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Adapting technological pedagogical content knowledge framework to teach mathematics

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Abstract

The technological pedagogical content knowledge framework is increasingly in use by educational technology researcher as a generic description of the knowledge requirements for teachers using technology in all subjects. This study describes the development of a mathematics specific variety of the technological pedagogical content knowledge framework. The paper showed how a particular conception of the knowledge required to teach mathematics can be integrated with the technological pedagogical content knowledge framework as the basis for understanding technology integrated mathematics teaching. The resulting framework provides a sharper lens than the generic technological pedagogical content knowledge framework alone and a better understanding of the knowledge required for teachers of mathematics to use technology in their teaching. The study illustrated how the framework may be useful for analysing the knowledge demands of particular mathematics teaching tasks, and for planning appropriate professional development for integrating technology in the teaching of mathematics.

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References

  • An, S., Kulm, G., & Wu, Z. (2004). The pedagogical content knowledge of middle school, mathematics teachers in China and the US. Journal of Mathematics Teacher Education, 7(2), 145–172.

    Article  Google Scholar 

  • Author (2015). Education and information technologies.

  • Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching what makes it special? Journal of Teacher Education, 59(5), 389–407. doi:10.1177/0022487108324554.

    Article  Google Scholar 

  • Barrett, T. (2005). Understanding problem-based learning. In T. Barrett, I. Mac Labhrainn, & H. Fallon (Eds.), Handbook of enquiry & problem-based learning (pp. 13–25). Galway: CELT.

    Google Scholar 

  • Chee, C., Horani, S., & Daniel, J. (2005). A study on the use of ICT in mathematics teaching. Malaysian Online Journal of Instructional Technology, 2(3), 43–51.

    Google Scholar 

  • Chick, H. (2011). God-like educators in a fallen world. Paper presented at the 2011 annual conference of the Australian Association for Research in Education, Hobart, Tasmania.

  • Chick, H., Baker, M., Pham, T., & Cheng, H. (2006). Aspects of teachers’ pedagogical content knowledge for decimals. Paper presented at the In Proceedings of the 30th annual conference of the International Group for the Psychology of Mathematics Education, Prague.

  • Forster, P. A. (2006). Assessing technology-based approaches for teaching and learning mathematics. International Journal of Mathematical Education in Science and Technology, 37(2), 145–164. doi:10.1080/00207390500285826.

    Article  MathSciNet  Google Scholar 

  • Getenet, S., Beswick, K., & Callingham, R. (2015). Conceptualising technology integrated mathematics teaching: The stamp knowledge framework. In K. Beswick, T. Muir, & J. Wells (Eds.), Proceedings of the 39th Conference of the International Group for the Psychology of Mathematics Education (2), 321–328. Hobart: PME

  • Guerrero, S. (2010). Technological pedagogical content knowledge in the mathematics classroom. Journal of Digital Learning in Teacher Education, 26(4), 132–139.

    Google Scholar 

  • Hill, H. C., Schilling, S. G., & Ball, D. L. (2004). Developing measures of teachers' mathematics knowledge for teaching. The Elementary School Journal, 105(1), 11–30. doi:10.1086/428763.

    Article  Google Scholar 

  • Hohenwarter, J., Hohenwarter, M., & Lavicza, Z. (2009). Introducing dynamic mathematics software to secondary school teachers: The case of GeoGebra. Journal of Computers in Mathematics and Science Teaching, 28(2), 135–146.

    Google Scholar 

  • Jang, S.-J., & Chen, K.-C. (2010). From PCK to TPACK: Developing a transformative model for pre-service science teachers. Journal of Science Education and Technology, 19(6), 553–564. doi:10.1007/s10956-010-9222-y.

    Article  Google Scholar 

  • Johnston, J., & Ahtee, M. (2006). Comparing primary student teachers’ attitudes, subject knowledge and pedagogical content knowledge needs in a physics activity. Teaching and Teacher Education, 22(4), 503–512. doi:10.1016/j.tate.2005.11.015.

    Article  Google Scholar 

  • Jong, O. D., Van Driel, J. H., & Verloop, N. (2005). Preservice teachers' pedagogical content knowledge of using particle models in teaching chemistry. Journal of Research in Science Teaching, 42(8), 947–964.

    Article  Google Scholar 

  • Kadijevich, D. M. (2012). TPCK framework: Assessing teachers' knowledge and designing courses for their professional development. British Journal of Educational Technology, 43(1), 28–30. doi:10.1111/j.1467-8535.2011.01246.x.

    Article  Google Scholar 

  • Mishra, P., & Koehler, M. J. (2006). Technological pedagogical content knowledge: A framework for teacher knowledge. Teachers College Record, 108(6), 1017–1054.

    Article  Google Scholar 

  • Park, S., Jang, J.-Y., Chen, Y.-C., & Jung, J. (2011). Is pedagogical content knowledge (PCK) necessary for reformed science teaching? Evidence from an empirical study. Research in Science Education, 41(2), 245–260. doi:10.1007/s11165-007-9049-6.

    Article  Google Scholar 

  • Rowland, T., & Turner, F. (2007). Developing and using the ‘knowledge quartet’: A framework for the observation of mathematics teaching. The Mathematics Educator, 10(1), 107–123.

    Google Scholar 

  • Schmidt, D. A., Evrim, B., Ann, D. T., Punya, M., Matthew, J. K., & Tae, S. S. (2010). Technological pedagogical content knowledge (TPACK): The development and validation of an assessment instrument for preservice teachers. Journal of Research on Technology in Education, 42(2), 123.

    Article  Google Scholar 

  • Shulman, L. S. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57(1), 1–22.

    Article  Google Scholar 

  • Thompson, A., & Mishra, P. (2007). Breaking news: TPCK becomes TPACK! Journal of Computing in Teacher Education, 24(2), 38.

    Google Scholar 

  • Tondeur, J., Van Braak, J., & Valcke, M. (2007). Curricula and the use of ICT in education: Two worlds apart? British Journal of Educational Technology, 38(6), 962–976. doi:10.1111/j.1467-8535.2006.00680.x.

    Article  Google Scholar 

  • Williams, D., Coles, L., Wilson, K., Richardson, A., & Tuson, J. (2000). Teachers and ICT: Current use and future needs. British Journal of Educational Technology, 31(4), 307–320. doi:10.1111/1467-8535.00164.

    Article  Google Scholar 

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Acknowledgments

The author acknowledge the contribution of Professor Kim Beswick and Associate Professor Rosemary Callingham to the research reported in this paper.

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Correspondence to Seyum Tekeher Getenet.

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Getenet, S.T. Adapting technological pedagogical content knowledge framework to teach mathematics. Educ Inf Technol 22, 2629–2644 (2017). https://doi.org/10.1007/s10639-016-9566-x

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