Abstract
Our study reports the development of the SimCalc environment that integrates interactive and connected mathematical representations with the latest affordances in wireless connectivity. We describe the development of several instruments to measure the interaction between learning and participation in terms of changes in attitude over time. In addition to empirical data from a quasi-experimental study, we qualify our findings through analysis of discourse patterns in specific forms of participation and explain how the communication infrastructure of an algebra classroom can be radically enhanced.
This research is based on work supported by the National Science Foundation under Grant REC-0337710. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the agency.
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References
Abrahamson, A. L. (1998). An overview of teaching and learning research with classroom communication systems. Paper presented at the Samos international conference on the teaching of mathematics, Village of Pythagorion, Samos, Greece.
Abrahamson, A. L. (2000). A brief history of ClassTalk. Paper presented at the teachers teaching with technology international conference, Dallas, TX.
Burnstein, R., & Lederman, L. M. (2001). Using wireless keypads in lecture classes. Physics Teacher, 39(8), 8–11.
Cobb, P., Wood, T., Yackel, E., & McNeal, B. (1992a). Characteristics of classroom mathematics traditions: an interactional analysis. American Educational Research Journal, 29(3), 573–604.
Cobb, P., Yackel, E., & Wood, T. (1992b). A constructivist alternative to the representational view of the mind in mathematics education. Journal for Research in Mathematics Education, 23(1), 2–33.
Crouch, C. H., & Mazur, E. (2001). Peer instruction: ten years of experience and results. The Physics Teacher, 69(9), 970–977.
Cuban, L. (2001). Oversold and underused: computers in the classroom. Cambridge: Harvard University Press.
Dufresne, R. J., Gerace, W. J., Leonard, W. J., Mestre, J. P., & Wenk, L. (1996). Classtalk: a classroom communication system for active learning. Journal for Computing in Higher Education, 7(2), 3–47.
Fennema, E., & Sherman, J. A. (1976). Fennema-Sherman mathematics attitude scale: instruments designed to measure attitudes toward the learning of mathematics by females and males. Document, MS 1225. Washington: Am. Psychol. Assoc.
Goldin, G. (2008). Some issues in the study of affect and mathematics learning. Paper presented at the 11th international congress on mathematical education, Monterrey, Mexico.
Goldin, G. A., Epstein, Y. M., & Schorr, R. Y. (2007). Affective pathways and structures in urban students’ mathematics learning. Paper presented at the 9th international conference on mathematics education in a global community, Charlotte, NC.
Goodwin, C. (1986). Audience diversity, participation and interpretation. Text, 6(3), 283–316.
Hake, R. R. (1998). Interactive-engagement vs. traditional methods: a six-thousand-student survey of mechanics test data for introductory physics courses. American Journal of Physics, 66(1), 64–74.
Hegedus, S., & Kaput, J. (2004). An introduction to the profound potential of connected algebra activities: issues of representation, engagement and pedagogy. In P. Gates (Ed.), Proceedings of the 28th annual meeting of the international group for the psychology of mathematics education (Vol. 3, pp. 129–136). Bergen, Norway: Program Committee.
Hegedus, S., & Moreno-Armella, L. (2009). Intersecting representation and communication infrastructures. ZDM Mathematics Education, 41(4), 399–412.
Hegedus, S., & Penuel, W. (2008). Studying new forms of participation and classroom identity in mathematics classrooms with integrated communication and representational infrastructures. Educational Studies in Mathematics, 68(2), 171–183.
Hutchins, E. (1996). Cognition in the wild. Cambridge: MIT Press.
Kaput, J. (1994). Democratizing access to calculus: new routes using old routes. In A. Schoenfeld (Ed.), Mathematical thinking and problem solving (pp. 77–156). Hillsdale: Erlbaum.
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.
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., & 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 (pp. 155–170). London: Springer.
Littauer, R. (1972). Instructional implications of a low-cost electronic student response system. Educational Technology: Teacher and Technology Supplement, 12(10), 69–71.
Locke, K. D. (2000). Circumplex scales of interpersonal values: reliability, validity, and applicability to interpersonal problems and personality disorders. Journal of Personality Assessment, 75(2), 249–267.
Longitudinal Study of American Youth (1990). Chicago: The International Center for the Advancement of Scientific Literacy. http://lsay.msu.edu/.
Ma, X., & Kishor, N. (1997). Assessing the relationship between attitude towards mathematics and achievement in mathematics: a meta-analysis. Journal for Research in Mathematics Education, 28(1), 26–47.
Mislevy, R. J., Steinberg, L. S., Almond, R. G., Haertel, G. D., & Penuel, W. (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: Teachers College Press.
National Council of Teachers of Mathematics (NCTM) (2000). Principles and standards for school mathematics. Reston: National Council of Teachers of Mathematics.
