Cai, J. (1995). A cognitive analysis of U.S. and Chinese students’ mathematical performance on tasking involving computation, simple problem solving, and complex problem solving. Journal for Research in Mathematics Education (Monograph series 7). Reston, VA: National Council of Teachers of Mathematics.
Cai, J. (2000). Mathematical thinking involved in U.S. and Chinese students’ solving process-constrained and process-open problems. Mathematical Thinking and Learning, 2
Cai, J., Lo, J. J., & Watanabe, T. (2002). Intended treatments of arithmetic average in U.S. and Asian school mathematics. School Science and Mathematics, 102
Cai, J., Nie, B., & Moyer, J. C. (2010). The teaching of equation solving: Approaches in standards-based and traditional curricula in the United States. Pedagogies: An International Journal, 5
Charalambous, C., Delaney, S., Hui-Yu, H., & Mesa, V. (2010). A comparative analysis of the addition and subtraction of fractions in textbooks from three countries. Mathematical Thinking and Learning, 12
Common Core State Standards Initiative. (2010). Common Core State Standards for Mathematics.
Retrieved from http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf
Fan, L., & Zhu, Y. (2007). Representation of problem-solving procedures: A comparative look at China, Singapore, and US mathematics textbooks. Educational Studies in Mathematics, 66
Ferrini-Mundy, J., & Schmidt, W. H. (2005). Research commentary: International comparative studies in mathematics education: Opportunities for collaboration and challenges for researchers. Journal for Research in Mathematics Education, 36, 164–175.
Fey, J. T., Schoen, H. L., Watkins, A. E., Hirsh, C. R., & Hart, E. W. (2008). Core-plus mathematics: Contemporary mathematics in context, course 3. Columbus: Glencoe/McGraw-Hill.
Filloy, E., & Rojano, T. (1989). Solving equations: The transition from arithmetic to algebra. For the Learning of Mathematics, 9(2), 19–25.
Fuson, K. C., Stigler, J. W., & Bartsch, K. B. (1988). Grade placement of addition and subtraction topics in Japan, Mainland China, the Soviet Union, Taiwan, and the United States. Journal for Research in Mathematics Education, 19
Garner, R. (1992). Learning from school texts. Educational Psychologist, 27
Herscovics, N., & Linchevski, L. (1994). A cognitive gap between arithmetic and algebra. Educational Studies in Mathematics, 27
Hiebert, J., Gallimore, R., Garnier, H., Givvin, K. B., Hollingsworth, H., Jacobs, J. K., et al. (2003). Teaching mathematics in seven countries: Results from the TIMSS 1999 video study, (NCES 2003-013 Revised). Washington, DC: U.S. Department of Education, National Center for Education Statistics.
Hiebert, J., Stigler, J., Jacobs, J., Givvin, K. B., Garnier, H., Smith, M., et al. (2005). Mathematics teaching in the United States today (and tomorrow): Results from the TIMSS 1999 video study. Educational Evaluation and Policy, 27
Hiebert, J., & Wearne, D. (1993). Instructional tasks, classroom discourse, and students’ learning in second-grade arithmetic. American Educational Research Journal, 30
Hirsch, C. R., Fey, J. T., Hart, E. W., Schoen, H. L., & Watkins, A. E. (2007). Core-plus mathematics: Contemporary mathematics in context, course 1. Columbus: Glencoe/McGraw-Hill.
Hirsch, C. R., Schoen, H. L., Fey, J. T., Watkins, A. E., & Hart, E. W. (2007). Core-plus mathematics: Contemporary mathematics in context, course 2. Columbus: Glencoe/McGraw-Hill.
Judson, T. W., & Nishimori, T. (2005). Concepts and skills in high school calculus: An examination of a special case in Japan and the United States. Journal for Research in Mathematics Education, 36, 24–43.
Kang, O. K., Jung, S., & Lee, H. (2008). Joonghakyo Soohak 9-Ga [Middle School Mathematics 9-A]. Seoul: Dusan.
Kang, O. K., et al. (2001). Godunghakyo Soohak 10-Ga [High School Mathematics 10-A]. Seoul: Joongang Education.
Kang, H., et al. (2007). Joonghakyo Soohak 9-Ga [Middle School Mathematics 9-A]. Seoul: Joongang Education.
Kieran, C. (1981). Concepts associated with the equality symbol. Educational Studies in Mathematics, 12
Korean Textbook Research Foundation (KTRF) (1998). A study on making list of all textbooks published in Korea since 1945 and studying how to collect these textbooks. Seoul: KTRF.
Kramer, S. L., & Keller, R. (2008). A brief report: An existence proof: Successful joint implementation of the IMP curriculum and a 4 × 4 block schedule at a suburban U.S. high school. Journal for Research in Mathematics Education, 39, 2–8.
Leung, F. K. S. (2005). Some characteristics of East Asian mathematics classrooms based on data from the TIMSS 1999 video study. Educational Studies in Mathematics, 60
Li, Y. (2000). A comparison of problems that follow selected content presentations in American and Chinese mathematics textbooks. Journal for Research in Mathematics Education, 31
Lins Lessa, M. M. (1995). A balança de dois pratos versus problemas verbais na iniciação à algebra [Two-pan scale versus verbal problems in introductory algebra] (Unpublished master’s thesis). Universidade Federal de Pernambuco, Recife, Brazil.
