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50 Years of ERIC
50 Years of ERIC
The Education Resources Information Center (ERIC) is celebrating its 50th Birthday! First opened on May 15th, 1964 ERIC continues the long tradition of ongoing innovation and enhancement.

Learn more about the history of ERIC here. PDF icon

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Meta-Representation in an Algebra I Classroom
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Izsak, Andrew; Caglayan, Gunhan; Olive, John – Journal of the Learning Sciences, 2009
We describe how 1 Algebra I teacher and her 8th-grade students used meta-representational knowledge when generating and evaluating equations to solve word problems. Analyzing data from a sequence of 4 lessons, we found that the teacher and her students used criteria for evaluating equations, in addition to other types of knowledge (e.g., different…
Descriptors: Word Problems (Mathematics), Equations (Mathematics), Algebra, Mathematics Instruction
"You Have to Count the Squares": Applying Knowledge in Pieces to Learning Rectangular Area
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Izsak, Andrew – Journal of the Learning Sciences, 2005
This article extends and strengthens the knowledge in pieces perspective (diSessa, 1988, 1993) by applying core components to analyze how 5th-grade students with computational knowledge of whole-number multiplication and connections between multiplication and discrete arrays constructed understandings of area and ways of using representations to…
Descriptors: Problem Solving, Mathematics Education, Grade 5, Elementary School Students
"You Have to Count the Squares": Applying Knowledge in Pieces to Learning Rectangular Area
Peer reviewed Peer reviewed
Direct linkDirect link
Izsak, Andrew – Journal of the Learning Sciences, 2005
This article extends and strengthens the knowledge in pieces perspective (diSessa, 1988, 1993) by applying core components to analyze how 5th-grade students with computational knowledge of whole-number multiplication and connections between multiplication and discrete arrays constructed understandings of area and ways of using representations to…
Descriptors: Instructional Design, Mathematics Instruction
Inscribing the Winch: Mechanisms by Which Students Develop Knowledge Structures for Representing the Physical World with Algebra.
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Izsak, Andrew – Journal of the Learning Sciences, 2000
Proposes an account of mechanisms by which students develop knowledge structures for modeling the physical world with algebra. (Author/CCM)
Descriptors: Algebra, Cognitive Structures, Concept Formation, Higher Education