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Examining Design Transparency in Elementary Mathematics Curriculum Materials

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Elementary Mathematics Curriculum Materials

Abstract

To support teachers in understanding the design of their curriculum program and effectively transforming the written lesson as they enact it with their students, some curriculum authors have taken up recommendations to add transparency to their curriculum materials. Our analysis characterizes the different ways the authors of five elementary mathematics curriculum programs make design decisions transparent to teachers and the frequency, regularity, and depth of this support. We found that authors provided rationale for the design of the curriculum in varied and limited ways. While four of the five programs regularly communicated the purpose of instructional activities, they seldom elaborated why these particular activities or actions were appropriate or effective for serving these purposes. The authors of three of the programs provided storyline support aimed at helping teachers understand how the curriculum developed across time, most often making explicit connections across lessons and units. The depth of these connections, however, varied considerably, and authors rarely went so far as to explain how teachers might leverage these connections during instruction. Through analysis and illustrative examples, the chapter illuminates the possibilities for future design and research.

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Notes

  1. 1.

    The five programs are Everyday Mathematics (EM), Investigations in Number, Data, and Space (INV), Math in Focus (MIF), Math Trailblazers (MTB), and Scott Foresman–Addison Wesley Mathematics (SFAW). See Chap. 1 for details about the programs.

  2. 2.

    See Chap. 1 for details about the project.

References

  • Arias, A. M., Bismack, A. S., Davis, E. A., & Palincsar, A. S. (2016). Interacting with a suite of educative features: Elementary science teachers’ use of educative curriculum materials. Journal of Research in Science Teaching, 53(3), 422–449.

    Article  Google Scholar 

  • Ball, D. L. (1993). With an eye on the mathematical horizon: Dilemmas of teaching elementary school mathematics. The Elementary School Journal, 93(4), 373–397.

    Article  Google Scholar 

  • Ball, D. L., & Cohen, D. K. (1996). Reform by the book: What is—Or might be—The role of curriculum materials in teacher learning and instructional reform? Educational Researcher, 25(9), 6–14.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • Beyer, C. J., & Davis, E. A. (2009). Using educative curriculum materials to support preservice elementary teachers’ curricular planning: A comparison between two different forms of support. Curriculum Inquiry, 39(5), 679–703.

    Article  Google Scholar 

  • Beyer, C. J., Delgado, C., Davis, E. A., & Krajcik, J. (2009). Investigating teacher learning supports in high school biology curricular programs to inform the design of educative curriculum materials. Journal of Research in Science Teaching, 46(9), 977–998.

    Article  Google Scholar 

  • Charles, R. I., Crown, W., Fennell, F., et al. (2008). Scott Foresman–Addison Wesley Mathematics. Glenview, IL: Pearson.

    Google Scholar 

  • Davis, E. A., & Krajcik, J. S. (2005). Designing educative curriculum materials to promote teacher learning. Educational Researcher, 34(3), 3–14.

    Article  Google Scholar 

  • Davis, E. A., Palincsar, A. S., Arias, A. M., Bismack, A. S., Marulis, L., & Iwashyna, S. (2014). Designing educative curriculum materials: A theoretically and empirically driven process. Harvard Educational Review, 84(1), 24–52.

    Article  Google Scholar 

  • Drake, C., & Sherin, M. G. (2008). Developing curriculum vision and trust. In J. T. Remillard, B. A. Herbel-Eisenmann, & G. M. Lloyd (Eds.), Mathematics teachers at work: Connecting curriculum materials and classroom instruction (pp. 321–337). New York: Routledge.

    Google Scholar 

  • Elementary Mathematics Department. (1997). PEP math, grade three (Vol. 1). Beijing: People’s Education Press.

    Google Scholar 

  • Heck, D. J., Chval, K. B., Weiss, I. R., & Ziebarth, S. W. (2012). Developing measures of fidelity of implementation for mathematics curriculum materials enactment. In D. J. Heck, K. B. Chval, I. R. Weiss, & S. W. Ziebarth (Eds.), Approaches to studying the enacted mathematics curriculum (pp. 67–87). Charlotte, NC: Information Age Publishing.