Nemirovsky, R., & Noble, T. (1997). Mathematical visualization and the place where we live. Educational Studies in Mathematics, 33(2), 99–131.
Nemirovsky, R., Tierney, C., & Wright, T. (1998). Body motion and graphing. Cognition & Instruction, 16(2), 119–172.
Piazza, S. (2002). Peer instruction using an electronic response system in large lecture classes. Presentation document presented at the Pennsylvania State University, Center for Educational Technology Services “Teaching with Technology” Series: Departments of Kinesiology, Mechanical Engineering, and Orthopedics and Rehabilitation.
Renninger, K. A. (2009). Interest and identity development in instruction: an inductive model. Educational Psychologist, 44(2), 105–118.
Resnick, M., Berg, R., & Eisenberg, T. (2000). Beyond black boxes: bringing transparency and aesthetics back to scientific investigation. Journal of Learning Sciences, 9(1), 7–30.
Roschelle, J. (1992). Learning by collaborating: convergent conceptual change. Journal of Learning Sciences, 2(3), 235–276.
Roschelle, J. (1996). Designing for cognitive communication: epistemic fidelity or mediating collaborating inquiry. In D. L. Day & D. K. Kovacs (Eds.), Computers, communication & mental models (pp. 13–25). London: Taylor & Francis.
Roschelle, J., Abrahamson, A. L., & Penuel, W. (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., Kaput, J., Stroup, W., & Kahn, T. (1998). Scalable integration of educational software: exploring the promise of component architectures. Journal of Interactive Media in Education. http://www-jime.open.ac.uk/98/6/.
Roschelle, J., Knudsen, J., & Hegedus, S. (2010). From new technological infrastructures to curricular activity systems: advanced designs for teaching and learning. In M. J. Jacobsen & P. Reimann (Eds.), Designs for learning environments of the future (pp. 233–262). New York: Springer.
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.
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.
Rubio, D. M., Berg-Weger, M., & Tebb, S. S. (1999). Assessing the validity and reliability of well-being and stress in family caregivers. Social Work Research, 23(1), 54–64.
Schorr, R., & Goldin, G. (2008). Students’ expression of affect in an inner-city SimCalc classroom. Educational Studies in Mathematics, 68(2), 131–148.
Sfard, A. (1991). On the dual nature of mathematical conceptions: reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics, 22(1), 1–36.
Stroup, W. (2003). Understanding qualitative calculus: a structural synthesis of learning research. International Journal of Computers for Mathematical Learning, 7(2), 167–215.
Stroup, W., Ares, N., & Hurford, A. (2005). A dialectic analysis of generativity: issues of network-supported design in mathematics and science. Mathematical Thinking and Learning, 7(3), 181–206.
Stroup, W., Kaput, J., Ares, N., Wilensky, U., Hegedus, S., & Roschelle, J. (2002). The nature and future of classroom connectivity: the dialectics of mathematics in the social space. In D. Mewborn, P. Sztajn, D. Y. White, H. G. Wiegel, R. L. Bryant, & K. Nooney (Eds.), Proceedings of the 24th annual meeting of the North American chapter of the international group for the psychology of mathematics education (Vol. 1, pp. 195–213). Columbus: The ERIC Clearninghouse for Science, Mathematics, and Environmental Education.
Tapper, J. (2011). Democratizing access to core mathematics across grades 9–12: validity study of algebra 1 content tests. Shrewsbury: UMass Donahue Institute. http://www.kaputcenter.umassd.edu/products/publications/di_report_alg1_content_validity_9-11/.
Thompson, P., & Sfard, A. (1994). Problems of reification: representations and mathematical objects. In D. Kirshner (Ed.), Proceedings of the 16th annual meeting of the North American chapter of the international group for the psychology of mathematics education (Vol. 1, pp. 3–34). Rouge Baton: Louisiana State University.
Wenger, E. (1998). Communities of practice: learning as a social system. The Systems Thinker, 9(5).
White, T. (2006). Code talk: student discourse and participation with networked handhelds. Computer-Supported Collaborative Learning, 1(3), 359–382.
Wilensky, U. (1991). Abstract mediation on the concrete and the concrete implications for mathematics education. In G. Harel & S. Papert (Eds.), Constructivism (pp. 193–203). Norwood: Ablex.
Wilensky, U., & Resnick, M. (1999). Thinking in levels: a dynamic systems approach to making sense of the world. Journal of Science Education and Technology, 8(1), 3–19.
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, Stanford University, Palo Alto, CA.
Wilensky, U., & Stroup, W. (2000). Networked gridlock: students enacting complex dynamic phenomena with the HubNet architecture. Paper presented at the fourth annual international conference of the learning sciences, Ann Arbor, MI.
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Hegedus, S., Moreno-Armella, L., Dalton, S., Brookstein, A., Tapper, J. (2013). Impact of Classroom Connectivity on Learning and Participation. 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_12
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