Abstract
The purpose of this case study was to investigate the values demonstrated by an elementary school teacher in her mathematics teaching and what values her students perceived. This research adopted the valuing theory (Raths, Harmin & Simon, 1987) and used classroom observations and interviews to document the teacher’s mathematics pedagogical values and a questionnaire, interviews, and instructional artifacts to document the students’ perceptions of these values. The results of this research identified two educational values and three mathematics pedagogical values that were influenced by the teacher’s personal beliefs about Buddhism, Confucianism, and curriculum. Her goals for education were to reinstate the students’ original enlightenment and the students’ respect for ethics and experts when dealing with people and life; and her values about mathematics learning were that it depends on individual efforts and personal understanding, her central purposes for teaching were to make students understand the mathematics content and to cultivate their problem-solving methods, and her purposes for evaluation were to understand students’ learning and to encourage students to correct their errors. The students’ awareness of these goals and values did not parallel the teacher’s personal priorities. The implications of teachers’ pedagogical values on teacher professional development and curriculum reform are discussed.
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References
Bishop, A.J. (1988). Mathematical enculturation: A cultural perspective in mathematics education. Dordrecht, The Netherlands: Kluwer Academic Publishers.
Bishop, A.J. (1991). Mathematical values in the teaching process. In Bishop et al. (Eds.), Mathematical knowledge: Its growth through teaching (pp. 195–214). Dordrecht, The Netherlands: Kluwer Academic Publishers.
Bishop, A.J. (2001). Educating student teachers about values in mathematics education. In Lin & Cooney (Eds.), Making sense of mathematics teacher education (pp. 233–246). Dordrecht, The Netherlands: Kluwer Academic Publishers.
Bishop, A.J., Clarkson, P.C., FitzSimons, G.E. & Seah, W.T. (2000). Why study values in mathematics teaching: Contextualising the VAMP project? In Proceedings of the HPM 2000 Conference on History in Mathematics Education: Challenges for a New Millennium, Vol. 2 (pp. 147–154). Taipei, Taiwan: National Taiwan Normal University.
Carter, G. & Norwood, K.S. (1997). The relationship between teacher and student beliefs about mathematics. School Science and Mathematics, 97(2), 62–67.
Chang, C.K. (2000). Score-ism as their pedagogical value of two junior high mathematics teachers. In Proceedings of the HPM 2000 Conference on History in Mathematics Education: Challenges for a New Millennium, Vol. 2 (pp. 172–177). Taipei, Taiwan: National Taiwan Normal University.
Chang, D.C. (n.d.). Mathematics education with fine quality: Set a firm base and enhance creativity (in Chinese). Resource: www.schoolnet.edu.mo/msnvc/vc013/b16.htm
Chen, J.K. (2002). Sixth graders’ perception of teachers’ pedagogical assessment in mathematics. Unpublished master’s thesis, National Taipei Teachers College, Graduate School of Mathematics and Science Education, Taipei, Taiwan, ROC.
Chen, H.L. & Chou, L.S. (1999). Research on elementary teachers in mathematics teaching beliefs and related topics. Curriculum and Instruction, 49–68 (in Chinese).
Chin, C. (1995). Mathematics teachers’ beliefs, their classroom practices and influences on student learning: Four case studies. Unpublished doctoral dissertation, University of Cambridge, Cambridge, UK.
Chin, C., Leu, Y.C. & Lin, F.L. (2001). Pedagogical values, mathematics teaching and teacher education: A case study of two experienced teachers. In Lin & Cooney (Eds.), Making sense of mathematics teacher education (pp. 247–269). Dordrecht, The Netherlands: Kluwer Academic Publishers.
Chin, C. & Lin, F.L. (1999). One mathematics teacher’s pedagogical values: Intended, implemented, and self phases. In Proceedings of the 1999 International Conference on Mathematics Teacher Education (pp. 315–325). Taipei, Taiwan: National Taiwan Normal University.
Cooney, T.J. (2001). Considering the paradoxes, perils, and purposes of conceptualizing teacher development. In Lin & Cooney (Eds.), Making sense of mathematics teacher education (pp. 9–31). Dordrecht, The Netherlands: Kluwer Academic Publishers.
Creswell, J.W. (1998). Qualitative inquiry and research design: Choosing among five traditions. Thousand Oaks, CA: Sage.
Eson, M.E. (Ed.) (1964). Psychological foundations of education. New York: Holt, Rinehart and Winston.
Fennema, E., Carpenter, T.P. & Peterson, P.L. (1989). Learning mathematics with understanding: Cognitively guided instruction. In Brophy (Ed.), Advances in research on teaching (pp. 194–221). Greenwich, CT: JAI Press.
