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The impact of technology-enhanced curriculum on learning advanced algebra in US high school classrooms

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Abstract

We report on two large studies conducted in advanced algebra classrooms in the US, which evaluated the effect of replacing traditional algebra 2 curriculum with an integrated suite of dynamic interactive software, wireless networks and technology-enhanced curriculum on student learning. The first study was a cluster randomized trial and the second was a quasi-experimental replication study using a subset of the original treatment teachers. Both studies demonstrated significant impact on student learning of core algebra concepts including both procedural and conceptual problems. Various variables were modeled to understand the impact of such an intervention including demographic factors and class level. We found that being in an honors class significantly predicts learning gains but being in a non-honors SimCalc class significantly predicts learning gains versus all other groups. We also found significant effects of treatment on difference scores for problems which demanded simple procedural approaches and those that demanded complex conceptual understanding.

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References

  • Abrahamson, A. L. (1998). An overview of teaching and learning research with classroom communication systems. In Paper presented at the Samos International Conference on the Teaching of Mathematics, Village of Pythagorion, Samos, Greece, July, 1998.

  • Allensworth, E. M., Takako, N., Montgomery, N., & Lee, V. E. (2009). College preparatory curriculum for all: Academic consequences of requiring algebra and English I for ninth graders in Chicago. Educational Evaluation and Policy Analysis, 31(4), 367–391.

    Article  Google Scholar 

  • Ares, N., Stroup, W. M., & Schademan, A. R. (2009). The power of mediating artifacts in group-level development of mathematical discourses. Cognition and Instruction, 27(1), 1–24.

    Article  Google Scholar 

  • Brady, C., White, T., Davis, S., & Hegedus, S. (2013). SimCalc and the networked classroom. In S. Hegedus & J. Roschelle (Eds.), Democratizing access to important mathematics through dynamic representations: Contributions and visions from the SimCalc research program (pp. 99–121). New York, NY: Springer.

    Google Scholar 

  • Bransford, J. D., Brown, A. L., & Cocking, R. R. (Eds.). (2000). How people learn: Brain, mind, experience, and school (Expanded ed.). Washington, DC: National Academy Press.

    Google Scholar 

  • Crouch, C. H., & Mazur, E. (2001). Peer instruction: Ten years of experience and results. The Physics Teacher, 69(9), 970–977.

    Google Scholar 

  • Cuban, L. (2001). Oversold and underused: Computers in the classroom. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Cuoco, A., & Goldenberg, P. (1997). Dynamic geometry as a bridge from Euclidean Geometry to analysis. In J. R. King & D. Schattschneider (Eds.), Geometry turned on!: Dynamic software in learning, teaching and research (pp. 69–70). Washington, DC: The Mathematical Association of America.

    Google Scholar 

  • Dalton, S., & Hegedus, S. (2013). Learning and participation in high school classrooms. In The SimCalc vision and contributions (pp. 145–166). Netherlands: Springer.

  • Drijvers, P., Kieran, C., & Mariotti, M.-A. (2009). Integrating technology into mathematics education: Theoretical perspectives. In C. Hoyles & J.-B. Lagrange (Eds.), Mathematics education and technology—rethinking the terrain (pp. 89–132). New York, NY: Springer.

    Chapter  Google Scholar 

  • Falcade, R., Laborde, C., & Mariotti, M. A. (2007). Approaching functions: The trace tool as an instrument of semiotic mediation. Educational Studies in Mathematics, 66(3), 317–333.

    Article  Google Scholar 

  • Fishman, B., Marx, R., Blumenfeld, P., Krajcik, J., & Soloway, E. (2004). Creating a framework for research on systemic technology innovations. Journal of Learning Sciences, 13(1), 43–67.

    Article  Google Scholar 

  • Forman, E., & Ansell, E. (2002). The multiple voices of a mathematics classroom community. In Learning Discourse (pp. 115–142). Netherlands: Springer.

  • Gamoran, A., & Hannigan, E. C. (2000). algebra for everyone? Benefits of college-preparatory mathematics for students with diverse abilities in early secondary school. Educational Evaluation and Policy Analysis, 22(3), 241–254.

    Article  Google Scholar 

  • Gamoran, A., Porter, A. C., Smithson, J., & White, P. A. (1997). Upgrading high school mathematics instruction: Improving learning opportunities for low-achieving, low-income youth. Educational Evaluation and Policy Analysis, 19(4), 325–338.

    Article  Google Scholar 

  • Garland, M., LaTurner, J., Herrera, A. W., Ware, A., Jonas, D., & Dougherty, C. (2011). High school predictors of college readiness: Determinants of developmental course enrollment and second-year postsecondary persistence in Virginia. Virginia Department of Education.

  • Goos, M., Galbraith, P., Renshaw, P., & Geiger, V. (2003). Perspectives on technology mediated learning in secondary school mathematics classrooms. The Journal of Mathematical Behavior, 22(1), 73–89.

    Article  Google Scholar 

  • Hattie, J. (2012). Visible learning for teachers: Maximizing impact on learning. London: Routledge.

