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Soni, Meghna; Okamoto, Yukari – Mathematical Thinking and Learning: An International Journal, 2020
Competence in fractions is important in achieving advanced mathematics such as algebra and calculus. To foster students' understanding of fractions, intervention studies have found number lines to be an effective representational tool. Yet, it is unclear whether or not number lines are equally effective regardless of the ways in which they are…
Descriptors: Mathematics Instruction, Fractions, Mathematical Concepts, Numbers
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
Moseley, Bryan; Okamoto, Yukari – School Science and Mathematics, 2008
This study examined average-, high- and top-performing US fourth graders' rational number problem solving and their understanding of rational number representations. In phase one, all students completed a written test designed to tap their skills for multiplication, division and rational number word-problem solving. In phase two, a subset of…
Descriptors: Numbers, Problem Solving, Grade 4, Numeracy
Moseley, Bryan James; Okamoto, Yukari; Ishida, Junichi – International Journal of Science and Mathematics Education, 2007
Using cognitive ethnography as a guiding framework, we investigated US and Japanese fourth-grade teachers' domain knowledge of key fraction representations in individual interviews. The framework focused on revealing cultural trends in participants' organization of knowledge and their interpretations of that organization. Our analyses of the…
Descriptors: Textbooks, Numbers, Ethnography, Cultural Differences
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
Peer reviewed
Miura, Irene T.; Okamoto, Yukari; Vlahovic-Stetic, Vesna; Kim, Chungsoon C.; Han, John Hye – Journal of Experimental Child Psychology, 1999
This study compared 6- to 7-year-olds' knowledge of numerical fractions prior to school instruction in Croatia, Korea, and United States. Results suggested that the Korean vocabulary of fractions may influence the meaning children ascribe to numerical fractions and that this results in children being able to associated numerical fractions with…
Descriptors: Cognitive Development, Elementary School Students, Foreign Countries, Fractions