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Bishop, Jessica Pierson; Lamb, Lisa L.; Philipp, Randolph A.; Whitacre, Ian; Schappelle, Bonnie P. – Mathematics Teaching in the Middle School, 2016
Recognizing and using mathematical structure are key components of mathematical reasoning. The authors believe that one productive way to support students' use of structure is by identifying opportunities to address structure in the context of what teachers are already doing, rather than developing additional tasks or new curriculum materials. The…
Descriptors: Mathematical Logic, Mathematics Instruction, Instructional Materials, Numbers
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Kamii, Constance; Rummelsburg, Judith; Kari, Amy – Journal of Mathematical Behavior, 2005
To develop their logico-mathematical foundation of number as described by Piaget (1947/1950, 1967/1971, 1971/1974), 26 low-performing, low-SES first graders were given physical-knowledge activities (e.g., Pick-Up Sticks and "bowling") during the math hour instead of math instruction. During the second half of the school year, when they showed…
Descriptors: Mental Computation, Word Problems (Mathematics), Grade 1, Arithmetic