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http://dx.doi.org/10.7468/mathedu.2019.58.3.347

An analysis of preservice mathematics teachers' reading of curriculum materials: Focused on conditional probability  

Ku, Nayoung (Anyang Highschool)
Tak, Byungjoo (Jeonju National University of Education)
Choi, Inyong (Hansung Science Highschool)
Kang, Hyun-Young (Mokwon University)
Publication Information
The Mathematical Education / v.58, no.3, 2019 , pp. 347-365 More about this Journal
Abstract
It is important to pay attention to how teachers recognize and use curriculum materials in order to link written curriculum and enacted curriculum. In this study, 90 preservice mathematics teachers were surveyed to identify their perspective and reading of curriculum materials. Especially, we focused on the curriculum documents, textbooks, and teachers' guidebooks containing the concept of conditional probability which is addressed in highschool mathematics curriculum. The various misconceptions of conditional probability were reported in the many researches, and there are multiple methods to introduce conditional probability in mathematics classes. As a result, curriculum materials have some limits to be used as they are and considered to be reconstructable by participants, but their curriculum reading were mainly classified to be descriptive and evaluative, not to be interpretive. However, unlike curriculum documents, textbooks and teachers' guidebooks were partially interpreted by participants using their knowledge of conditional probability. The purpose of this study is to investigate the profession of mathematics teachers in terms of curriculum implementation. We expect that this study will provide a basic framework for analyzing mathematics teachers' works and suggest some implications for the professional development of mathematics teachers.
Keywords
curriculum material; curriculum reading; preservice teacher; conditional probability;
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1 Choppin, J. (2011). Learned adaptations: Teachers' understanding and use of curriculum resources. Journal of Mathematics Teacher Education, 14(5), 331-353.   DOI
2 Drake, C. (2006). Turning points: Using teachers' mathematics life stories to understand the implementation of mathematics education reform. Journal of Mathematics Teacher Education, 9(6), 579-608.   DOI
3 Earnest, D. & Amador, J. M. (2019). Lesson planimation: Prospective elementary teachers' interactions with mathematics curricula. Journal of Mathematics Teacher Education, 22(1), 37-68.   DOI
4 Fuentes, S. Q. & Ma, J. (2018). Promoting teacher learning: A framework for evaluating the educative features of mathematics curriculum materials. Journal of Mathematics Teacher Education, 1-35.
5 Gras, R., & Totohasina, A. (1995). Chronologie et causalite, conceptions sources d'obstacles epistemologiques a la notion de probabilite conditionnelle. Recherches en Didactique des Mathematiques, 15(1), 49-95.
6 Grossman, P. & Thompson, C. (2008). Learning from curriculum materials: Scaffolds for new teachers?. Teaching and Teacher Education, 24(8), 2014-2026.   DOI
7 Jeong, K. S. (2012). Study on the teachers' curriculum literacy. Journal of Curriculum Integration, 6(2), 109-132.
8 Kim, K. J. (2003). Role definitions and performance ability of elementary school teacher as a curriculum developer and operator. Journal of Educational Studies, 34(1), 145-161.
9 Kim, M. H. (2007). A critical review on the research of teachers' empowerment : Trends, prospect, and task. The Journal of Korean Teacher Education, 24(1), 31-53.   DOI
10 Kim, N. H., Chong, Y. O., Na, G. S., Lee, K. H., Lim, J. H., Park, K. M., Woo, J. H. (2006). Mathematics Education Research Methodology. Seoul: Kyungmoon.
11 Land, T. J, & Drake, C. (2014). Enhancing and enacting curricular progressions in elementary mathematics. Mathematical Thinking and Learning, 16(2), 109-134.   DOI
12 Land, T. J., Tyminski, A. M., & Drake, C. (2015). Examining pre-service elementary mathematics teachers' reading of educative curriculum materials. Teaching and Teacher Education, 51, 16-26.   DOI
13 Lee, J. Y. (2000). An Analysis of Teacher's Cognition on Textbook and its Practical Use(Master's thesis). Ewha Womans University, Seoul.
14 Lee, J. Y. (2005). (A)Study on the Understanding of Conditional Probability Concept(Master's thesis). Seoul National University, Seoul.
15 Lee, J. Y., Woo, J. H. (2009). A didactic analysis of conditional probability. The Journal of Educational Research in Mathematics, 19(2), 233-256.
16 Lee, J. Y., Choi, B. L., Kim, D. J., Han, D. H., Jeon, Y. J., Jang, H. S., …, Park, S. H. (2014). Probability and Statistics. Seoul: Chunjae.
17 Lee, K. H., Lee, E. J., & Park, M. S. (2016). Task modification and knowledge utilization by Korean prospective mathematics teachers. Pedagogical Research, 1(2), 54.
18 Lee, K. H., Lee, E. J., Park, M. M., Song, C. G. (2017). Secondary mathematics teachers' perspectives on didactic transposition described in reflective journal writing. The Journal of Educational Research in Mathematics, 27(3), 469-489.
19 Lee, K. J. (2005). The meaning of curriculum and the teacher's role focusing on the practical process of curriculum implementation. The Journal of Curriculum Studies, 23(3), 57-80.
20 Lee, K. S., Hwang, S. K., Kim, B. Y., Sim, S. Y., Wang, K. C., Song, K. S., ..., Kim, W. J. (2014). Probability and Statistics. Seoul: Mirae-n.
