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THE PRE-SERVICE SECONDARY TEACHERS' PRESCRIPTION FOR THE MIDDLE SCHOOL STUDENTS' ERRORS IN LINEAR FUNCTIONS

  • Received : 2015.08.03
  • Accepted : 2015.08.31
  • Published : 2015.08.31

Abstract

This study was subjected to 9th graders after making a conformity analysis about errors in function from a selected linear function domain learned in 8th grade, and using this we analyzed some errors learners have in the linear function domain. Learners showed the most deficiency in mastery of prerequisite facts concepts out of errors in linear functions and lack of skill in interpreting the content of the questions and technical errors occurred often as well. How the pre-service secondary school teachers prescribed these errors of linear function was analyzed from the point of problem solving strategies, accessing methods and whether or not the learner's error was used. Looking into the pre-service secondary teachers' prescription of the learners' errors in 3 fields, for the problem solving strategy a procedural strategy was used more than a conceptual strategy, and as for the accessing methods over 90% gave teacher led type explanations to the students. Also over 90% of pre-service secondary teachers did not use the learner's errors that turned up in problems.

Keywords

References

  1. Ball, D. L., Thames, M. H. & Phelps, G.(2008). Content Knowledge for Teaching: What Makes It Special?, Journal of Teacher education, 59(5), 389-407. https://doi.org/10.1177/0022487108324554
  2. Choi, S. H., (2007) Mathematics pedagogical content knowledge in accordance with the curriculum revision(PCK) research, Technical report 2007-3-2, Seoul: Korea Institute for Curriculum and evaluation
  3. Eisenberg, T. (1992). On the development of a sense for function., In E. Dubinsky & Harel(Eds.), The concept of function: Aspects of epistemology and pedagogy(pp. 153-154). MAA Notes and Report Series. U.S.A.: Mathematical Association of America.
  4. Fuson, K. C., Briars, D. J. (1990). Base-ten blocks as a rst- and second-grade learn-ing/teaching approach for multidigit addition and subtraction and place-value concepts, Journal for Research in Mathematics Education, 21, 180-206. https://doi.org/10.2307/749373
  5. Grossman, P.L.(1990). The making of a teacher: Teacher knowledge and teacher education, New York: Teachers College Press.
  6. Hamely, H.R.,(1934). Relational and functional thinking in mathematics, The National Council of Teachers of mathematics,
  7. Hiebert, J., & Wearne, D. (1996). Instruction, understanding, and skill in multidigit addition and subtraction, Cognition and Instruction, 14, 251-283. https://doi.org/10.1207/s1532690xci1403_1
  8. Joo, S. H., Lee, S. Y., Kim, H. U., Lee, G. H., Lee, M. H. (1999). Observing Classroom Lesson and Analysis, Seoul:Wonmisa
  9. Marks, R. (1990). Pedagogical content knowledge : From a mathematical case to a modified conception, Journal of teacher education, 41(3), 3-11. https://doi.org/10.1177/002248719004100302
  10. Lee, K. D. (2003). A Study on the analysis of errors on the graphic of quadratic function and the correction applying Excel, Major in Mathematics Education Graduate School of Education, Korea National University of Education.
  11. Lee, Y. H., and Park, J. H., (2011). A study of Mathematics Teacher's PCK with Respect to Students' Misconceptions and Errors, Journal of research in curriculum institution Vol. 15 No. 1, 223-242. https://doi.org/10.24231/rici.2011.15.1.223
  12. Marks, R. (1990). Pedagogical content knowledge : From a mathematical case to a modified conception, Journal of teacher education, 41(3), 3-11. https://doi.org/10.1177/002248719004100302
  13. Nitsa Movschovitz-Hardar & Orit Zaslavsky. (1987). An Empirical Calssi cation Model for errors in high school mathematics, Journal for Research in Mathematics Education. Vol 18, No 1, 3-14 https://doi.org/10.2307/749532
  14. Oh, J. H., (1996). The Study on Mathematical errors in the function in the secondary school, Mathematics Education Major, The Graduate School of Education, EwhaWomen University.
  15. Shin, I. S., (1996). A Study on Misconceptions an Errors of Function in Secondary School Students, Major in Mathematics Education Graduate School of Education, Korea National University of Education.
  16. Shulman, L. S. (1986).Those who understand: Knowledge growth in teaching , Educational Researcher, 15(2), 4-14. https://doi.org/10.2307/1175860
  17. Son, J. (2013). How preservice teachers interpret and respond to student errors: ratio and proportion in similar rectangles, Educational Studies in Mathematics, 84(1), 49-70. https://doi.org/10.1007/s10649-013-9475-5
  18. Son, J. & Sinclair, N. (2010). How preservice teachers interpret and respond to student geometric errors, School Science and Mathematics, 110(1), 31-46. https://doi.org/10.1111/j.1949-8594.2009.00005.x
  19. Song, K. Y. & Pang, J. S.(2012). Novice elementary teachers' knowledge of students' errors on plane gures, Journal of the Korean school mathematics society, Vol 15, No 3, 429-451.
  20. Sung, J.G. (2000). A Study on the analysis of errors on the graph of quadratic function, Major in Mathematics Education Graduate School of Education, Korea National University of Education.
  21. Tall, D. (2003). Advanced mathematical thinking,(translate by Lew, H. C and Cho, W. Y and Kim I. S), Seoul: Kyungmonsa. (Original work: Advanced mathematical thinking. published in 1991)
  22. Woo, J. H.(2011).Educational basics for the school mathematics,Seoul: Seoul national university publisher.