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Research Articles

Comparing elementary school textbooks of China, Japan, and Malaysia: a praxeological and developmental progression analysis regarding length measurement

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Pages 359-378 | Received 21 Dec 2020, Accepted 13 Jul 2022, Published online: 07 Sep 2022

References

  • Ainol Rafezah, A., & Asmahanim, A. R. (Eds.), (2016). 1st grade Mathematics National School Textbook. (Vol. II; in Malay). Dewan Bahasa dan Pustaka.
  • Ainol Rafezah, A., & Asmahanim, A. R. (Eds.), (2017). 2nd grade Mathematics National School Textbook. (Vol. II; in Malay). Dewan Bahasa dan Pustaka.
  • Artigue, M., & Winslow, C. (2010). International comparative studies on mathematics education: A viewpoint from the anthropological theory of didactics. Recherches en didactique des mathématiques, 30(1), 47–82.
  • Barrett, J., Cullen, C., Sarama, J., Clements, D., Klanderman, D., Miller, A., & Rumsey, C. (2011). Children's unit concepts in measurement: A teaching experiment spanning grades 2 through 5. ZDM, 43(5), 637–650. https://doi.org/10.1007/s11858-011-0368-8
  • Bosch, M., & Gascon, J. (2006). Twenty-five years of the didactic transposition. ICMI Bulletin, 58, 51–65.
  • Browning, C., Edson, A., Kimani, P., & Aslan-Tutak, F. (2014). Mathematical content knowledge for teaching elementary mathematics: A focus on geometry and measurement. The Mathematics Enthusiast, 11(2), 333–383. https://doi.org/10.54870/1551-3440.1306
  • Chevallard, Y. (1985). La transposition didactique. Du savoir savant au savoir enseigné. La Pensée Sauvage.
  • Chevallard, Y. (2006). Steps towards a new epistemology in mathematics education. In M. Bosch (Ed.), Proceedings of the 4th congress of the European society for research in mathematics education (pp. 21–30). Universitat Ramon Llull.
  • Clements, D., & Sarama, J. (2004). Learning trajectories in mathematics education. Mathematical Thinking and Learning, 6(2), 81–89. https://doi.org/10.1207/s15327833mtl0602_1
  • Fan, L., Zhu, Y., & Miao, Z. (2013). Textbook research in mathematics education: Development status and directions. ZDM, 45(5), 633–646. https://doi.org/10.1007/s11858-013-0539-x
  • Haidong, L., & Na, L. (2018). Features and characteristics of Chinese new century mathematics textbooks. In Y. Cao & F. Leung (Eds.), The 21st century mathematics education in China. New frontiers of educational research (pp. 171–192). Springer. https://doi.org/10.1007/978-3-662-55781-5_9 .
  • Hamedi, A., & Ezaleila, M. (2015). Digital textbook program in Malaysia: Lessons from South Korea. Publishing Research Quarterly, 31(4), 244–257. https://doi.org/10.1007/s12109-015-9425-4
  • Hitotsumatsu, S., & Okada, Y. (Eds.), (2020a). Study with your friends: Mathematics for elementary school 1st grade (vol. II; in Japanese). Gakko Tosho.
  • Hitotsumatsu, S., & Okada, Y. (Eds.), (2020b). Study with your friends: Mathematics for elementary school 2nd grade (vol. II; in Japanese).Gakko Tosho.
  • Hitotsumatsu, S., & Okada, Y. (Eds.), (2020c). Study with your friends: Mathematics for elementary school 2nd grade. Vol. I; in Japanese. Gakko Tosho.
  • Isoda, M., & Olfos, R. (2020). Introduction: Japanese theories and overview of the chapters in this book. In M. Isoda & R. Olfos (Eds.), Teaching multiplication with lesson study (pp. 1–21). Springer.
  • Lee, T. W. (1998). Management of the textbook loan scheme in a secondary school (Unpublished master's thesis). Universiti Malaya.
  • Lehrer, R. (2003). Developing understanding of measurement. In J. Kilpatrick, G. Martin, & D. Schifter (Eds.), Research companion to principles and standards for school mathematics (pp. 179–192). National Council of Teachers of Mathematics.
  • Li, Y., Zhang, J., & Ma, T. (2009). Approaches and practices in developing school mathematics textbooks in China. ZDM, 41(6), 733–748. https://doi.org/10.1007/s11858-009-0216-2
  • Luce, D., & Suppes, P. (2002). Representational measurement theory. In J. Wixted & H. Pashler (Eds.), Stevens' handbook of experimental psychology (Volume 4: Methodology in experimental psychology) (pp. 1–41). John Wiley & Sons.
  • Ming, C. (2016). Chinese teaching and learning of mathematics. In C. Chuing & J. Spangler (Eds.), Chinese education models in a global age, education in the Asia-Pacific region (pp. 293–304). Springer. https://doi.org/10.1007/978-981-10-0330-1_21
  • Ministry of Education Malaysia. (2013). Malaysia education blueprint 2013–2025 (preschool to post-secondary education) (Tech. Rep.). Ministry of Education Malaysia.
  • Miyakawa, T. (2017). Comparative analysis on the nature of proof to be taught in geometry: The cases of French and Japanese lower secondary schools. Educational Studies in Mathematics, 94(1), 37–54. https://doi.org/10.1007/s10649-016-9711-x
