SimCalc
The SimCalc project seeks to democratize access to the mathematics of change, making concepts of proportionality, linearity, and rates of change accessible to ordinary middle school students. The project teaches core concepts in the strand that leads to Algebra and eventually to Calculus. To accomplish this, we develop and study restructured curriculum and innovative graphing technologies, seeking an integration that supports students in developing a robust, integrated, multi-faceted understanding of the concept of "rate of change."
Current Studies
Scaling Up SimCalc - Phase II
We are studying the viability of research-based, technologically-enhanced mathematical pedagogy as
a large-scale innovation across a range of teachers, students, and educational environments.
Our emphasis is the challenge of understanding whether a wide variety of teachers can succeed with
materials that integrate technology, curriculum, and teacher professional development. Our starting
point is the investigation of the robustness of a replacement unit model for teaching core
concepts in complex and conceptually difficult mathematics, specifically rate and
proportionality. To do this we are developing techniques for improving and measuring teachers'
content, pedagogical content, and technology integration knowledge.
In school year 2005-2006, we completed a randomized, controlled experiment with over a 100 7th grade teachers in Texas. In school year 2006-2007, we continued with the cohort of 7th grade teachers from the prior year. We also expanded into the 8th grade and designed another replacement unit focusing on linear function. In both years, we are collecting data for two primary outcomes: (1) strong evidence on which educational leaders can base decisions about using technology to address the national challenge of improving students' ability to do complex and conceptually difficult mathematics, and (2) new insights into specific teaching and professional development practices that leverage technologies to improve learning.
Visit our project website (http://math.sri.com) to learn more about this phase of the Scaling Up SimCalc project and read about results from the 7th grade study in school year 2005 – 2006.
9/2004 - 8/2008 (current)Prior Studies
Scaling up SimCalc - Phase I was a pilot of a randomized, controlled experiment with 7th
grade teachers in Texas. This took place in the 2003-04 school year. We found significant learning
gains for teachers who received training in our intervention (compared to those who did not).
Furthermore, we found significant learning gains for their students. This phase was completed in
August 2004.
In NetCalc explored the potential of wireless handheld devices in implementing the SimCalc vision. Working closely with a local school and teacher, we designed new activities that utilized the mobility and "beaming" capability of handhelds in the context of focused interventions, including an 8th grade month-long introduction to concepts such as the meaning of the area under a curve. Our research examined learning gains, patterns of attention and engagement, and the new learning opportunities possible within classroom activities supported by handheld devices. The project was completed in December 2003.
Funders & Clients
Partners
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Bill Hopkins
Charles A. Dana Center, University of Texas, Austin
- Corte Madera School
- James J. Kaput Center for Research and Innovation in Mathematics Education
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Stephen Hegedus
University of Massachusetts, Dartmouth
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Susan Empson
University of Texas at Austin
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Deborah Tatar
Virginia Tech
Publications
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Fishman, B., Penuel, W., Hegedus, S., Moniz, R., Dalton, S., Brookstein, A., Beaton, D., Tatar, D., Dickey, M., & Roschelle, J. (2009). What happens when the research ends? Factors related to the sustainability of a research-based innovation. (SimCalc Technical Report 04). Menlo Park, CA: SRI International.
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Tatar, D., Stroter, A. (2009). Recruitment Strategies, Outcomes, and Implications for a Randomized Controlled Experiment with Teachers. (SimCalc Technical Report 03). Menlo Park, CA: SRI International.
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Vahey, P., Lara-Meloy, T., Knudsen, J. (2009). Meeting the needs of diverse student populations: Findings from the Scaling Up SimCalc project. In Swars, S. L., Stinson, D. W., & Lemons-Smith, S. (Eds.). Proceedings of the 31st annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Atlanta, GA: Georgia State University. pp. 416-424.
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Roschelle, J., Tatar, D., Shechtman, N., & Knudsen, J. (2008). The role of scaling up research in designing for and evaluating robustness. Educational Studies in Mathematics. 68(2).