MacGregor, M., & Stacey, K. (1993). Cognitive models underlying students’ formulation of simple linear equations. Journal for Research in Mathematics Education, 24
MacGregor, M., & Stacey, K. (1997). Students’ understanding of algebraic notation: 11-15. Educational Studies in Mathematics, 33
Mayer, R. E., Sims, V., & Tajika, H. (1995). A comparison of how textbooks teach mathematical problem solving in Japan and the United States. American Educational Research Journal, 32, 443–460.
Ministry of Education (MOE) in Korea. (2007). The seventh national mathematics curriculum. Seoul: MOE.
National Council of Teachers of Mathematics (NCTM) (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: NCTM.
National Council of Teachers of Mathematics (NCTM) (2000). Principles and standards for school mathematics. Reston, VA: NCTM.
Renkl, A. (2002). Worked-out examples: Instructional explanations support learning by self-explanations. Learning and Instruction, 12
Reys, B. J., Reys, R. E., & Chavez, O. (2004). Why mathematics textbooks matter. Educational Leadership, 61(5), 61–66.
Riordan, J. E., & Noyce, P. E. (2001). The impact of two standards-based mathematics curricula on student achievement in Massachusetts. Journal for Research in Mathematics Education, 32
Schliemann, A. D., Carraher, D. W., Brizuela, B., & Jones, W. (1998). Solving algebra problems before algebra instruction. Paper presented at the Second Meeting of the Early Algebra Research Group, Medford, MA.
Schmidt, W. H. (2005). A vision for mathematics. Educational Leadership, 61(5), 6–11.
Schmidt, W. H., McKnight, C. C., Houang, R. T., Wang, H. C., Wiley, D. E., Cogan, L. S., et al. (2001). Why schools matter: A cross national comparison of curriculum and learning. San Francisco: Jossey-Bass.
Schoen, H. L., & Hirsch, C. R. (2003a). Responding to calls for change in high school mathematics: Implications for collegiate mathematics. American Mathematical Monthly, 110
Schoen, H. L., & Hirsch, C. R. (2003b). The core-plus mathematics project: Perspectives and student achievement. In S. Senk & D. Thompson (Eds.), Standards-oriented school mathematics curricula: What are they? What do students learn? (pp. 311–344). Hillsdale: Lawrence Erlbaum Associates.
Seeley, C., & Schielack, J. F. (2007). A look at the development of algebraic thinking in curriculum focal points. Mathematics Teaching in the Middle School, 13, 266–269.
Son, J., & Senk, S. (2010). How standards curricula in the USA and Korea present multiplication and division of fractions. Educational Studies in Mathematics, 74
Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in standards classrooms. American Educational Research Journal, 33
Steinberg, R., Sleeman, D., & Ktorza, D. (1990). Algebra students knowledge of equivalence of equations. Journal for Research in Mathematics Education, 22
Stevenson, H. W., & Bartsch, K. (1992). An analysis of Japanese and American textbooks in mathematics. In R. Leetsman & H. J. Walberg (Eds.), Japanese educational productivih (pp. 103–134). Greenwich, CT: JAI Press.
Stigler, J., Fuson, K., Ham, M., & Kim, M. S. (1986). An analysis of addition and subtraction word problems in American and Soviet elementary mathematics textbooks. Cognition and Instruction, 3
Stigler, J. W., & Hiebert, J. (2004). Improving mathematics teaching. Educational Leadership, 65(1), 12–16.
Stigler, J. W., Lee, S.-Y., Lucker, G. W., & Stevenson, H. W. (1982). Curriculum and achievement in mathematics: A study of elementary school children in Japan, Taiwan, and the United States. Journal of Educational Psychology, 74
Tarr, J. E., Reys, R. E., Reys, B. J., Chavez, O., Shih, J., & Osterlind, S. (2008). The impact of middles grades mathematics curricula and the classroom learning environment on student achievement. Journal for Research in Mathematics Education, 39, 247–280.
Wagner, S. (1981). Conservation of equation and function under transformations of variable. Journal for Research in Mathematics Education, 12
Watson, A., & Mason, J. (2005). Mathematics as a constructive activity: Learners generating examples. Mahwah: Lawrence Erlbaum.
Westbury, I. (1992). Comparing American and Japanese achievement: Is the United States really a low achiever? Educational Researcher, 21
Wu, M. (2006). A comparison of mathematics performance between East and West: What PISA and TIMSS can tell us. In F. K. S. Leung, K.-D. Graf, & F. J. Lopez-Real (Eds.), Mathematics education in different cultural traditions: A comparative study of East Asia and the West (pp. 227–238). New York: Springer.
Yim, J., et al. (2001). Godunghakyo Soohak 10-Ga [High School Mathematics 10-A]. Seoul: Doosan.
Zhu, Y., & Fan, L. (2006). Focus on the representation of problem types in intended curriculum: A comparison of selected mathematics textbooks from mainland China and the United States. International Journal of Science and Mathematics Education, 4