21 Lee, Y. M., Jo, S. Y., Jung, G. S. (2015). The suggestion for the domestic researches about the perspectives of curriculum implementation. The Journal of Curriculum Studies, 33(3), 79-100.   DOI
22 Lloyd, G. (2002). Mathematics teachers' beliefs and experiences with innovative curriculum materials. In G.C. Leder, Erkki Pehkonen, Gunter Torner(Eds.), Beliefs: A Hidden Variable in Mathematics Education? (pp. 149-159). Dordrecht:Springer.
23 Lloyd, G. M., & Behm, S. L. (2005). Preservice elementary teachers' analysis of mathematics instructional materials. Action in Teacher Education, 26(4), 48-62.   DOI
24 Nicol, C. C., & Crespo, S. M. (2006). Learning to teach with mathematics textbooks: How preservice teachers interpret and use curriculum materials. Educational Studies in Mathematics, 62(3), 331-355.   DOI
25 Paik, N. J. (2007). A Comparative study on the form of presentation of educational contents in the subject curriculum: With focus on Korean and American science curriculum(Life Science). The Journal of Curriculum Studies, 25(1), 129-159.   DOI
26 Paik, N. J. (2013). Teachers' interpretations of curriculum documents and curriculum potential. The Journal of Curriculum Studies, 31(3), 201-225.   DOI
27 Patton, M. Q. (2017). Qualitative Research and Evaluation Methods(Kim, J. H. et al.. Trans.). Seoul: Kyoyookbook. (Original work published in 2015).
28 Remillard, J. T. (1999). Curriculum materials in mathematics education reform: A framework for examining teachers' curriculum development. Curriculum Inquiry, 29(3), 315-342.   DOI
29 Remillard, J. T. (2005). Examining key concepts in research on teachers' use of mathematics curricula. Review of Educational Research, 75(2), 211-246.   DOI
30 Remillard, J. T. (2000). Can curriculum materials support teachers' learning? Two fourth-grade teachers' use of a new mathematics text. The Elementary School Journal, 100(4), 331-350.   DOI
31 Remillard, J. T., & Bryans, M. B. (2004). Teachers' orientations toward mathematics curriculum materials: Implications for teacher learning. Journal for Research in Mathematics Education, 35(5), 352-388.   DOI
32 Remillard, J. T., & Heck, D. J. (2014). Conceptualizing the curriculum enactment process in mathematics education. ZDM, 46(5), 705-718.   DOI
33 Remillard, J. T., Herbel-Eisenmann, B. A., & Lloyd, G. M. (Eds.). (2009). Mathematics Teachers at Work: Connecting Curriculum Materials and Classroom Instruction. New York: Routledge.
34 Seo, K. H. (2009). Teachers' experience of reconstructing national curriculum. The Journal of Curriculum Studies, 27(3), 159-189.   DOI
35 Shaughnessy, J. M. (1992). Research in probability and statistics: Reflections and directions. In D. A. Grouws (Eds.), Handbook of Research on Mathematics Teaching and Learning: A Project of the National Council of Teachers of Mathematics (pp. 465-494). New York, NY, England: Macmillan Publishing Co, Inc.
36 Sherin, M. G., & Drake, C. (2009). Curriculum strategy framework: Investigating patterns in teachers' use of a reform-based elementary mathematics curriculum. Journal of Curriculum Studies, 41(4), 467-500.   DOI
37 Son, J. W., Son, S. S. W., & Senk, S. L. (2014). Teachers' knowledge and the enacted mathematics curriculum. In Thompson, D. R, & Usiskin Z. (Eds.). Enacted Mathematics Curriculum: A Conceptual Framework and Research Needs (pp. 75-96). Charlotte: Information Age Publishing.
38 Tyminski, A. M., Land, T. J., & Drake, C. (2011). Elementary preservice teachers' critiques, comparisons, and preferences in examining standards-based curricular materials. North American Chapter of the International Group for the Psychology of Mathematics Education.
39 Snyder, J., Bolin, F., & Zumwalt, K. (1992). Curriculum implementation. Handbook of Research on Curriculum, 40(4), 402-435.
40 Thompson, D. R., & Senk, S. L. (2014). The same geometry textbook does not mean the same classroom enactment. ZDM, 46(5), 781-795   DOI
41 Woo, J. H. (2017). The Educational Foundations of School Mathematics. Seoul: Seoul National University Press.
42 Cho, C. M. (2010). A study on conditional probability. The Journal of Educational Research in Mathematics, 20(1), 1-20.
43 Brown, M., & Edelson, D. (2003). Teaching as design: Can we better understand the ways in which teachers use materials so we can better design materials to support their changes in practice. Evanston, IL: The Center for Learning Technologies in Urban Schools.
44 Ball, D. L., Hill, H. C., & Bass, H. (2005). Knowing mathematics for teaching: Who knows mathematics well enough to teach third grade, and how can we decide? American Educator, 29(1), 14-17, 20-22, 43-46.
45 Batanero, C. & Sanchez, E. (2005). What is the nature of High School Students' Conceptions and Misconceptions About Probability?. In Jones, G. A.(Eds.), Exploring probability in school (pp. 241-266). Boston: Springer.
46 Ben-Peretz, M. (1990). The teacher-curriculum encounter: Freeing teachers from the tyranny of texts. Albany: Suny Press.
47 Chval, K., Heck, D., Weiss, I., & Ziebarth, S. W. (Eds.). (2012). Approaches to studying the enacted mathematics curriculum. Charlotte: Information Age Publishing.