numbers: N/A