Abstract
As SimCalc targets mathematics achievement goals that lie beyond what many schools today focus on, new assessments are needed to measure what students learn and what teachers must know to support their learning. We provide an overview of how we developed four assessments for the Scaling Up SimCalc project and describe each of the processes we used to document the technical qualities of the assessments. This methodological approach can be used to measure the effectiveness of dynamic mathematics approaches at scale.
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Almond, R. G., Steinberg, L. S., & Mislevy, R. J. (2002). Enhancing the design and delivery of assessment systems: a four-process architecture. Journal of Technology, Learning, and Assessment, 1(5). www.jtla.org.
American Educational Research Association, American Psychological Association, & National Council on Measurement in Education (AERA, APA, & NCME) (1999). Standards for educational and psychological testing. Washington: American Educational Research Association.
Ball, D. L. (1990). The mathematical understandings that prospective teachers bring to teacher education. The Elementary School Journal, 90(4), 449–466.
Ball, D. L., Hill, H. C., & Bass, H. (2005). Knowing mathematics for teaching. American Educator, 29(3), 14.
Carlson, M. P., Jacobs, S., Coe, E., Larsen, S., & Hsu, E. (2002). Applying covariational reasoning while modeling dynamic events: a framework and a study. Journal for Research in Mathematics Education, 33(5), 352–378.
Ericsson, K. A., & Simon, H. A. (1993). Protocol analysis: verbal reports as data (revised ed.). Cambridge: Bradford Books/MIT Press.
Hiebert, J., & Behr, M. (1988). Introduction: capturing the major themes. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 1–18). Hillsdale: Erlbaum.
Hill, H. C., Rowan, B., & Ball, D. L. (2005). Effects of teachers’ mathematical knowledge for teaching on student achievement. American Educational Research Journal, 42(2), 371–406.
Kaput, J., & West, M. M. (1994). Missing-value proportional reasoning problems: factors affecting informal reasoning patterns. In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics, Albany: State University of New York Press.
Lamon, S. (1994). Ratio and proportion: cognitive foundations in unitizing and norming. In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 89–120). Albany: State University of New York Press.
Lobato, J., & Thanheiser, E. (2002). Developing understanding of ratio and measure as a foundation for slope. In B. Litwiller & G. Bright (Eds.), Making sense of fractions, ratios, and proportions: 2002 yearbook (pp. 162–175). Reston: National Council of Teachers of Mathematics.
Ma, L. (1999). Knowing and teaching elementary mathematics: teachers’ understanding of fundamental mathematics in China and the United States. Mahwah: Erlbaum.
Messick, S. (1994). The interplay of evidence and consequences in the validation of performance assessments. Educational Researcher, 23(2), 13–23.
Mislevy, R. J., Almond, R. G., & Lukas, J. F. (2003). A brief introduction to evidence-centered design (CSE Technical Report No. 632). Los Angeles: Center for Research on Evaluation, Standards, and Student Testing (CRESST).
Mislevy, R. J., & Haertel, G. (2006). Implications of evidence-centered design for educational testing. Educational Measurement: Issues and Practice, 25(4), 6–20.
Mislevy, R. J., Steinberg, L. S., & Almond, R. G. (2002). On the structure of educational assessments. Measurement: Interdisciplinary Research and Perspectives, 1(1), 3–67.
National Council of Teachers of Mathematics (NCTM) (2000). Principles and standards for school mathematics. Reston: National Council of Teachers of Mathematics.
Post, T. R., Cramer, K. A., Behr, M., Lesh, R., & Harel, G. (1993). Curriculum implications of research on the learning, teaching, and assessing of rational number concepts. In T. Carpenter, E. Fennema, & T. Romberg (Eds.), Rational numbers: an integration of research (pp. 327–362). Hillsdale: Erlbaum.
Roschelle, J., Shechtman, N., Tatar, D., Hegedus, S., Hopkins, B., Empson, S., Knudsen, J., & Gallagher, L. (2010). Integration of technology, curriculum, and professional development for advancing middle school mathematics: three large-scale studies. American Educational Research Journal, 47(4), 833–878.
Shechtman, N., Haertel, G., Roschelle, J., Knudsen, J., & Singleton, C. (2010a). Design and development of the student and teacher mathematical assessments (SimCalc Technical Report No. 5). Menlo Park: Center for Technology and Learning, SRI International.
Shechtman, N., Roschelle, J., Haertel, G., & Knudsen, J. (2010b). Investigating links from teacher knowledge, to classroom practice, to student learning in the instructional system of the middle school mathematics classroom. Cognition and Instruction, 28(3), 317–359.
Shulman, L. S. (1986). Those who understand: knowledge growth in teaching. Educational Researcher, 15(2), 4–14.
Tatar, D., Roschelle, J., Knudsen, J., Shechtman, N., Kaput, J., & Hopkins, B. (2008). Scaling up technology-based innovative mathematics. Journal of the Learning Sciences, 17(2), 248–286.
Webb, N. (1997). Criteria for alignment of expectations and assessments in mathematics and science education. Research Monograph (Vol. 6). Washington: Council of Chief State School Officers.
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Appendix: Sample Items
Appendix: Sample Items
Annie and Bonnie are running on the same track. They practice several 45-meter races. For each race, make a line graph that represents their position by time.
Race 1: Annie and Bonnie start at the starting line (0 meters) at the same time, and each runs at a constant speed. Annie finishes the 45-meter race 2 seconds before Bonnie.
Here is a graph of a 50-meter dash that a student made. Notice that distance is on the x-axis and time is on the y-axis.
Which are true statements about the relationship between the line graph and the speed of the runner? (Choose all that apply.)
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A.
The slope of the line is 9/50 or 0.18 as was the average speed in meters per second of the runner during the dash.
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B.
The slope of the line is 50/9 or 5.56 as was the average speed in meters per second of the runner during the dash.
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C.
The slope of the line is 9/50 or 0.18, and the average speed of the runner was 50/9 or 5.56 meters per second.
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D.
The slope of the line is 50/9 or 5.56, and the average speed of the runner was 9/50 or 0.18 meters per second.
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E.
None of the above.
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Shechtman, N., Haertel, G., Roschelle, J., Knudsen, J., Singleton, C. (2013). Development of Student and Teacher Assessments in the Scaling Up SimCalc Project. In: Hegedus, S., Roschelle, J. (eds) The SimCalc Vision and Contributions. Advances in Mathematics Education. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5696-0_10
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DOI: https://doi.org/10.1007/978-94-007-5696-0_10
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