INSTRUCTIONAL COHERENCE IN CHINESE MATHEMATICS CLASSROOM—A CASE STUDY OF LESSONS ON FRACTION DIVISION
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In this study, we examined the instructional coherence in a Chinese mathematics classroom by analyzing a sequence of four videotaped lessons on the topic of fraction division. Our analysis focused on the characteristics of instructional coherence both within and across individual lessons. A framework was developed to focus on lesson instruction in terms of its content and process and the teacher's use of classroom discourse. The analyses of lesson instruction were further supplemented with the analyses of teaching materials and interviews with the teacher. The findings go beyond previous studies that mainly focused on a single lesson to provide further evidence about Chinese teachers' instructional practices and their possible impact on students' learning. In particular, the teacher tried to help students build knowledge connections and coherence through lesson instruction. Results also suggest that coherent curriculum and the teacher's perception of the knowledge coherence facilitated the teacher's construction of coherent classroom instruction.
Key wordsChinese classroom classroom instruction fraction division instructional coherence lesson structure mathematics classroom
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- Armstrong, B. E., & Bezuk, N. (1995). Multiplication and division of fractions: The search for meaning. In J. Sowder & B. P. Schappelle (Eds.), Providing a foundation for teaching mathematics in the middle grades (pp. 85–120). New York: SUNY.Google Scholar
- Baranes, R. (1990). Factors influencing children's comprehension of a mathematics lesson. Unpublished doctoral dissertation, University of Chicago.Google Scholar
- Finley, S. (2000). Instructional coherence: The changing role of the teacher. Retrieved March 23, 2008, from http://www.sedl.org/pubs/catalog/items/teaching99.html.
- Hiebert, J., Gallimore, R., Garnier, H., Giwin, K. B., Hollingsworth, H., Jacobs, J., et al. (2003). Teaching mathematics in seven countries: Results from the TIMSS 1999 video study. Washington: U. S. Department of Education, National Center for Education Statistics.Google Scholar
- Jiangsu Province Research Group for Elementary and Middle School Mathematics Teaching. (2001a). Shuxue, dishiyice [Mathematics Vol. 11]. Jiangsu: Jiangsu Educational Publisher.Google Scholar
- Jiangsu Province Research Group for Elementary and Middle School Mathematics Teaching. (2001b). Jiaoshi Zhidao Yongshu, dishiyice [Mathematics teacher's guidebook 11]. Jiangsu: Jiangsu Educational Publisher.Google Scholar
- Li, Y. (2008). What do students need to learn about division of fractions? Mathematics Teaching in the Middle School, 13, 546–552.Google Scholar
- Li, Y., & Chen, X. (2009). Lesson instruction to develop students' conceptual understanding with mandatory curriculum as a context. Paper presented at the Research Pre-session of National Council of Teachers of Mathematics Annual Meeting, Washington, DC, April 20–22.Google Scholar
- Ma, L. (1999). Knowing and teaching elementary mathematics. Mahwah: Lawrence Erlbaum.Google Scholar
- Mullis, I. V. S., Martin, M. O., Gonzalez, E. J., & Chrostowski, S. J. (2004). Findings from IEA's trends in international mathematics and science study at the fourth and eighth grades. Chestnut Hill: TIMSS & PIRLS International Study Center, Boston College.Google Scholar
- National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston: NCTM.Google Scholar
- Robitaille, D. F., & Garden, R. A. (1989). The IEA study of mathematics II: Contexts and outcomes of school mathematics. New York: Pergamon.Google Scholar
- Schmidt, W., Houang, R., & Cogan, L. (2002). A coherent curriculum: The case of mathematics. American Educator, 26(2), 10–26. Retrieved July 19, 2007, from http://www.aft.org/pubs-reports/american_educator/summer2002/curriculum.pdf.Google Scholar
- Segiguchi, Y. (2006). Coherence of mathematics lessons in Japanese eighth-grade classrooms. Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education, Prague, Czech Republic, 5, pp. 81–88.Google Scholar
- Shimizu, Y. (2004). How do you conclude today's lesson? The form and functions of “matome” in mathematics lesson. Paper presented at the annual meeting of the American Educational Research Association, San Diego. Retrieved March 11, 2008, from http://extranet.edfac.unimelb.edu.au/DSME/lps/assets/YS_SummingUp.pdf.
- Shimizu, Y. (2007). Explicit linking in the sequence of consecutive lessons in mathematics classroom in Japan. Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education, South Korea, 4, pp. 177–184.Google Scholar
- Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14.Google Scholar
- Shulman, L. S. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57(1), 1–22.Google Scholar
- Sinincrop, R., Mick, H. W., & Kolb, J. R. (2002). Interpretations of fraction division. In B. Litwiller & G. Bright (Eds.), Making sense of fractions, ratios, and proportions (pp. 153–161). Reston: NCTM.Google Scholar
- Sowder, J. T. (1995). Continuing the mathematical preparation of middle-grade teachers: An introduction. In J. T. Sowder & B. P. Schappelle (Eds.), Providing a foundation for teaching mathematics in the middle grades (pp. 1–11). New York: SUNY.Google Scholar
- Stein, N. L., & Glenn, C. G. (1982). Children's concept of time: The development of story schema. In W. J. Friedman (Ed.), The developmental psychology of time (pp. 255–282). New York: Academic.Google Scholar
- Stevenson, H. W., & Stigler, J. W. (1992). The learning gap. New York: The Free Press.Google Scholar
- Stigler, J. W., & Hiebert, J. (1999). The teaching gap: Best ideas from the world's teachers for improving education in the classroom. New York: The Free Press.Google Scholar
- Tomlin, R. S., Forrest, L., Pu, M. M., & Kim, M. H. (1997). Discourse semantics. In T. A. van Dijk (Ed.), Discourse as structure and process (pp. 63–111). London: Sage.Google Scholar
- Trabasso, T., Secco, T., & van den Broek, P. (1984). Causal cohesion and story coherence. In H. Mandl, N. L. Stein & T. Trabasso (Eds.), Learning and comprehension of text (pp. 83–111). Hillsdale: Erlbaum.Google Scholar
- Wang, T., & Murphy, J. (2004). An examination of coherence in a Chinese mathematic classroom. In L. Fan, N. Wong, J. Cai & S. Li (Eds.), How Chinese learn mathematics (pp. 107–123). Danvers: World Scientific Publication.Google Scholar