    Google Scholar 

  • Hegedus, S., & Moreno-Armella, L. (2008). Analyzing the impact of dynamic representations and classroom connectivity on participation, speech and learning. In L. Radford, G. Schubring, & F. Seeger (Eds.), Semiotics in mathematics education: Epistemology, history, classroom and culture (pp. 175–194). Rotterdam: Sense Publishers.

    Google Scholar 

  • Hegedus, S., Moreno-Armella, L., Dalton, S., Brookstein, A., & Tapper, J. (2013). Impact of classroom connectivity on learning and participation. In S. Hegedus & J. Roschelle (Eds.), Democratizing access to important mathematics through dynamic representations: Contributions and visions from the SimCalc research program (pp. 203-229). New York, NY: Springer.

    Google Scholar 

  • Hegedus, S., & Roschelle, J. (Eds). (2013). Democratizing access to important mathematics through dynamic representations: Contributions and visions from the SimCalc research program. Berlin: Springer.

    Google Scholar 

  • Hegedus, S. J., Tapper, J., & Dalton, S. (2014). Exploring how teacher-related factors relate to student achievement in learning advanced algebra in technology-enhanced classrooms. Journal of Mathematics Teacher Education. doi:10.1007/s10857-014-9292-5.

  • Heid, M. K., & Blume, G. W. (Eds.). (2008). Research on technology and the teaching and learning of mathematics: Research syntheses (vol. 1). Charlotte, NC: Information Age Publishing.

    Google Scholar 

  • Irving, K. E., Pape, S. J., Owens, D. T., Abrahamson, L., Silver, D. & Sanalan, V. (2010). Longitudinal study of classroom connectivity in promoting mathematics and science achievement: Years 13. In A paper presented at the 2010 AERA Annual Meeting, Denver, CO.

  • Jackiw, N. & Sinclair, N. (2007). Dynamic geometry activity design for elementary school mathematics. In C. Holyes, J.-B. Lagrange, Le Hung Son, & N. Sinclair (Eds.), Proceedings of the seventeenth ICMI study conference “technology revisited” (pp. 236–245). Paris, France: Hanoi Institute of Technology and Didirem University.

  • Kaput, J. (1995). Long term algebra reform: Democratizing access to big ideas. In C. Lacampagne, J. Kaput, & W. Blair (Eds.), The algebra initiative colloquium (Vol. 1, pp. 33–49). Washington, DC: Department of Education, Office of Research.

    Google Scholar 

  • Kaput, J. (2001). Implications of the shift from isolated, expensive technology to connected, inexpensive, ubiquitous and diverse technologies. New Zealand Mathematics Magazine, 38(3), 1–26.

    Google Scholar 

  • Kaput, J. (2002). Implications of the shift from isolated, expensive technology to connected, inexpensive, diverse and ubiquitous technologies. In F. Hitt (Ed.), Representations and mathematical visualization (pp. 177–207). Mexico: Departmento de Matematica Educativa del Cinvestav-IPN.

    Google Scholar 

  • Kaput, J., & Hegedus, S. (2002). Exploiting classroom connectivity by aggregating student constructions to create new learning opportunities. In A. D. Cockburn & E. Nardi (Eds.), Proceedings of the 26th annual conference of the international group for the psychology of mathematics education (Vol. 3, pp. 177–184). Norwich: University of East Anglia.

  • Kaput, J., & Shaffer, D. W. (2002). On the development of human representational competence from an evolutionary point of view: From episodic to virtual culture. In K. Gravemeijer, R. Lehrer, B. van Oers, & L. Verschaffel (Eds.), Symbolizing, modeling and tool use in mathematics education (pp. 277–293). London, UK: Kluwer Academic Publishers.

    Chapter  Google Scholar 

  • Mariotti, M. A. (2003). The influence of technological advances on students’ mathematics learning. In L. D. English (Ed.), Handbook of international research in mathematics education (pp. 695–723). Mahwah, NJ: Lawrence Erlbaum Associates.

    Google Scholar 

  • Maris, E. (1998). Covariance adjustment versus gain scores—revisited. Psychological Methods, 3(3), 309–327.

    Article  Google Scholar 

  • Mislevy, R. J., Steinberg, L. S., Almond, R. G., Haertel, G. D., & Penuel, W. R. (2003). Improving educational assessment. In B. Means & G. D. Haertel (Eds.), Evaluating educational technology: Effective research designs for improving learning (pp. 149–180). New York, NY: Teachers College Press.

    Google Scholar 

  • Moses, R. P., & Cobb, C. E, Jr. (2001). Radical equations: Math literacy and civil rights. Boston, MA: Beacon Press.

    Google Scholar 

  • National Center for Education Statistics. (1994). Effective schools in mathematics (NCES No. 065-000-00706-1). Washington, DC: National Center for Education Statistics Press.

  • National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the National Mathematics Advisory Panel. Washington, DC: U.S. Department of Education.

    Google Scholar 

  • National Research Council. (2003). Engaging schools: Fostering high school students’ motivation to learn. Washington, DC: National Academy Press.