  • Organization for Economic Cooperation and Development. (2019). Programme for International Student Assessment 2018 Results (Tech. Rep.). Organization for Economic Cooperation and Development.
  • Outhred, L., & McPhail, D. (2000). A framework for teaching early measurement. In J. Bana & A. Chapman (Eds.), Mathematics education beyond 2000 (pp. 487–494). MERGA.
  • Passelaigue, D., & Munier, V. (2015). Schoolteacher trainees' difficulties about the concepts of attribute and measurement. Educational Studies in Mathematics, 89(3), 307–336. https://doi.org/10.1007/s10649-015-9610-6
  • People's Education Press. (2013). Mathematics 2nd grade (Vol I; in Chinese). People's Education Press.
  • Pepin, B., Gueudet, G., & Trouche, L. (2013). Investigating textbooks as crucial interfaces between culture, policy and teacher curricular practice: Two contrasted case studies in France and Norway. ZDM, 45(5), 685–698. https://doi.org/10.1007/s11858-013-0526-2
  • Sarama, J., Clements, D., Barrett, J., Van Dine, D., & McDonel, J. (2011). Evaluation of a learning trajectory for length in the early years. ZDM, 43(5), 667–680. https://doi.org/10.1007/s11858-011-0326-5
  • Shimizu, S., & Watanabe, T. (2010). Principles and processes for publishing textbooks and alignment with standards: A case in Japan. In T. Akihiko & B. Fu (Eds.), Replicating exemplary practices in mathematics education among APEC economies. Asia Pacific Economic Cooperation Secretariat.
  • Simon, M. (1995). Reconstructing mathematics pedagogy from a constructivist perspective. Journal for Research in Mathematics Education, 26(2), 114–145. https://doi.org/10.2307/749205
  • Smith, J., & Lee, K. (2011). What is different across an ocean? How Singapore and US elementary mathematics curricula introduce and develop length measurement. ZDM, 43(5), 681–696. https://doi.org/10.1007/s11858-011-0369-7
  • Smith, J., van den Heuvel-Panhuizen, M., & Teppo, A. (2011). Learning, teaching, and using measurement: Introduction to the issue. ZDM, 43(5), 617–620. https://doi.org/10.1007/s11858-011-0369-7
  • Stephan, M., & Clements, D. (2003). Linear, area, and time measurement in prekindergarten to grade 2. In D. Clements & G. Bright (Eds.), Learning and teaching measurement: 2003 yearbook (pp. 3–16). National Council of Teachers of Mathematics.
  • Swoyer, C. (1987). The metaphysics of measurement. In J. Forge (Ed.), Measurement, realism and objectivity (pp. 235–290). Reidel.
  • Szilagyi, J., Clements, D., & Sarama, J. (2013). Young children's understandings of length measurement: Evaluating a learning trajectory. Journal for Research in Mathematics Education, 44(3), 581–620. https://doi.org/10.5951/jresematheduc.44.3.0581
  • Sztajn, P., Confrey, J., Wilson, P., & Edgington, C. (2012). Learning trajectory based instruction: Toward a theory of teaching. Educational Researcher, 41(5), 147–156. https://doi.org/10.3102/0013189X12442801
  • Takeuchi, H., & Shinno, Y. (2020). Comparing the lower secondary textbooks of Japan and England: A praxeological analysis of symmetry and transformations in geometry. International Journal of Science and Mathematics Education, 18(4), 791–810. https://doi.org/10.1007/s10763-019-09982-3
  • Tal, E. (2020). Measurement in science. In E. N. Zalta (Ed.), The Stanford encyclopedia of philosophy (Fall 2020 ed.). Metaphysics Research Lab, Stanford University.
  • Tan, K. J., Ismail, Z., & Abidin, M. (2018). A comparative analysis on cognitive domain for the Malaysian primary four textbook series. Eurasia Journal of Mathematics, Science and Technology Education, 14(4), 1273–1286. https://doi.org/10.29333/ejmste/82625
  • Trout, J. D. (2000). Measurement. In W. H. Newton-Smith (Ed.), A companion to the philosophy of science (pp. 265–276). Blackwell.
  • Valverde, G., Bianchi, L., Wolfe, R., Schmidt, W., & Houang, R. (2002). According to the book: Using TIMSS to investigate the translation of policy into practice through the world of textbooks. Kluwer Academic Publishers.
  • Wang, J., & Lu, X. (2018). Selection of content in high school mathematics textbooks: An international comparison. ZDM, 50(5), 813–826. https://doi.org/10.1007/s11858-018-0977-6
  • Wijayanti, D., & Winslow, C. (2017). Mathematical practice in textbooks analysis: Praxeological reference models, the case of proportion. REDIMAT, 6(3), 307–330. https://doi.org/10.17583/redimat.2017.2078
  • Winslow, C. (2011). Anthropological theory of didactic phenomena: Some examples and principles of its use in the study of mathematics education. In M. Bosch et al. (Eds.), An overview of ATD (pp. 117–138). Centre de Recerca Matematica.
  • Xu, B. (2013). The development of school mathematics textbooks in China since 1950. ZDM, 45(5), 725–736. https://doi.org/10.1007/s11858-013-0538-y

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