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Tatar, D., Roschelle, J., Knudsen, J., Shechtman, N., Kaput, J., & Hopkins, B. (2008). Scaling Up Innovative Technology-Based Math. Journal of the Learning Sciences. 17(2). 248-286.
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Vahey, P., Knudsen, K. (2008). Can a Technology-enhanced Curriculum Improve Student Learning of Important Mathematics? Presented at the National Council of Supervisors of Mathematics. April 2008, Salt Lake City, UT.
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Vahey, P., Lara-Maloy, T. (2008). Using a Technology-Enhanced Curriculum to Improve the Learning of Important Mathematics for English Language Learners. Invited presentation to the 2008 CREATE conference, October 2008, Minneapolis, MN.
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Vahey, P., Lara-Meloy, T. (2008). Supporting All Students in Learning Advanced Math: Findings From a Technology-enhanced Curriculum Study. Presented at the 40th Annual National Council of Supervisors of Mathematics Conference. April 2008, San Jose, CA
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Roschelle, J. (2007). Can Technology-Based Representations Deepen Math Learning and Close the Gap? Research Findings from a Large Scientific Study. Featured speaker session presented at the annual meeting of the National Council of Teachers of Mathematics, Atlanta, GA.
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Roschelle, J. (2007). Scientifically-Based Research Studies Examining the Use of Technology in Mathematics Education. Presentation at the Consortium for School Networking (CoSN), 12th Annual K-12 School Networking Conference, San Francisco, CA.
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Roschelle, J., Tatar, D., Shechtman, N., Hegedus, S., Hopkins, B., Knudsen, J., & Dunn, M. (2007). Extending the SimCalc approach to grade 8 mathematics (SimCalc Technical Report 02). Menlo Park, CA: SRI International.
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Roschelle, J., Tatar, D., Shechtman, N., Hegedus, S., Hopkins, B., Knudsen, J., & Stroter, A. (2007). Can a technology-enhanced curriculum improve student learning of important mathematics? (SimCalc Technical Report 01). Menlo Park, CA: SRI International.
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Roschelle,J., Tatar, D. , Shechtman, N., Hegedus, S., Hopkins, B., Knudsen, J., Stroter, A. (2007). Can a Technology-enhanced Curriculum Improve Student Learning of Important Mathematics? (SimCalc Technical Report 1). Menlo Park, CA: SRI International.
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Vahey, P., Tatar, D., & Roschelle, J. (2007). Using handheld technology to move between private and public interactions in the classroom. In M. van 't Hooft & K. Swan (Eds.). Ubiquitous computing in education: Invisible technology, visible impact (pp. 187-210). Mahway, NJ: Lawrence Erlbaum Associates.
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Vahey, P., Tatar, D., & Roschelle, J. (2007). Using Handhelds to Link Private Cognition and Public Interaction. Educational Technology Magazine, v47(3) pp 13 - 16.
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Shechtman, N., Roschelle, J., Haertel, G., Knudsen, J., & Vahey, P. (2006). Measuring middle school teachers’ mathematical knowledge of teaching rate and proportionality. Paper presented at the annual meeting of the American Educational Research Association, San Francisco, CA.
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Shechtman, N., Roschelle, J., Haertel, G., Knudsen, J., & Tatar, D. (2005). Measuring student learning gains in conceptual mathematics when scaling a technological intervention for middle school mathematics. Paper presented at the American Educational Research Association Annual Meeting, Montreal, Canada.
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Roschelle, J., Penuel, W. R., & Abrahamson, L. A. (2004). The networked classroom. Educational Leadership, 61(5), 50-54.
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Vahey, P., Tatar, D., & Roschelle, J. (2004). Leveraging handhelds to increase student learning: Engaging middle school students with the mathematics of change. Proceedings of The Sixth International Conference of the Learning Sciences (pp. 553-560). NJ: Lawrence Erlbaum Associates.
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Roschelle, J. (2003). Unlocking the learning value of wireless mobile devices. Journal of Computer Assisted Learning, 19(3), 260-272.
