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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: Instructional Design, Mathematics Instruction
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