Pre-service Secondary Mathematics Teachers’ Beliefs about the Nature of Technology in the Classroom

Keith R. Leatham1
1Brigham Young University USA

Tóm tắt

This study investigated pre-service secondary mathematics teachers’ (PSTs) beliefs about teaching mathematics with technology, the experiences in which those beliefs were grounded, and the organizational structure of those beliefs. In particular, this article reports on research that was designed to investigate questions beyond that of whether technology can profitably be used before mathematical content has been mastered (the question about technology most commonly reported in the literature). Beliefs were defined as dispositions to act and were viewed through what is referred to as the sensible system framework. Through the qualitative research methodology called grounded theory, four PSTs were purposefully selected and studied. The primary dimensions of the PSTs’ core beliefs with respect to technology, referred to as their beliefs about the nature of technology in the classroom, were beliefs about the availability of technology, about the purposeful use of technology, and about the importance of teacher knowledge of technology.

Tài liệu tham khảo

Cadiero-Kaplan, K. (1999). Integrating technology: Issues for traditional and constructivist pedagogies. Journal of Computing in Teacher Education, 15(2), 14–18. Chapman, O. (2002). Belief structure and inservice high school mathematics teacher growth. In G.C. Leder, E. Pehkonen & G. Törner (Eds.), Beliefs: A hidden variable in mathematics education? (vol. 31, pp. 177–193). Dordrecht, The Netherlands: Kluwer Academic. Cooney, T.J., Shealy, B., & Arvold, B. (1998). Conceptualizing belief structures of preservice secondary mathematics teachers. Journal for Research in Mathematics Education, 29, 306–333. Creswell, J.W. (1998). Qualitative inquiry and research design: Choosing among five traditions. Thousand Oaks, CA: Sage. Dwyer, D.C., Ringstaff, C., & Sandholtz, J.H. (1990). Teacher beliefs and practices Part 1: Patterns of change (ACOT Report No. 8). Cupertino, CA: Apple Computer. Editorial Projects in Education. (2007). Technology in education. Education Week. Available: https://doi.org/www.edweek.org/rc/issues/technology-in-education (accessed 26 February 2007). Epper, R.M., & Bates, A.W. (Eds.). (2001). Teaching faculty how to use technology: Best practices from leading institutions. Westport, CT: Oryx Press. Flake, J.L. (1990). Preparing teachers to integrate computers into mathematics instruction. Journal of Computers in Mathematics and Science Teaching, 9(4), 9–16. Fleener, M.J. (1995a). The relationship between experience and philosophical orientation: A comparison of preservice and practicing teachers’ beliefs about calculators. Journal of Computers in Mathematics and Science Teaching, 14, 359–376. Fleener, M.J. (1995b). A survey of mathematics teachers’ attitudes about calculators: The impact of philosophical orientation. Journal of Computers in Mathematics and Science Teaching, 14, 481–498. Gadanidis, G., Gadanidis, J., & Schindler, K. (2003). Factors mediating the use of online applets in the lesson planning of preservice mathematics teachers. Journal of Computers in Mathematics and Science Teaching, 22, 323–344. Green, T.F. (1971). The activities of teaching. New York: McGraw-Hill. Gregg, J. (1995). The tensions and contradictions of the school mathematics tradition. Journal for Research in Mathematics Education, 26, 442–466. Hannafin, R.D. (1999). Can teacher attitudes about learning be changed? Journal of Computing in Teacher Education, 15(2), 7–13. Hanzsek-Brill, M.B. (1997). The relationships among components of elementary teachers’ mathematics education knowledge and their uses of technology in the mathematics classroom. Unpublished doctoral dissertation, University of Georgia, Athens, Georgia. Hennessy, S., Ruthven, K., & Brindley, S. (2005). Teacher perspectives on integrating ICT into subject teaching: Commitment, constraints, caution, and change. Journal of Curriculum Studies, 37, 155–192. Herring, P.M. (2000). Teacher beliefs concerning the use of graphing calculators in the teaching of logarithmic functions in a community college algebra course: Two case studies. Unpublished doctoral dissertation, Florida State University, Tallahassee, FL. Jackiw, N. (1996). The geometer’s sketchpad (Version 3.05) [Computer software]. Berkeley, CA: Key Curriculum Press. Jakobsson, L. (2001). On the use of handheld technology in math instruction. In A. Rogerson (Ed.), Proceedings of the International Conference on New Ideas in Mathematics Education (pp. 107–114). Available: https://doi.org/math.unipa.it/≈grim/cairms (accessed 24 October 2002). Janesick, V.J. (1998). The dance of qualitative research design: Metaphor, methodolatry, and meaning. In N.K. Denzin & Y.S. Lincoln (Eds.), Strategies of qualitative inquiry (pp. 35–55). Thousand Oaks, CA: Sage. Jaworski, B. (1994). Investigating mathematics leaching: A constructivist enquiry. London: Falmer Press. Jones, T. (1998, December). Concerns of beginning teachers about using learning technologies in the classroom. Paper presented at the annual conference of the Australian Association for Research in Education, Adelaide, Australia. Kaput, J.J. (1992). Technology and mathematics education. In D.A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 515–556). New York: Macmillan. Laborde, C. (2001). Integration of technology in the design of geometry tasks with Cabri-Geometry. International Journal of Computers for Mathematical Learning, 6, 283–317. Leatham, K.R. (2002). Preservice secondary mathematics teachers’ beliefs about teaching with technology. Unpublished doctoral dissertation. University of Georgia, Athens, Georgia. Leatham, K.R. (2006). Viewing mathematics teachers’ beliefs as sensible systems. Journal of Mathematics Teacher Education, 9, 91–102. Lowther, D.L., & Sullivan, H.J. (1994). Teacher and technologist beliefs about educational technology. Educational Technology Research and Development, 42(4), 73–87. McKenzie, J. (1994). Teflon learning and point-and-click software. From Now On: The Educational Technology Journal, 5. Available: https://doi.org/www.fno.org/FNONov94.html (accessed 26 February 2007). Mewborn, D.S. (2002, April). Examining mathematics teachers’ beliefs through multiple lenses. Paper presented at the Annual Meeting of the American Educational Research Association, New Orleans, LA. National Council of Teachers of Mathematics. (1991). Professional standards for teaching mathematics. Reston, VA: Author. National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author. Pajares, M.F. (1992). Teachers’ beliefs and educational research: Cleaning up a messy construct. Review of Educational Research, 62, 307–332. Passey, D. (2000). Developing teaching strategies for distance (out-of-school) learning in primary and secondary schools. Educational Media International, 37, 45–57. Peck, C., Cuban, L., & Kirkpatrick, H. (2002). Techno-promoter dreams, student realities. Phi Delta Kappan, 83, 472–480. Pflaum, B. (2001). How is technology impacting student performance. School Planning and Management, 40(12), 41–43. Raymond, A.M. (1997). Inconsistency between a beginning elementary school teacher’s mathematics beliefs and teaching practice. Journal for Research in Mathematics Education, 28, 550–576. Rokeach, M. (1968). Beliefs, attitudes, and values: A theory of organization and change. San Francisco, CA: Jossey-Bass. Seidman, I. (1998). Interviewing as qualitative research: A guide for researchers in education and the social sciences (2nd ed.). New York: Teachers College Press. Skott, J. (2001, June). Why belief research raises the right question but provides the wrong type of answer. Paper presented at the 3rd Nordic Conference on Mathematics Education, Kristianstad, Sweden. Stake, R.E. (1995). The art of case study research. Thousand Oaks, CA: Sage. Thompson, A.G. (1992). Teachers’ beliefs and conceptions: A synthesis of the research. In D.A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 127–146). New York: Macmillan. Thagard, P. (2000). Coherence in thought and action. Cambridge, MA: MIT Press. Turner, P., & Chauvot, J. (1995). Teaching with technology: Two preservice teachers’ beliefs. Paper presented at the Seventeenth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Columbus, OH. US Department of Education. (2000). Teacher use of computers and the Internet in public schools (No. NCES 2000-090). Washington, DC: Author. Vacc, N.N., & Bright, G.W. (1999). Elementary preservice teachers’ changing beliefs and instructional use of children’s mathematical thinking. Journal for Research in Mathematics Education, 30, 89–110. Vannatta, R.A., & Fordham, N. (2004). Teacher dispositions as predictors of classroom technology use. Journal of Research on Technology in Education, 36, 253–271. Wang, L., Ertmer, P.A., & Newby, T.J. (2004). Increasing preservice teachers’ self-efficacy beliefs for technology integration. Journal of Research on Technology in Education, 36, 231–250.