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Roschelle, J., Vahey, P., Tatar, D., Kaput, J., & Hegedus, S. J. (2003). Five key considerations for networking in a handheld-based mathematics classroom. In N. A. Pateman & B. J. Dougherty & J. T. Zilliox (Eds.), Proceedings of the 2003 Joint Meeting of PME and PMENA (Vol. 4, pp. 71-78). Honolulu, Hawaii: University of Hawaii.
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Tatar, D., Roschelle, J., Vahey, P., & Penuel, W. R. (2003). Handhelds Go To School: Lessons Learned. IEEE Computer, 36(9), 30-37.
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Roschelle, J. (2001). "SimCalc Design Principles" Presentation at the Instructional Technology Institute, Logan, Utah, August 29, 2002.
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Roschelle, J. (2002). "The Design of Software for Teaching Rate of Change in Middle School." Presentation at the Xerox PARC Forum, April 11, 2002.
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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.
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Stroup, W. M., Kaput, J., Ares, N., Wilensky, U., Hegedus, S. J., Roschelle, J., Mack, A., Davis, S., & Hurford, A. (2002). The nature and future of classroom connectivity: The dialectics of mathematics in the social space. Paper presented at the Psychology and Mathematics Education - North America, Athens, GA.
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Tatar, D. (2002). "The world of wireless and kids", Presentation at the ACM Computer-Human Interaction (CHI) Conference, April 24, 2002.
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Roschelle, J. (2001). "Designing Technology That Changes How & What Children Learn." Presentation at the National Academy of Sciences, Washington DC, January 23, 2001.
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Roschelle, J. (2001). "Designing Technology That Integrates With Curriculum and Helps Children Learn”" Presentation at the NSF Curriculum Developers PI Meeting, Arlington VA, February 4, 2001.
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Roschelle, J. (2001). "Designing Tools to Enable Every Child to Learn More Advanced Mathematics: The SimCalc Project and Beyond." Presentation to the Technology and Society Committee, Mountain View, CA, July 24, 2001.
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Roschelle, J. (2001). "Representational Competence in Learning the Math of Change.”" Presentation at Jean Piaget Society Meeting, Berkeley, CA, June 1, 2001.
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Vahey, P. (2001). "Handheld Computers in Education: Current Trends and Future Research." Presentation to BayCHI Kids, Menlo Park, CA, September 2001.
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Roschelle, J. and Tatar, D. (2000). "Mobile wireless devices in mathematics education." Presented at a workshop in Computer Supported Collaborative Work, Philadelphia, PA, December, 2000.
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Roschelle, J., & Jackiw, N. (2000). Technology design as educational research: Interweaving imagination, inquiry & impact. In A. Kelly & R. Lesh (Eds.), Research design in mathematics & science education (pp. 777-797). Mahwah, NJ: Lawrence Erlbaum Associates, Inc.
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Roschelle, J., Kaput, J., & Stroup, W. (2000). SimCalc: Accelerating students' engagement with the mathematics of change. In M. J. Jacobson & R. B. Kozma (Eds.), Innovations in science and mathematics education: Advanced designs for technologies of learning (pp. 47-75). Mahwah, NJ: Lawrence Erlbaum Associates, Inc.
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Roschelle, J., Pea, R., Hoadley, C., Gordin, D., & Means, B. (2000). Changing how and what children learn in school with computer-based technologies. The Future of Children, 10(2), 76-101.
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Kaput, J., & Roschelle, J. (1998). The mathematics of change and variation from a millennial perspective: New content, new context. In C. Hoyles & C. Morgan & G. Woodhouse (Eds.), Rethinking the mathematics curriculum. London, UK: Falmer Press.
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Roschelle, J., Kaput, J., Stroup, W., & Kahn, T. (1998). Scalable integration of educational software: Exploring the promise of component architectures. Journal of Interactive Media in Education.
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Research Areas
Assessment
Learning Environments
Teacher Learning
Technology Development
Keywords
calculus
diversity
English Language Learners
experiment
Mathematics learning
Mathematics Learning & Teaching
representation
Simcalc

