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Role of Technology in Calculus Teaching: Beliefs of Novice Secondary Teachers

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Views and Beliefs in Mathematics Education

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Abstract

The appearance of portable technological tools has given rise to a growing body of research at various levels of mathematics education. The entry of these innovations has implications for the teaching and learning of mathematics posing a challenge for all participants in the classroom. With particular attention to graphing and computer-algebra technology, this report focuses on teachers’ beliefs and their intended instructional planning towards their teaching of calculus at upper-secondary level. First the theoretical framework and methodology is outlined. Afterwards the focus lies on studying how and why secondary-level teachers actually employ the technological device in the teaching and learning of calculus as the central part of upper-secondary mathematics courses in Germany. Results from a qualitative study of pre-service and trainee teachers will be discussed centred on how their beliefs on the role of technology correlate with beliefs on secondary level calculus teaching.

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References

  • Artigue, M. (2002). Learning mathematics in a CAS environment: The genesis of a reflection about instrumentation and the dialectics between technical and conceptual work. International Journal of Computers for Mathematical Learning, 7, 245–274.

    Article  Google Scholar 

  • Eichler, A., & Erens, R. (2014). Teachers’ beliefs towards teaching calculus. ZDM–The International Journal on Mathematics Education, 46(4), 647–659. https://doi.org/10.1007/s11858-014-0606-y

    Article  Google Scholar 

  • Eichler, A., & Erens, R. (2015). Domain-specific belief systems of secondary mathematics teachers. In B. Pepin & B. Roesken-Winter (Eds.), From beliefs to dynamic affect systems in mathematics education (pp. 179–200). Dordrecht: Springer.

    Google Scholar 

  • Glaser, B., & Strauss, A. (1967). The discovery of grounded theory. Chicago: Aldine.

    Google Scholar 

  • Goos, M., & Soury-Lavergne, S. (2010). Teachers and teaching: Theoretical perspectives and issues concerning classroom implementation. In C. Hoyles & J.-B. Lagrange (Eds.), Mathematics education and technology–rethinking the terrain. The 17th ICMI study (pp. 311–328). Dordrecht: Springer. https://doi.org/10.1007/978-1-4419-0146-0_14

    Chapter  Google Scholar 

  • Green, T. (1971). The activities of teaching. New York, NY: McGraw-Hill.

    Google Scholar 

  • Gueudet, G., Bosch, M., Disessa, A., Kwon, O. N., & Verschaffel, L. (2016). Transitions in mathematics education. In Transitions in mathematics education (pp. 1–32). Switzerland: Springer International Publishing.

    Chapter  Google Scholar 

  • Hannula, M. S. (2012). Exploring new dimensions of mathematics-related affect: Embodied and social theories. Research in Mathematics Education, 14(2), 137–161.

    Article  Google Scholar 

  • Heckhausen, H., & Gollwitzer, P. M. (1987). Thought contents and cognitive functioning in motivational versus volitional states of mind. Motivation and Emotion, 11(2), 101–120.

    Article  Google Scholar 

  • Kunter, M., Baumert, J., Blum, W., Klusmann, U., Krauss, S., & Neubrand, M. (2013). Cognitive activation in the mathematics classroom and professional competence of teachers: Results from the COACTIV project. New York; London: Springer Science & Business Media.

    Book  Google Scholar 

  • Levin, B. (2015). The development of teachers’ beliefs. In H. Fives & M. G. Hill (Eds.), International handbook of research on teachers’ beliefs (pp. 48–65). New York: Taylor and Francis Routledge.

    Google Scholar 

  • Mayring, P. (2015). Qualitative content analysis: Theoretical background and procedures. In A. Bikner-Ahsbahs, C. Knipping, & N. C. Presmeg (Eds.), Approaches to qualitative research in mathematics education (pp. 365–380). Advances in Mathematics Education). Dordrecht: Springer.

    Google Scholar 

  • Pajares, M. F. (1992). Teachers’ beliefs and educational research: Cleaning up a messy construct. Review of Educational Research, 62(3), 307–332.

