Research in Mathematical Education (한국수학교육학회지시리즈D:수학교육연구)

Korean Society of Mathematical Education (한국수학교육학회)
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Prospective Primary School Teachers Views on the Nature of Mathematics

  • Kang, Eun Kyung (Department of Mathematics and Science Education, University of Georgia)
  • Received : 2014.08.14
  • Accepted : 2014.11.29
  • Published : 2014.12.31
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Abstract

This paper examines and presents descriptions of 12 prospective primary teachers' views on the nature of mathematics in USA. All the participants were elementary teacher candidates enrolled in the same mathematics method courses. Interview data show that the prospective primary teachers possess two kinds of views on the nature of mathematics: primarily traditional and even mix of traditional and nontraditional beliefs in terms of Raymond's (1997) belief criteria. Implications for teacher education were discussed at the end of the paper.

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References

  1. Bahr, D.; Monroe, E. E. & Shaha, S. H. (2013). Examining preservice teacher belief changes in the context of coordinated mathematics methods coursework and classroom experiences. Sch. Sci. Math. 113(3), 114-155. ME 2014b.00145
  2. Ball, D. L.; Lubienski, S. T. & Mewborn, D. S. (2001). Research on teaching mathematics: The unsolved problem of teachers' mathematical knowledge. In: V. Richardson (Ed.), Handbook of research on teaching, 4th ed. (pp. 433-456). Washington, DC: American Educational Research Association.
  3. Benbow, R. M. (1993). Tracing mathematical beliefs of preservice teachers through integrated content-methods courses. Proceedings of the Annual Conference of the American Educational Research Association. (ERIC Document Reproduction Service No. ED 388638.)
  4. Common Core State Standards Initiative (2010). Common Core State Standards for Mathematics. Washington, DC: National Governors Association Center for Best Practices and the Council of Chief State School Officers. Retrieved from http://www.corestandards.org/
  5. Cross, D. I. (2009). Alignment, cohesion, and change: Examining mathematics teachers' belief structures and their influence on instructional practices. J. Math. Teach. Educ. 12(5), 325-346. ME 2010c.00117 https://doi.org/10.1007/s10857-009-9120-5
  6. DeVilliers, M. (1998). To teach definitions in geometry or teach to define? In: A. Olivier & K. Newstead (Eds.), Proceedings of the 22nd Annual Meeting of the International Group for the Psychology of Mathematics Education (PME 22), Vol. 2. (pp. 248-255). ME 1999a.00037
  7. Edwards, B. & Ward, M. (2008). The Role of Mathematical Definitions in Mathematics and in Undergraduate Mathematics Courses. In: M. Carlson & C. Rasmussen (Eds.), Making the Connection: Research and Teaching in Undergraduate Mathematics Education MAA Notes #73 (pp. 223-232). Washington, DC: Mathematics Association of America. ME 2012e.00515
  8. Eisenhart, M. A. (1988). The ethnographic research tradition and mathematics education research. J. Res. Math. Educ. 19(2), 99-114. ME 1988g.01872 https://doi.org/10.2307/749405
  9. Ernest, P. (1989). The impact of beliefs on the teaching of mathematics. In: P. Ernest (Ed.), Mathematics teaching: The state of the art (pp. 249-254). New York, NY: Falmer Press. ME 1989g.00248
  10. Gess-Newsome, J. (1999). Secondary teachers' knowledge and beliefs about subject matter and their impact on instruction. In: J. Gess-Newsome & N. G. Lederman (Eds.), Pedagogical content knowledge and science education: The construct and its implications for science education (pp. 51-94). Dordrecht, Netherlands: Kluwer.
  11. Green, T. F. (1971). The activities of teaching. New York, NY: McGraw-Hill.
  12. Handal, B. (2003). Teachers' mathematical beliefs: A review. Math. Educ. (Athens) 13(2), 47-57. ME 2004b.01019
  13. Hersh, R. (1986). Some proposals for revising the philosophy of mathematics. An anthology. In: T. Tymoczko (Ed.), New directions in the philosophy of mathematics (pp.9-28). Boston, MA: Birkhauser. ME 1986j.07454
  14. Hollingsworth, S. (1989). Prior beliefs and cognitive change in learning to teach. American Educational Research Journal 26, 160-189. https://doi.org/10.3102/00028312026002160