    Google Scholar 

  • Kim, O. K. (2018). Teacher decisions on lesson sequence and their impact on opportunities for students to learn. In L. Fan & L. Trouche (Eds.), Recent advances in research on mathematics textbooks and teachers’ resources (pp. 315–339). New York: Springer.

    Chapter  Google Scholar 

  • Li, J. (2004). A comparative study of United States and Chinese elementary mathematics textbook teacher guides. Unpublished doctoral dissertation, University of Chicago, Chicago, IL.

    Google Scholar 

  • Males, L. M. (2011). Educative supports for teachers in middle school mathematics curriculum materials: What is offered and how is it expressed? Unpublished doctoral dissertation, Michigan State University, East Lansing, MI.

    Google Scholar 

  • Marshall Cavendish International. (2010). Math in focus: The Singapore approach by Marshall Cavendish. Boston: Houghton Mifflin Harcourt.

    Google Scholar 

  • Morris, A. K., Hiebert, J., & Spitzer, S. M. (2009). Mathematical knowledge for teaching in planning and evaluating instruction: What can preservice teachers learn? Journal for Research in Mathematics Education, 40, 491–529.

    Google Scholar 

  • Reinke, L. T., & Atanga, N. A. (2013, April 27–May 1). An analysis of authors’ communication of transparency and rationale for design in five elementary mathematics curriculum guides. Paper presented at the annual meeting of the American Educational Research Association, San Francisco, CA.

    Google Scholar 

  • Remillard, J. T. (1999). Curriculum materials in mathematics education reform: A framework for examining teachers’ curriculum development. Curriculum Inquiry, 29(3), 315–342.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Remillard, J. T. (2005). Examining key concepts in research on teachers’ use of mathematics curricula. Review of Educational Research, 75(2), 211–246.

    Article  Google Scholar 

  • Remillard, J. T. (2018). Examining teachers’ interactions with curriculum resource to uncover pedagogical design capacity. In L. Fan, L. Trouche, C. Qi, S. Rezat, & J. Visnovska (Eds.), Recent advances in research on mathematics teachers’ textbooks and resources (pp. 69–88). New York: Springer.

    Chapter  Google Scholar 

  • Remillard, J. T., Reinke, L. T., & Kapoor, R. (2019). What is the point? Examining how curriculum materials articulate mathematical goals and how teachers steer instruction. International Journal of Educational Research, 93, 101–117.

    Article  Google Scholar 

  • Schneider, R. M., & Krajcik, J. S. (2002). Supporting science teacher learning: The role of educative curriculum materials. Journal of Science Teacher Education, 13(3), 221–245.

    Google Scholar 

  • Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14.

    Article  Google Scholar 

  • Sleep, L. (2012). The work of steering instruction toward the mathematical point a decomposition of teaching practice. American Educational Research Journal, 49(5), 935–970.

    Article  Google Scholar 

  • Stein, M. K., & Kim, G. (2009). The role of mathematics curriculum materials in large-scale urban reform. In J. T. Remillard, B. A. Herbel-Eisenmann, & G. M. Lloyd (Eds.), Mathematics teachers at work: Connecting curriculum materials and classroom instruction (p. 37). New York: Routledge.

    Google Scholar 

  • TERC. (2008). Investigations in Number, Data, and Space (2nd edition). Glenview, IL: Pearson Education Inc.

    Google Scholar 

  • TIMS Project (2008). Math Trailblazers (3rd Edition). Dubuque, IA: Kendall/Hunt Publishing Company.

    Google Scholar 

  • University of Chicago School Mathematics Project. (2008). Everyday Mathematics (3rd Edition). Chicago, IL: McGraw-Hill.

    Google Scholar 

  • Watanabe, T. (2001). Content and organization of teacher’s manuals: An analysis of Japanese elementary mathematics teacher’s manuals. School Science and Mathematics, 101(4), 194–205.

    Article  Google Scholar 

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Correspondence to Janine T. Remillard .

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Reinke, L.T., Remillard, J.T., Kim, OK. (2020). Examining Design Transparency in Elementary Mathematics Curriculum Materials. In: Elementary Mathematics Curriculum Materials. Research in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-38588-0_8

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  • DOI: https://doi.org/10.1007/978-3-030-38588-0_8

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