DOI QR코드

DOI QR Code

Senior Secondary School Students' Epistemological Conceptions of Mathematics in China: Characteristics and Development Process

  • Yang, Xinrong (School of Mathematics and Statistics, Southwest University)
  • 투고 : 2013.04.21
  • 심사 : 2013.06.20
  • 발행 : 2013.06.30

초록

This paper reports findings from a survey of senior secondary school students' epistemological conceptions of mathematics with the adaption of the instrument of the "Conceptions of Mathematics" - Inventory in China. The survey included a sample of 414 Grade 10 students, 441 Grade 11 students, and 400 Grade 12 students from three provinces. Descriptive statistics, one-way ANOVA, and T-test were employed to analyze data in this study. It was found that senior secondary school students mainly focused on objectivity and reality of mathematics, without highlighting the characteristics of sociality, subjectivity, and creativity of mathematics. In addition, besides gender differences, differences were identified among students from different grades, different areas, taught by teachers with different teaching experience and experience in using reformed curriculum.

키워드

참고문헌

  1. Buehl, M. M. & Alexander, P. A. (2005). Motivation and performance differences in students' do-main-specific epistemological belief profiles. American Education Research Journal 42(4), 697-726. ERIC EJ737136 https://doi.org/10.3102/00028312042004697
  2. Buehl, M. M. & Alexander, P. A. (2006). Examining the dual nature of epistemological beliefs. International Journal of Educational Research 45(1), 28-42. ERIC EJ746403 https://doi.org/10.1016/j.ijer.2006.08.007
  3. Chai, C. Deng, F. & Tsai, C. (2012). A comparison of scientific epistemological views between mainland China and Taiwan high school students. Asia Pacific Education Review 13(1), 17-26. ERIC EJ746403 https://doi.org/10.1007/s12564-011-9174-9
  4. Cobb, P. (1996). Where is the mind? A coordination of sociocultural and cognitive constructivist perspectives. In: C. T. Fosnot (Ed.), Constructivism: Theory, perspectives, and practice (pp. 34-52). New York: Teachers College Press.
  5. Colby, G. T. (2007). Stuents' epistemological beliefs of mathematics when taught using traditional versus refom curricula in rural maine high schools. Unpublished Ph.D. Thesis. Orono, Maine: University of Maine.
  6. Grouws, D. (1994). Conceptions of Mathematics Inventory. Iowa City, IA: University of Iowa.
  7. Guo, G., & Song, X. (2008). Contrast study on "problem-using teaching" in mathematics classroom between "novice-practitioner-expert" teachers (in Chinese). J. Math. Educ. (Tianjin) 17(2), 51-54. ME 2008e.00163
  8. Hofer, B. K. (2000). Dimensionality and disciplinary differences in personal epistemology. Contempary Educational Psychology 25(4), 378-405. https://doi.org/10.1006/ceps.1999.1026
  9. Hofer, B. K. & Pintrich, P. R. (1997). The development of epistemological theories: Beliefs about knowledge and knowing and their relation to learning. Review of Educational Research 67(1), 88-140. ERIC EJ548329 https://doi.org/10.3102/00346543067001088
  10. Li, S.; Huang, R. & Shin, H. (2008). Discipline knowledge preparation for prospective secondary mathematics teachers: An East Asian perspective. In: P. Sullivan & T. Wood (Eds.), Knowledge and beliefs in mathematics teaching and teaching development. Volume 1. The international handbook of mathematics teacher education (pp. 63-86). Rotterdam, Netherlands: Sense Publisher.
  11. Lian, R. (2008). Mental experience of teachers' teaching expertise development. Educational Research 2008(2), 15-20.
  12. Liu, P. (2010). Are beliefs believable? An investigation of college students' epistemological beliefs and behavior in mathematics. J. Math. Behav. 29(2), 86-98. ME 2011f.00179 https://doi.org/10.1016/j.jmathb.2010.05.001
  13. Lodewyk, K. R. (2007). Relations among epistemological beliefs, academic achievement, and task performance in secondary school students. Educational Psychology 27(3), 307-327. ERIC EJ765930 https://doi.org/10.1080/01443410601104080
  14. Ministry of Education (2003). Mathematics curriculum standard for full-time senior secondary schools (Experimental draft) (in Chinese). Beijing: People's Education Press.
  15. Muis, K. R. (2004). Personal epistemology and mathematics: A critical review and synthesis of research. Review of Educational Research 74(3), 317-377. ERIC EJ727487 https://doi.org/10.3102/00346543074003317
  16. Schommer, M. (1990). Effects of beliefs about the nature of knowledge on comprehension. Journal of Educational Psychology 82(3), 498-504. https://doi.org/10.1037/0022-0663.82.3.498
  17. Schommer, M.(1993). Epistemological Development and Academic Performance Among Secondary Students. Journal of Educational Psychology 85(3), 406-411. ERIC EJ473765 https://doi.org/10.1037/0022-0663.85.3.406
  18. Schommer, M. (1994). Synthesizing epistemological belief research: Tentative understandings and provocative confusions. Educational Psychology Review 6(4), 293-319. https://doi.org/10.1007/BF02213418
  19. Schommer-Aikins, M.; Duell, O. K. & Hutter, R. (2005). Epistemological beliefs, mathematical problem-solving beliefs, and academic performance of middle school students. Elementary School Journal 105(3), 289-304. ERIC EJ696847 https://doi.org/10.1086/428745
  20. Sun, M. & Xie, H. (2004). Comparative study between mathematics rurriculum standard and mathematics syllabus for high school. J. Math. Educ. (Tianjin) 13(1), 63-66.
  21. Sutherland, D., & Dennick, R. (2002). Exploring culture, language and the perception of the nature of science. International Journal of Science Education 24(1), 1-25. ERIC EJ643847 https://doi.org/10.1080/09500690110067011
  22. Star, J. R. & Jansen Hoffmann, A. (2005). Assessing the impact of standards-based curricula: In-vestigating students' epistemological conceptions of mathematics. Math. Educ. (Athens) 15(2), 25-34. ME 2006b.00964
  23. Zhang, D.; Li, S. & Tang, R. (2004). The "two basics": Mathematics teaching and learning in mainland China. In: L. Fan, N. Wong, J. Cai & S. Li (Eds.), How Chinese learn mathematics: Perspectives from insiders (pp. 189-207). Singapore: World Scientific. ME 2006c.01559
  24. Zheng, Y. (2006). Mathematics education in China: From a cultural perspective. In: F. K. S. Leung, K.-D. Graf & F. Lopez-Real (Eds.), Mathematics education in different cultural traditions. A comparative study of East Asia and the West (pp. 382-390). New York: Springer. ME 2008a.00014