    Article  Google Scholar 

  • Philipp, R. A. (2007). Mathematics teachers’ beliefs and affect. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 257–315). Charlotte, NC: Information Age Publishing.

    Google Scholar 

  • Richardson, V. (2003). Preservice teachers’ beliefs. In J. Raths & A. McAninch (Eds.), Teacher beliefs and classroom performance: The impact of teacher education (Vol. 6, pp. 1–22). Greenwich, CT: Information Age.

    Google Scholar 

  • Skott, J. (2015). The promises, problems, and prospects of research on teachers’ beliefs. In H. Fives & M. G. Hill (Eds.), International handbook of research on teachers’ beliefs (pp. 13–30). New York: Taylor and Francis Routledge.

    Google Scholar 

  • Speer, N. M. (2005). Issues of methods and theory on the study of mathematics teachers’ professed and attributed beliefs. Educational Studies in Mathematics, 58, 361–391. https://doi.org/10.1007/s10649-005-2745-0

    Article  Google Scholar 

  • Tall, D. (2008). Technology and calculus. In M. K. Heid & G. W. Blume (Eds.), Research on technology and the teaching and learning of mathematics: Synthesis, cases and perspectives (Vol. 1.: Research synthesis, pp. 207–258). Charlotte, NC: Information Age Publishing.

    Google Scholar 

  • Trouche, L. (2005). Instrumental genesis, individual and social aspects. In D. Guin, K. Ruthven, & L. Trouche (Eds.), The didactical challenge of symbolic calculators (pp. 197–230). New York: Springer Science & Business Media US.

    Chapter  Google Scholar 

  • Trouche, L., & Drijvers, P. (2010). Handheld technology for mathematics education: Flashback into the future. ZDM–The International Journal on Mathematics Education, 42(7), 667–681.

    Article  Google Scholar 

  • Wilson, M. S. & Cooney, T. J. (2002). Mathematics teacher change and development. the role of beliefs. In Leder, G, Pehkonen, E., & Törner, G. (Eds.). Beliefs: A hidden variable in mathematics education? (pp. 127–148). Dordrecht, The Netherlands: Kluwer.

    Google Scholar 

  • Zbiek, R. M., Heid, M. K., Blume, G., & Dick, T. P. (2007). Research on technology in mathematics education: The perspective of constructs. In F. K. Lester (Ed.), Second handbook of research in mathematics teaching and learning (pp. 1169–1207). Charlotte, NC: Information Age Publishing.

    Google Scholar 

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Author information

Authors and Affiliations

  1. University of Education Freiburg, Freiburg im Breisgau, Germany

    Ralf Erens

  2. University of Kassel, Kassel, Germany

    Andreas Eichler

Authors
  1. Ralf Erens
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  2. Andreas Eichler
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Correspondence to Ralf Erens .

Editor information

Editors and Affiliations

  1. Institute of Mathematics Education, University of Cologne, Cologne, Nordrhein-Westfalen, Germany

    Benjamin Rott

  2. Faculty of Mathematics, University of Duisburg-Essen, Essen, Nordrhein-Westfalen, Germany

    Günter Törner

  3. Faculty of Mathematics, Universität Duisburg-Essen, Essen, Nordrhein-Westfalen, Germany

    Joyce Peters-Dasdemir

  4. Faculty of Mathematics, University of Duisburg-Essen, Essen, Nordrhein-Westfalen, Germany

    Anne Möller

  5. Institute of Mathematics Education, University of Cologne, Cologne, Nordrhein-Westfalen, Germany

    Safrudiannur

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Erens, R., Eichler, A. (2018). Role of Technology in Calculus Teaching: Beliefs of Novice Secondary Teachers. In: Rott, B., Törner, G., Peters-Dasdemir, J., Möller, A., Safrudiannur (eds) Views and Beliefs in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-01273-1_20

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  • DOI: https://doi.org/10.1007/978-3-030-01273-1_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-01272-4

  • Online ISBN: 978-3-030-01273-1

  • eBook Packages: EducationEducation (R0)

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