    Google Scholar 

  • Nemirovsky, R., & Noble, T. (1997). Mathematical visualization and the place where we live. Educational Studies of Mathematics, 33(2), 99–131.

    Article  Google Scholar 

  • Pape, S. J., Irving, K. E., Owens, D. T., Boscardin, C. K., Sanalan, V. A., Abrahamson, L., Kaya, S., Shin, H. S., Silver, D., et al. (2011). The impact of classroom connectivity in promoting Algebra 1 achievement: Results of a randomized control trial. In Paper presented at the 2008 AERA Annual Meeting, New York, NY.

  • Pierson, J. (2008). The relationship between patterns of classroom discourse and mathematics learning. Unpublished doctoral dissertation, University of Texas at Austin.

  • RAND. (2002). Mathematical proficiency for all students: Toward a strategic research and development program in mathematics education. RAND Mathematics Study Panel, Deborah Loewenberg Ball, Chair. A Report Prepared for the Office of Education Research and Improvement (OERI), U.S. Department of Education.

  • Resnick, M., Berg, R., & Eisenberg, M. (2000). Beyond black boxes: Bringing transparency and aesthetics back to scientific investigation. Journal of the Learning Sciences, 9(1), 7–30.

    Article  Google Scholar 

  • Roschelle, J., Abrahamson, L., & Penuel, B. (2003). Catalyst: Toward scientific studies of the pedagogical integration of learning theory and classroom networks. http://firefly.ctl.sri.com/wild/review.html.

  • Roschelle, J., & Pea, R. (2002). A walk on the WILD side: How wireless handhelds may change computer-supported collaborative learning. International Journal of Cognition and Technology, 1(1), 145–168.

    Article  Google Scholar 

  • Roschelle, J., Shechtman, N., Tatar, D., Hegedus, S., Hopkins, B., Empson, S., et al. (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.

    Article  Google Scholar 

  • Sinclair, N., & Crespo, S. (2006). Learning mathematics with dynamic computer environments. Teaching Children Mathematics, 12(9), 436–444.

    Google Scholar 

  • Snjiders, T. A. B., & Bosker, R. J. (1999). Multilevel analysis: An introduction to basic and advanced multilevel modeling. London, UK: Sage Publications.

    Google Scholar 

  • Stroup, W. (2005). Learning the basics with calculus. Journal of Computers in Mathematics and Science Teaching, 24(2), 179–196.

    Google Scholar 

  • Stroup, W. M., Ares, N. M., & Hurford, A. (2005). A dialectic analysis of generativity: Issues of network supported design in mathematics and science. Journal of Mathematical Thinking and Learning, 7(3), 181–206.

    Article  Google Scholar 

  • Tapper, J. R. (2013). Changing from the inside out: SimCalc teacher changes in beliefs and practices. In S. Hegedus & J. Roschelle (Eds.), The SimCalc vision and contributions: Democratizing access to important mathematics. Advances in mathematics education series. New York, NY: Springer Publishing.

    Google Scholar 

  • Virginia Department of Education. (2010). Virginia’s College and Career Readiness Initiative. Retrieved from: http://www.doe.virginia.gov/instruction/college_career_readiness/resources/introductory_briefing.pdf.

  • Wager, A. A., & Stinson, D. W. (Eds.). (2012). Teaching mathematics for social justice: Conversations with educators. National Council of Teachers of Mathematics.

  • Wilensky, U., & Stroup, W. (1999). Learning through participatory simulations: Network-based design for systems learning in classrooms. Paper presented at the Computer Supported Collaborative Learning (CSCL ‘99) conference. 12–15 Dec 1999, Stanford University.

  • What Works Clearinghouse. (2014). WWC procedures and standards handbook (version 3.0). Washington, DC: U.S. Department of Education’s Institute of Education Sciences.

  • White, T. (2006). Code talk: Student discourse and participation with networked handhelds. International Journal of Computer-Supported Collaborative Learning, 1(3), 359–382.

    Article  Google Scholar 

  • White, T., Wallace, M., & Lai, K. (2012). Graphing in groups: Learning about lines in a collaborative classroom network environment. Mathematical Thinking and Learning, 14(2), 149–172.

    Article  Google Scholar 

  • Yerushalmy, M., & Naftaliev, E. (2011). Design of interactive diagrams structured upon generic animations. Technology, Knowledge and Learning, 16(3), 221–246.

    Google Scholar 

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Acknowledgments

This work is based upon work supported by the Institute of Education Sciences at the US Department of Education under Grant R305B070430. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the Institute of Education Sciences. Special thanks to Larry Gallagher, SRI International, CA, for his advice and input on previous versions of the manuscript.

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Correspondence to Stephen J. Hegedus.

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Hegedus, S.J., Dalton, S. & Tapper, J.R. The impact of technology-enhanced curriculum on learning advanced algebra in US high school classrooms. Education Tech Research Dev 63, 203–228 (2015). https://doi.org/10.1007/s11423-015-9371-z

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