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Moon, Kyunghee; Brenner, Mary E.; Jacob, Bill; Okamoto, Yukari – North American Chapter of the International Group for the Psychology of Mathematics Education, 2012
This study investigates cognitive difficulties and mathematical ideas that are related to making connections among representations. A three-week intervention was designed and implemented to help prospective secondary mathematics teachers develop understanding of big ideas that are critical to connection of representations in algebra. This study…
Descriptors: Preservice Teachers, Preservice Teacher Education, Mathematics Education, Pedagogical Content Knowledge
Siegler, Robert; Carpenter, Thomas; Fennell, Francis; Geary, David; Lewis, James; Okamoto, Yukari; Thompson, Laurie; Wray, Jonathan – What Works Clearinghouse, 2010
This practice guide presents five recommendations intended to help educators improve students' understanding of, and problem-solving success with, fractions. Recommendations progress from proposals for how to build rudimentary understanding of fractions in young children; to ideas for helping older children understand the meaning of fractions and…
Descriptors: Mathematics, Problem Solving, Young Children, Elementary Education
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Miura, Irene T.; Okamoto, Yukari – Journal of Educational Psychology, 1989
The relationship between mathematics performance and fundamental linguistic variations in the cognitive representation of numbers was assessed, using 24 first graders each from the United States and Japan. Results indicate that the Japanese cognitive representation of number positively affects the understanding of place value. No gender…
Descriptors: Cognitive Processes, Comparative Analysis, Cross Cultural Studies, Elementary Education