Design and Implementation of Mathematics Textbooks in Support of Effective Teaching for Secondart Schools: A Chinese Case
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Mathematics textbook plays a significant role in shaping students’ learning of mathematics. Logic, rigor and abstraction as typical features of the formalization of mathematics, dominate mathematics textbooks around the world, which is regarded as one of the important origins of students’ learning difficulties in mathematics. An innovative series of Chinese mathematic textbooks is presented in this paper. Supported by the supplementary materials excerpts from the textbooks, it gives a comprehensive theoretical analysis of the principles of design and implementation of this series of mathematics textbooks. The effectiveness of this series of textbooks is demonstrated by student achievement and secondary research data. It shows that series of Chinese mathematic textbooks has largely decreased students’ learning difficulties in mathematics and enhance classroom teaching efficiency. It suggests that prioritizing the essence of mathematics and reducing abstraction is an important notion for mathematics textbook design and implementation.
Abstract
Mathematics textbook plays a significant role in shaping students’ learning of mathematics. Logic, rigor and abstraction as typical features of the formalization of mathematics, dominate mathematics textbooks around the world, which is regarded as one of the important origins of students’ learning difficulties in mathematics. An innovative series of Chinese mathematic textbooks is presented in this paper. Supported by the supplementary materials excerpts from the textbooks, it gives a comprehensive theoretical analysis of the principles of design and implementation of this series of mathematics textbooks. The effectiveness of this series of textbooks is demonstrated by student achievement and secondary research data. It shows that series of Chinese mathematic textbooks has largely decreased students’ learning difficulties in mathematics and enhance classroom teaching efficiency. It suggests that prioritizing the essence of mathematics and reducing abstraction is an important notion for mathematics textbook design and implementation.
참고문헌 (32)
- Ann, K., "Mathematics textbooks and their potential role in supporting misconceptions", Int. J. Math. Educ. Sci. Technol, 40(2), pp.173~181 (2009)
- Brinkmann, A., "Building structure in mathematics within teaching and learning processes-A study on teachers' input and students' achievement", European Research in Mathematics Education IV: Proceedings of the Fourth Congress of the European Society for Research in Mathematics Education held at Sant Feliu de Guixols, pp.290~299 (2005), Univeristat Ramon Llull - ERME
- Bruner, J. S., "The process of education" (1960), Harvard University Press
- Byers, V., "Content and form in mathematics", Educ. Stud. Math, 15(3), pp.259~275 (1984)
- Byers, V., "Understanding school mathematics", Math. Teaching, 81, pp.24~27 (1977)
- Chen, Z., "Prioritize the essence of mathematics while de-focalize the presentation of forms", Journal of Mathematics Education, 2, pp.2~4 (1993)
- Chen, Z., "Algebra (The first volume of the GX experimental textbooks)" (1999), Southwest Normal University
- Chen, Z., "Geometry (The third volume of the GX experimental textbooks)" (1999), Southwest Normal University
- Chen, Y., "On enhancing the quality of mathematics education at junior high schools in Li regions", Journal of Qiongzhou University, 10, pp.63~66 (2003)
- Dreyfus, T., "Research Forum 1-Abstraction: Theories about the emergence of knowledge structures", Proceedings of the 26th Conference of International Group for the Psychology of Mathematics Education, 1, pp.113~138 (2002), University of East Anglia
- Fan, L., "Textbook research as scientific research: towards a common ground on issues and methods of research on mathematics textbooks", ZDM: Int. J. Math. Educ, 45(3), pp.765~777 (2013)
- Friedlander, A., "Principles of textbook design for lowachieving middle-grade students", Proceedings of the International Conference on School Mathematics Textbooks (ICSMT 2011) (2011), East China Normal University
- Hazzan, O., "Reducing abstraction: The case of school mathematics", Educ. Stud. Math, 58(1), pp.101~119 (2005)
- Kline, M., "Why Johnny can't add: The failure of the New Math" (1974), Vintage Books
- "The value of mathematics" (2008)[URL]
- Ministry of Education in China, "Mathematics curriculum standards for senior high schools" (2013), Beijing Normal University Press
- Mitchelmore, M., "Abstraction in mathematics learning", Proceedings of the 28th international conference of the International Group for the Psychology of Mathematics Education, PME 28, pp.329~336 (2004), Bergen University College
- Lisa O’Keeffe, "A ROLE FOR LANGUAGE ANALYSIS IN MATHEMATICS TEXTBOOK ANALYSIS", International Journal of Science and Mathematics Education, 13(3), pp.605~630 (2015), Springer Nature[DOI]
- O sterholm, M., "Characterizing reading comprehension of mathematical texts", Educ. Stud. Math, 63(3), pp.325~346 (2006)
- Raychaudhuri, D., "Adaptation and extension of the framework of reducing abstraction in the case of differential equations", Int. J. Math. Educ. Sci. Technol, 45(1), pp.35~57 (2014)
- Simon, M. A., "Explicating the role of mathematical tasks in conceptual learning: an elaboration of the hypothetical learning trajectory", Math. Think. Learn, 6(2), pp.91~104 (2004)
- Song, N., "Re-visiting prioritize the essence of mathematics while de-focalize the presentation of forms", Journal of Mathematics Education, 2, pp.15~18 (1996)
- Steen, L. A., "On the shoulders of giants: new approaches to numeracy" (1990), National Academy Press
- The GX experiment group, "Theory and practice of the GX experiment" (1998), Southwest Normal University Press
- Usiskin, Z., "Studying textbooks in an information age-a United States perspective", ZDM, Int. J. Math. Educ, 45(5), pp.713~723 (2013)
- Van Heijenoort, J., "From Frege to Godel: a source book in mathematical logic, 1879-1931" (1967), Harvard University Press
- Weinberg, A., "Understanding mathematics textbooks through reader-oriented theory", Educ. Stud. Math, 76(1), pp.49~63 (2011)
- Zeng, T., "On the application of the GX principles in teaching of history", Bulletin of Mathematics Teaching, 3, pp.3~6 (1997)
- Zeng, J., "The GX textbook brings about a new situation to quality-oriented education", Bulletin of Mathematics Teaching, 6, pp.5~7 (1997)
- Zhang, D., "Prospects on mathematics education reform in the 21th century" (1998), Beijing Normal University Press
- Zhang, T., "The GX experimental study on mathematics teaching in high school", Journal of Southwest Normal University (Natural Science Version), 2, pp.581~584 (2005)
- Zhang, Y., "Review and prospects on the GX experiment" (2011), Southwest University Press