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Changing Aspect of Teacher and Student's Value in Mathematics Instruction

수학수업에서 나타나는 교사와 학생의 가치 변화 양상

  • Received : 2018.06.19
  • Accepted : 2018.07.27
  • Published : 2018.07.31

Abstract

The purpose of this study was to analyze changing aspect of teacher and student's value in mathematics instruction. For this purpose, teacher and student's value are analyzed through value questionnaire by four times. The results of this study revealed that although value are individual's deep decision mechanism, it could change considerably by the time. Teacher wasn't compel students to follow her value. Rather, teacher was modified instruction goal to reflect students thinking what is important in mathematics lesson. First, in case of mathematical value, rationalism, objectism, mystery were convergent each other. And control was almost unchanged and openness has been onwards and upwards. Second, in case of mathematics educational value, understanding, pleasure, terminology and application were convergent each other. However achievement was almost unchanged. Also, to teach effectively, teacher using several kinds strategy while negotiate with student's value continuously. On the basis of these results, this paper includes several implications for the future study about values in mathematics which could be the critical factor in student centered instruction.

본 연구는 교사와 학생의 가치의 변화 양상을 분석하기 위해 수학학습 가치 설문지를 활용하여 15차시 수업이 진행되는 과정에서 학생들과 교사의 가치를 4차에 걸쳐 분석하였다. 그 결과 가치는 개인이 수많은 경험을 거쳐 내면화된 깊이 있는 판단 양식임에도 불구하고 수업이 진행됨에 따라 많은 변화가 나타났다. 교사는 자신이 중요하게 생각하는 가치를 무조건 강요하기 보다는 학생들이 무엇을 중요하게 생각하는지를 반영하여 자신의 목표를 수정해 나갔다. 수학적 가치의 경우, 합리주의, 객관주의, 미스터리는 교사와 학생이 서로 수렴하였고, 통제는 일관되게 유지되었으며, 개방의 경우 교사와 학생모두 상향 하였다. 수학 교육적 가치의 경우에는 이해, 즐거움, 용어, 적용의 경우 서로 수렴하였고, 성취는 일관되게 유지되었다. 또한 교사는 효과적인 수업으로 나아가기 위해 끊임없이 학생과의 가치에 대해 협상해 가면서 몇 가지 전략을 사용했다. 이러한 연구 결과를 바탕으로 진정한 의미에서 학습자 중심수업으로 나아가기 위한 한 가지 방안으로 가치가 중요한 요인이 될 수 있다는 시사점을 제공하고자 하였다.

Keywords

References

  1. Kang, M. S., & Lee, G, H. (2016). An Analysis of Recognition in Mathematics Learning Value of Elementary School Students and Parents. School Mathematics, 18(3), 667-689.
  2. Kim, S. J, Kim, K, H., & Park, J, H. (2014). The effect of mathematics achievement on changes in mathematics interest and values for middle school students. Journal of Research in Curriculum & Instruction, 18(3), 683-701. https://doi.org/10.24231/rici.2014.18.3.683
  3. Ministry of Education. (1997). Korean national mathematics curriculum 1997-15.
  4. Kim, B. M. (2012). Instrument Development and Analysis of Secondary Students' Mathematical Beliefs. The journal of Eeducational Research in Mathematics, 22(2), 229-259.
  5. Kim, S. H. (2013). Many-sided Analysis on Korean Students' Affective Characteristics in Mathematical Learning. School Mathematics, 15(1), 61-75.
  6. Kim, S. J., Kim, H. K., Kim, S. H., Jin, E. N., Lee, M. J., & A, Y. K. (2012). National Comparative Analysis of Education Environment Change in Result of TIMSS. Korea Institute for Curriculum and Evaluation a Report of Research RRE 2012-4-1.
  7. Pang, J. S., & Cho, S. Y. (2016). An Investigation of What Korean Students Valued with regards to Mathematics and Mathematics Learning: A Study with Sixth and Ninth Graders. Mathematics Education, 55(4), 467-484. https://doi.org/10.7468/mathedu.2016.55.4.467
  8. Cho, S. Y. (2017). Analyzing Values of Students and Teachers in Mathematical Learning and Aspects of Instruction Considering Values. doctoral dissertation, Korea National University of Education Graduate School. Cheongju.
  9. Askew, M., Hodgen, J., Hossain, S., & Bretscher, N. (2010). Values and variables: Mathematics education in high-performing countries. London: Nuffield Foundation.
  10. Bishop, A. J. (1988). Mathematical enculturation: A cultural perspective on mathematics education. Dordrecht, The Netherlands: Kluwer Academic Publishers.
  11. Bishop, A. J. (1999). Educating student teachers about values in mathematics education. In F.-L. Lin (Ed.), Proceedings of the 1999 International Conference on Mathematics Teacher Education (Vol. 2, pp. 1-6). Taipei, ROC: National Taiwan Normal University.
  12. Bishop, A. J. (2008). Mathematics Teaching and Values Education - An Intersection in Need of Research. In Clarkson, P., & Presmeg, N. (Eds.), Critical Issues in Mathematics Education (pp. 231-238). Cham, Swizerland: Springer.
  13. Ernest, P. (1989). The knowledge, beliefs and attitudes of the mathematics teacher: A model. Journal of education for teaching, 15(1), 13-33. https://doi.org/10.1080/0260747890150102
  14. Hofstede, G. (1997). Cultures and organizations: Software of the mind (Rev. ed.). New York: McGraw-Hill.
  15. Raths, L. E., Harmin, M., & Simon, S. B. (1987). Selections from 'values and teaching'. In J. P.F. Carbone (Ed.), Value theory and education (pp. 198-214). Malabar, FL, USA: Robert E. Krieger.
  16. Seah, W. T. (2005). The negotiation of perceived value differences by immigrant teachers of mathematics in Australia. Unpublished PhD. dissertation, Monash University, Victoria, Australia.
  17. Seah, W. T., & Andersson, A. (2015). Valuing Diversity in Mathematics Pedagogy Through the Volitional Nature and Alignment of Values. In Bishop A., Tan H., & Barkatsas T. (eds), Diversity in Mathematics Education(pp 167-183). NY: Springer.
  18. White, L. A. (1959). The evolution of culture. New York: McGraw-Hill.