  15. Kagan, D. M. (1992). Implication of research on teacher belief. Educational psychologist 27(1), 65-90. https://doi.org/10.1207/s15326985ep2701_6
  16. Kilpatrick, J. (2009). The mathematics teacher and curriculum change. PNA 3(3), 107-121. ME 2009d.00200
  17. Konig, J. (2012). Teachers' pedagogical beliefs: Current and future research. In: J. Konig (Ed.), Teachers' pedagogical beliefs (pp. 7-12). Berlin, Germany: Waxmann Verlag. Retrieved from: https://play.google.com/books/reader?id=MYyRBYGIYTQC&printsec=frontcover&output=reader&authuser=0&hl=en&pg=GBS.PA3
  18. Lortie, D. (1975). Schoolteacher: A sociological study. Chicago, IL: University of Chicago Press.
  19. Mewborn, D. S. & Stinson, D. W. (2007). Teacher education as assisted performance. Teachers College Record 109(6), 1457-1487.
  20. Nisbet, S. & Warren, E. (2000). Primary school teachers' beliefs relating to mathematics teaching and assessing mathematics and factors that influence these beliefs. Math. Teach. Educ. Dev. 2, 34-47. ME 2001c.02195
  21. Pajares, M. F (1992). Teachers' beliefs and educational research: Cleaning up a messy construct. Review of Educational Research 62, 307-332. https://doi.org/10.3102/00346543062003307
  22. Philipp, R. A. (2007). Mathematics teachers' beliefs and affect. In: F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 257-315). Charlotte, NC: Information Age Publishing (IAP). ME 06332594
  23. Raymond, A. M. (1997). Inconsistency between a beginning elementary school teacher 's mathematics beliefs and teaching practice. J. Res. Math. Educ. 28(5), 550-576. ME 1998c.01655 https://doi.org/10.2307/749691
  24. Skemp, R. R. (1976). Relational understanding and instrumental understanding. Mathematics Teaching 77, 20-26. ME 1979l.00120 for Arith. Teacher. (Nov 1978), 26(3), 9-15. Reprinted from Math. Teaching (Dec 1976).
  25. Spangler, D. A. (2011). Relationships between content knowledge, authority, teaching practice, and reflection. In: J. Luebeck & J. W. Lott (Eds.), Mathematics teaching: Putting research into practice at all levels (pp. 41-55). San Diego, CA: Association of Mathematics Teacher Educators.
  26. Spangler, D. A.; Sawyer, A. G.; Kang, E. K.; Kim, S. & Kim, B. (2012). Transition to teaching: Beliefs and other influences on practice. In: L. R. VanZoest, J.-J. Lo & J. L. Kratky (Eds.), Proceedings of the 34th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 753-756). Kalamazoo, MI: Western Michigan University.
  27. Stanic, G. M. A. & Kilpatrick, J. (1992). Mathematics curriculum reform in the United States: A historical perspective. Int. J. Educ. Res. 17(5), 407-417. ME 1993a.01860 https://doi.org/10.1016/S0883-0355(05)80002-3
  28. Stipek, D. J.; Givvin, K. B.; Salmon, J. M. & MacGyvers, V. L. (2001). Teachers' beliefs and practices related to mathematics instruction. Teaching and Teacher Education 17(2), 213-226. https://doi.org/10.1016/S0742-051X(00)00052-4
  29. Thompson, A. G. (1984). The relationship of teachers' conceptions of mathematics and mathematics teaching to instructional practice. Educ. Stud. Math. 15(2), 105-127. ME 2006a.00138 for In: Thomas P. Carpenter et al. (Eds. 2004), Classics in mathematics education research (pp. 173-184). Reston, VA: National Council of Teachers of Mathematics (NCTM). ME 2007c.00144 for In: Barbara Allen et al. (Eds. 2004), Mathematics education (pp. 175-194). London: Routledge Falmer Ltd. https://doi.org/10.1007/BF00305892
  30. Weinstein, C. S. (1990). Prospective elementary teachers' beliefs about teaching: Implications for teacher education. Teaching and Teacher Education 6(3), 279-290. https://doi.org/10.1016/0742-051X(90)90019-2
  31. Vinner, S. (1991). The role of definitions in the teaching and learning of mathematics. In: D. Tall (Ed.), Advanced Mathematical Thinking, Mathematics Education Library 11 (pp. 65-81). Dordrecht: Kluwer Academics Publisher. ME 1993b.02231
  32. Zeichner, K. M. (1983). Alternative paradigms of teacher education. Journal of Teacher Education 34(3), 3-9. https://doi.org/10.1177/002248718303400302
  33. Zeichner, K. M. & Gore, J. M. (1990). Teacher socialization. In: W. R. Houston (Ed.), Handbook of research on teacher education (pp. 329-348). New York: Macmillan.