본문 바로가기
KERD
논문KCI 등재

A method to overcome the double discontinuity of pre service mathematics teachers: Focusing on didactic transpositions

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

초록

Pre-service mathematics teachers who entered the College of Education experienced a disconnection between higher mathematics and school mathematics. Moreover, in-service mathematics teachers also experienced the disconnections in teaching school mathematics after graduating the university. These disconnections have been recognized as an issue for a very long time since Klein called it as double discontinuity in 1908. This study attempted a pedagogical approach to overcome the double discontinuity problem of pre-service mathematics teachers. According to the results of this study, pre-service mathematics teachers basically tried didactic transpositions based on textbooks in the pre-assignment. After the project, pre-service mathematics teachers attempted to make additional didactic transpositions based on the differences they recognized through project activities comparing the content between university mathematics and school mathematics. In addition, through teachers' impressions, it was confirmed that this project helped resolve the double disconnection that teachers were experiencing. Implications based on the findings were discussed.

Abstract

Pre-service mathematics teachers who entered the College of Education experienced a disconnection between higher mathematics and school mathematics. Moreover, in-service mathematics teachers also experienced the disconnections in teaching school mathematics after graduating the university. These disconnections have been recognized as an issue for a very long time since Klein called it as double discontinuity in 1908. This study attempted a pedagogical approach to overcome the double discontinuity problem of pre-service mathematics teachers. According to the results of this study, pre-service mathematics teachers basically tried didactic transpositions based on textbooks in the pre-assignment. After the project, pre-service mathematics teachers attempted to make additional didactic transpositions based on the differences they recognized through project activities comparing the content between university mathematics and school mathematics. In addition, through teachers' impressions, it was confirmed that this project helped resolve the double disconnection that teachers were experiencing. Implications based on the findings were discussed.

참고문헌 (32)

  1. Ambussaidi, I., "The impact of mathematics teacher quality on student achievement in Oman and Taiwan", International Journal of Education and Learning, 1(2), pp.50~62 (2019)[DOI]
  2. Bauer, T., "Schnittstellenmodule in der lehramtsausbildung im fach mathematik", Mathematische Semesterberichte, 56, pp.85~103 (2009)[DOI]
  3. Chevallard, Y., "La transposition didactique: du savoir savant au savoir enseigné" (1985), La Pensée Sauvage
  4. Chevallard, Y., "Encyclopedia of mathematics education", pp.214~218 (2020), Springer
  5. Creswell, J. W., "Qualitative inquiry and research design: Choosing among five approaches" (2018), SAGE
  6. Eichler, A., "Improving prospective teachers’ beliefs about a double discontinuity between school mathematics and university mathematics", Journal Für Mathematik-Didaktik, 44(1), pp.117~142 (2023)[DOI]
  7. Grenier-Boley, N., "How can university mathematics overcome Klein’s second discontinuity? Specific course design", ZDM–Mathematics Education, 56, pp.1459~1471 (2024)[DOI]
  8. Gueudet, G., "Transitions in mathematics education" (2016), Springer Nature
  9. Hefendehl-Hebeker, L., "Zur doppelten diskontinuität in der gymnasiallehrerbildung: ansätze zu verknüpfungen der fachinhaltlichen ausbildung mit schulischen vorerfahrungen und erfordernissen", pp.1~15 (2013), Springer Spektrum
  10. Hiebert, J., "Second handbook of research on mathematics teaching and learning", pp.371~404 (2007), Information Age
  11. Hill, H. C., "Effects of teachers’ mathematical knowledge for teaching on student achievement", American Educational Research Journal, 42(2), pp.371~406 (2005)[DOI]
  12. Hwang, H. J., "A study on development of pre-service program at college of education based on mathematics teacher's recognition", Journal of the Korean School Mathematics Society, 10(1), pp.1~25 (2007)
  13. Isaev, V., "Measuring beliefs concerning the double discontinuity in secondary teacher education", Proceedings of the tenth congress of the European society for research in mathematics education, pp.2916~2923 (2017), DCU Institute of Education and ERME
  14. Kaiser, G., "Transformation-A fundamental idea of mathematics education", pp.85~105 (2014), Springer New York
  15. Kang, Y. S., "An inquiry on the building process of pedagogical content knowledge of prospective mathematics teachers-centered at function concepts", The Mathematical Education, 45(2), pp.217~230 (2006)
  16. Kennedy, M. M., "Handbook of research on teacher education", pp.1247~1271 (2008), Routledge
  17. Kilpatrick, J., "The Legacy of Felix Klein", pp.215~226 (2019), Springer
  18. Klein, F., "Elementarmathematik vom höheren Standpunkte aus" (1932), Macmillan
  19. Klein, F., "Elementary mathematics from a higher standpoint (Vol. 1)" (2016), Springer
  20. Krauss, S., "Cognitive activation in the mathematics classroom and professional competence of teachers: Results from the COACTIV project", pp.147~174 (2013), Springer
  21. Kwon, S., "A Study on the didactic transposition of the pre-service elementary school teachers for mathematics instruction", Journal of the Korean School Mathematics Society, 22(4), pp.415~438 (2019)[DOI]
  22. Lee, J. H., "Analysis of the class on circumcenter of the beginning mathematics teacher from didactic transposition perspective", Proceedings of the 2013 Joint International Conference on Mathematics Education, 2013(2), pp.135~139 (2013)
  23. Lee, J. H., "Historical analysis of definition and proof conceptions in the transition from secondary to tertiary mathematics", Journal of Educational Research in Mathematics, 21(1), pp.57~65 (2011)
  24. Lee, K. H., "Secondary mathematics teachers’ perspectives on didactic transposition described in reflective journal writing", Journal of Educational Research in Mathematics, 27(3), pp.469~489 (2017)
  25. Lee, M. H., "Some suggestions of revising the university textbook to overcome the double discontinuity of pre-service mathematics teachers on functions", Teacher Education Research, 55(3), pp.327~338 (2016)[DOI]
  26. Liang, B., "Seeing the continuity behind"double discontinuity" : Investigating Hong Kong prospective mathematics teachers’ secondary–tertiary transition", Educational Studies in Mathematics, 113(1), pp.107~124 (2023)[DOI]
  27. Østergaard, K., "Theory and practice in mathematics teacher education", Proceedings of the IVth international congress on the anthropological theory of didactics (ATD), pp.899~918 (2013)
  28. Park, K., "A meta review of the researches on PCK in mathematics", The Mathematical Education, 48(1), pp.93~105 (2009)
  29. Tesch, R., "Qualitative research: Analysis types and software" (2013), Routledge
  30. Wang, J., "Quality teaching and teacher education : A kaleidoscope of notions", Journal of Teacher Education, 62(4), pp.331~338 (2011)[DOI]
  31. Winsløw, C., "Klein’s double discontinuity revisited", Recherches en Didactique des Mathématiques, 34(1), pp.59~86 (2014)
  32. Yang, S. A., "Secondary teachers’ advanced knowledge for teaching algebra", School Mathematics, 21(2), pp.419~439 (2019)[DOI]

관련 논문AI추천

이 간행물의 다른 논문 (5건)