Papers

Here are some of the papers I have published.  Because of the copyright issue, some papers cannot be posted here.  Please e-mail me if you want a copy of those papers. Some of the papers may be available here.

• Ratio, rate, and proportion in Japanese curriculum materials, Asian Journal for Mathematics Education, 3 (3), 275-288.
• Japanese lesson study in the United States: Looking back and looking forward. Educational Designer, 3 (11).
• Intended Treatment of Fractions and Fraction Operations in Mathematics Curricula from Japan, Korea, and Taiwan. In J. Son, T. Watanabe & J. Lo (eds.) What Matters? Research Trends in International Comparative Studies in Mathematics Education, 33 - 61.
• Visual Reasoning Tools in Action. Mathematics Teaching in the Middle School, 21 (3), 152 - 160.
• "Transformation of Japanese Elementary Mathematics Textbooks: 1958 - 2012."  In Y. Li, E. Silver, & S. Li (eds.) Transforming Mathematics Instruction: Multiple Approaches and Practices, 199 - 215.
• "Shiki: A Critical Foundation for School Algebra in Japanese Elementary School Mathematics." In J. Cai & E. Knuth (eds.) Early Algebraization, 109 - 124.
• "Supporting Focused and Cohesive Curricula through Visual Representations: An Example from Japanese Textbooks." (with A. Takahashi & M. Yoshida), 2010 NCTM Yearbook, 131 - 143.
• "Algebra in Elementary School: A Japanese Perspective."  Algebra and Algebraic Thinking in School Mathematics: Seventieth NCTM Yearbook, 183 - 194.
• "In Pursuit of a Focused and Coherent School Mathematics Curriculum" The Mathematics Educator, 17 (1), 2 - 6.
• "Initial Treatment of Fractions in Japanese Textbooks." Focus on Learning Problems in Mathematics, 29 (2), 41 - 60.
• "Teaching and learning of fractions: A Japanese perspective." Teaching Children Mathematics, 12 (March, 2006), 368 - 374.
• "Issues in Teaching and Learning Algebra in the Primary Grades." In Lewis, C. & Takahashi, A. (Eds), Learning Across Boundaries: U.S.-Japan Collaboration in Mathematics, Science and Technology Education, 161-177. (2006)
• "Teaching multiplication: An analysis of elementary school mathematics teachers' manuals from Japan and the United States." Elementary School Journal, 104 (November, 2003), 111  125.
• "Representations in the Teaching and Learning of Fractions." Teaching Children Mathematics, 8 (April 2002), 457-463.
• "Learning from Japanese Lesson Study." Educational Leadership, 59 (March, 2002), 36-39.
• "Anticipating Children's Thinking: A Japanese Approach to Instruction." Mathematics Education Dialogue, November, 2001.
• "Content and Organization of Teachers' Manuals: An Analysis of Japanese Elementary Mathematics Teachers' Manuals." School Science and Mathematics, 101 (April, 2001), 194-205.
• "Japanese High School Entrance Examination." Mathematics Teacher, 93 (January, 2000), 30-35.
• "Ben's Understanding of One-Half." Teaching Children Mathematics, 2 (April, 1996), 460-464.