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Digital Technology in Teaching Mathematical Competency: A Paradigm Shift

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Teaching and Learning Secondary School Mathematics

Part of the book series: Advances in Mathematics Education ((AME))

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Abstract

I analyze a simple classroom situation in which students in a mathematics classroom use a computer application to engage in a mathematical activity. The technology allowed the students to engage in deeper mathematical thinking than was previously possible, but this depth went unappreciated because of the institutional socialization of the teacher to evaluate the students quantitatively based on content rather than qualitatively based on critical thinking. New digital technology has made possible a reconceptualization of what it means to do and to learn mathematics. These changes in technologies, however, do not align with the expected requirements of teaching. This chapter looks at evaluation of mathematical knowledge by a teacher as a sociopolitical issue, for new developments in digital technology have made some perennial challenges, such as evaluation, more pronounced.

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Notes

  1. 1.

    Justinian, Digest, 1.1.10 (AD 530–533): Iustitia est. constans et perpetua voluntas ius suum cuique tribuendi ([The virtue of] justice is the constant and perpetual will to render to each his due.) See also first sentence of Justinian, Institutes (AD 535).

References

  • Boylan, M. (2007). Teacher questioning in communities of political practice. Philosophy of Mathematics Education Journal, 20. Retrieved from http://socialsciences.exeter.ac.uk/education/research/centres/stem/publications/pmej/pome20/index.htm

  • British Columbia Ministry of Education. (2015). Building student success – BC’s new curriculum. Victoria: Queen’s Printer. Retrieved from https://curriculum.gov.bc.ca/curriculum/mathematics/9

  • Gutierrez, R. (2013). The sociopolitical turn in mathematics education. Journal for Research in Mathematics Education, 44(1), 37–68.

    Article  Google Scholar 

  • Jackiw, N. (2001). The Geometer’s Sketchpad. Emeryville: Key Curriculum Press.

    Google Scholar 

  • McGarvey, L. M. (2014). Intentional play-spaces for teaching/learning mathematics with young children. For the Learning of Mathematics, 34(2), 9–11.

    Google Scholar 

  • Ng, O., & Sinclair, N. (2015). Young children reasoning about symmetry in a dynamic geometry environment. ZDM – The International Journal on Mathematics Education, 51(3), 421–434.

    Article  Google Scholar 

  • Rotman, B. (2008). Becoming beside ourselves: The alphabet, ghosts, and distributed human beings. Durham: Duke University Press.

    Book  Google Scholar 

  • Sinclair, N., Bartolini Bussi, M., de Villiers, M., Jones, K., Kortenkamp, U., Leung, A., & Owens, K. (2016). Recent research on geometry education: An ICME13 survey team report. ZDM – The International Journal on Mathematics Education, 48(5), 691–719.

    Article  Google Scholar 

  • Sternberg, R., & Zhang, L. F. (Eds.). (2001). Perspectives on thinking, learning, and cognitive styles. London: Lawrence Erlbaum.

    Google Scholar 

  • William, D. (2003). Constructing difference: Assessment in mathematics education. In L. Burton (Ed.), Which way social justice in mathematics education? (pp. 189–207). Westport: Praeger.

    Google Scholar 

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Correspondence to Sean Chorney .

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Chorney, S. (2018). Digital Technology in Teaching Mathematical Competency: A Paradigm Shift. In: Kajander, A., Holm, J., Chernoff, E. (eds) Teaching and Learning Secondary School Mathematics. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-92390-1_24

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  • DOI: https://doi.org/10.1007/978-3-319-92390-1_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-92389-5

  • Online ISBN: 978-3-319-92390-1

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