Frondizi, R. (Ed.) (1970). What is value? An introduction to axiology. Buenos Aires: Open Court Publishing Company.
Huang, K.K. (1994). Self-realization and value change in Chinese society. In Yang (Ed.), Chinese value – from the sociological view (pp. 121–172) (in Chinese). Taipei, Taiwan: Laureate Publishers.
Jones, J.M. (1993). Psychosocial aspects of cultural influences on learning mathematics and science. In Penner, Batsche, Knoff & Nelson (Eds.), The challenge in mathematics and science education (pp. 205–235). Washington, DC: American Psychological Association.
Lester, F.K. Jr. & Wiliam, D. (2000). The evidence basis for knowledge claims in mathematics education research. Journal for Research in Mathematics Education, 31, 132–137.
Leu, Y.C. & Wu, C.J. (2002). The origins of pupils’ awareness of teachers’ mathematics pedagogical values: Confucianism and Buddhism-driven. In Proceedings of the Comparative Study Conference of the International Commission on Mathematical Instruction. Hong Kong (pp. 49–56).
Leu, Y.C., Wu, Y.Y. & Wu, C.J. (1999). A Buddhistic value in an elementary mathematics classroom. In Proceedings of the 23rd Conference of the International Group for the Psychology of Mathematics Education, Vol. 3 (pp. 233–240). Haifa, Israel.
Midgley, C., Feldlaufer, H. & Eccles, J.S. (1989). Change in teacher efficacy and student self- and task-related beliefs in mathematics during the transition to junior high school. Journal of Educational Psychology, 81(2), 247–258.
Ministry of Education of Taiwan (MET) (1993). Curriculum standards for national elementary school in Taiwan (in Chinese).
National Council of Teachers of Mathematics (NCTM) (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: The Council.
Pajares, M.F. (1992). Teachers’ beliefs and educational research: Cleaning up a messy construct. Review of Educational Research, 62(3), 307–332.
Peterson, P.L., Fennema, E., Carpenter, T.P. & Loef, M. (1989). Teachers’ pedagogical content beliefs in mathematics. Cognition and Instruction, 6, 1–40.
Raths, L.E., Harmin, M. & Simon, S.B. (1987). Selections from values and teaching. In Carbone (Ed.), Value theory and education (pp. 198–214). Melbourne, FL: Krieger.
Raymond, A.M. (1997). Inconsistency between a beginning elementary school teacher’s mathematics beliefs and teaching practice. Journal for Research in Mathematics Education, 28(5), 550–576.
Scheffler, I. (1965). Conditions of knowledge. Chicago, IL: Scott Foresman.
Swadener, M. & Soedjadi, R. (1988). Values, mathematics education, and the task of developing pupils’ personalities: An Indonesian perspective. Educational Studies in Mathematics, 19, 193–208.
Thompson, A.G. (1992). Teachers’ beliefs and conceptions: A synthesis of the research. In Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 127–146). New York, NY: Macmillan Publishing Company.
Tye, B.B. (2000). Hard truths: Uncovering the deep structure of schooling. New York: Teachers College Press.
Wen, S.C. (2000). The consistency and inconsistency of an elementary school teacher’s mathematics beliefs and teaching practice. Unpublished master’s thesis, National Taipei Teachers College, Graduate School of Mathematics and Science Education, Taipei, Taiwan, ROC.
Wong, N.T. (1996). Students’ perceptions of the mathematics classroom in Hong Kong. Hiroshima Journal of Mathematics Education, 4, 89–107.
Wong, N.T. (2002). From “Entering the way” to “Exiting the way”: In search of a bridge over “Basic skills” and “Process abilities.” In Proceedings of the Comparative Study Conference of the International Commission on Mathematical Instruction (pp. 167–174). Hong Kong.
Yang, K.S. (1994). Can both traditional and contemporary value exist at the same time? In Yang (Ed.), Chinese value – from the sociological view (in Chinese). Taipei, Taiwan: Laureate Publishers.
Yore, L.D. (2003). Quality science and mathematics education research: Considerations of argument, evidence and generalizability. School Science and Mathematics, 103, 1–7.
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Leu, YC. The Enactment and Perception of Mathematics Pedagogical Values in an Elementary Classroom: Buddhism, Confucianism, and Curriculum Reform. Int J Sci Math Educ 3, 175–212 (2005). https://doi.org/10.1007/s10763-004-3371-5
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DOI: https://doi.org/10.1007/s10763-004-3371-5