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Addressing Measurement Issues in Two Large-Scale Mathematics Classroom Observation Protocols

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Large-Scale Studies in Mathematics Education

Part of the book series: Research in Mathematics Education ((RME))

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Abstract

In large-scale studies of mathematics achievement, many important variables are at the classroom level and therefore require the collection of classroom observation data. However, in these studies, collecting observation data is expensive, and collecting numerous observations can be cost prohibitive. In addition to these practical considerations, there are methodological and conceptual considerations to measuring instruction. This chapter raises several of these issues around measuring mathematics classroom instruction by using empirical data from two prominent observational protocols.

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References

  • Borko, H., Eisenhart, M., Underhill, R., Brown, C., Jones, D., & Agard, P. (1992). Learning to teach hard mathematics: Do novice teachers and their instructors give up too easily? Journal for Research in Mathematics Education, 23(3), 194–222.

    Article  Google Scholar 

  • Brennan, R. L. (2010). Generalizability theory. New York: Springer.

    Google Scholar 

  • Chval, K. B., Reys, R. E., Reys, B. J., Tarr, J. E., & Chávez, O. (2006). Pressures to improve student performance: A context that both urges and impedes school-based research. Journal for Research in Mathematics Education, 37(3), 158–166.

    Google Scholar 

  • Cohen, D., Raudenbush, S., & Ball, D. (2003). Resources, instruction, and research. Educational Evaluation and Policy Analysis, 25(2), 1–24.

    Article  Google Scholar 

  • Confrey, J., Battista, M. T., Boerst, T. A., King, K. D., Reed, J., Smith, M. S., et al. (2008). Situating research on curricular change. Journal for Research in Mathematics Education, 39(2), 102–112.

    Google Scholar 

  • Correnti, R., & Martinez, J. F. (2012). Conceptual, methodological, and policy issues in the study of teaching: Implications for improving instructional practice at scale. Educational Assessment, 17, 51–61.

    Article  Google Scholar 

  • Hiebert, J. S., & Grouws, D. A. (2007). The effects of classroom mathematics teaching on students’ learning. In F. K. Lester Jr. (Ed.), Second handbook on mathematics learning and teaching (pp. 371–404). Charlotte, NC: Information Age Publishing.

    Google Scholar 

  • Hill, H. C., Charalambos, C. Y., Blazar, D., McGinn, D., Kraft, M. A., Beisiegel, M., Litke, E., Lynch, K (2012). Validating arguments for observational instruments: Attending to multiple sources of variation. Educational Assessment, 17, 88–106.

    Google Scholar 

  • Hill, H. C., Charalambous, C. Y., & Kraft, M. A. (2012). When rater reliability is not enough: Teacher observation systems and a case for the generalizability study. Educational Researcher, 41(2), 58–64.

    Article  Google Scholar 

  • Hill, H. C., Kapitula, L. R., & Umland, K. L. (2011). A validity argument approach to evaluating value-added scores. American Educational Research Journal, 48(3), 794–831.

    Article  Google Scholar 

  • Ing, M., & Webb, N. M. (2012). Characterizing mathematics classroom practice: Impact of observation and coding choices. Educational Measurement: Issues and Practice, 31(1), 14–26.

    Article  Google Scholar 

  • Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers’ understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Marcoulides, G. A. (1993). Maximizing power in generalizability studies under budget constraints. Journal of Educational and Behavioral Statistics, 18(2), 197–206.

    Article  Google Scholar 

  • Marcoulides, G. A. (1997). Optimizing measurement designs with budget constraints: The variable cost case. Educational and Psychological Measurement, 57(5), 808–812.

    Article  Google Scholar 

  • Marcoulides, G. A., & Goldstein, Z. (1990). The optimization of generalizability studies with resource constraints. Educational and Psychological Measurement, 50(4), 761–768.

    Article  Google Scholar 

  • National Research Council. (2004). On evaluating curricular effectiveness: Judging the quality of K-12 evaluations. Washington, DC: National Academy Press.

    Google Scholar 

  • Shavelson, R. J., & Webb, N. M. (1991). Generalizability theory: A primer. Newbury Park, CA: Sage.

    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: Free Press.

    Google Scholar 

  • Tarr, J., Reys, R., Reys, B., Chávez, O., Shih, J., & Osterlind, S. (2008). The impact of middle grades mathematics curricula on student achievement and the classroom learning environment. Journal for Research in Mathematics Education, 39(3), 247–280.

    Google Scholar 

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Correspondence to Jeffrey C. Shih .

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Shih, J.C., Ing, M., Tarr, J.E. (2015). Addressing Measurement Issues in Two Large-Scale Mathematics Classroom Observation Protocols. In: Middleton, J., Cai, J., Hwang, S. (eds) Large-Scale Studies in Mathematics Education. Research in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-07716-1_16

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