Skip to main content

Investigating the Teaching and Learning of Mathematics

  • Chapter
The Future of Educational Research

Part of the book series: Bold Visions in Educational Research ((BVER))

  • 1480 Accesses

Abstract

A reader from outside mathematics education research may be surprised at the diversity within the chapters in this section. There is a long tradition of educational research into the teaching and learning of mathematics, beginning with cognitive issues associated with mathematical content and its impact on the learning of different topics, and moving towards a consideration of broader issues in an effort to understand better the myriad factors that influence what takes place in mathematics learning environments.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  • Gibson, J. J. (1977). The theory of affordances. In R. Shaw & J. Bransford (Eds.), Perceiving, acting and knowing: Toward an ecological psychology (pp. 67–82). Hillsdale, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Greer, B. (2001). Understanding probabilistic thinking: The legacy of Efraim Fischbein. Educational Studies in Mathematics, 45, 15–33.

    Article  Google Scholar 

  • Kahneman, D., & Tversky, A. (1982). Subjective probability: A judgement of representativeness. In D. Kahneman, P. Slovic, & A. Tversky (Eds.), Judgement under uncertainty: Heuristics and biases (pp. 32–47). New York: Cambridge University Press.

    Chapter  Google Scholar 

  • Kilpatrick, J. (1992). A history of research in mathematics education. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 3–38). New York: Macmillan.

    Google Scholar 

  • Konold, C., & Pollatsek, A. (2002). Data analysis as the search for signals in noisy processes. Journal for Research in Mathematics Education, 33, 259–289.

    Article  Google Scholar 

  • Konold, C., & Miller, C. D. (2005). TinkerPlots: Dynamic data exploration. [Computer software] Emeryville, CA: Key Curriculum Press.

    Google Scholar 

  • Lampert, M. (2001). Teaching problems and the problems of teaching. New Haven, CT: Yale University Press.

    Google Scholar 

  • Leder, G., & Forgasz, H. (2006). Affect and mathematics education. In A. Gutiérrez & P. Boero (Eds.), Handbook of research on the psychology of mathematics education. Past, present and future (pp. 403–427). Rotterdam, The Netherlands: Sense.

    Google Scholar 

  • Lomas, G., Grootenboer, P., & Attard, C. (2012). The affective domain and mathematics education. In B. Perry, T. Lowrie, T. Logan, A. MacDonald, & J. Greenlees (Eds.), Research in mathematics education in Australasia 2008–2011 (pp. 23–37). Rotterdam, The Netherlands: Sense.

    Google Scholar 

  • Mason, J., & Johnston-Wilder, S. (Eds.). (2004). Fundamental constructs in mathematics education. London: RoutledgeFalmer.

    Google Scholar 

  • McIntosh, A., & Dole, S. (2005). Mental computation: A strategies approach (Modules 1–6). Hobart, TAS: Department of Education, Tasmania.

    Google Scholar 

  • Perry, P., Lowrie, T., Logan, T., MacDonald, A., & Greenlees, J. (2012). Introduction. In B. Perry, T. Lowrie, T. Logan, A. MacDonald, & J. Greenlees (Eds.), Research in mathematics education in Australasia 2008–2011 (pp. 1–11). Rotterdam, The Netherlands: Sense.

    Google Scholar 

  • Reys, R. E. (1984). Mental computation and estimation: Past, present and future. Elementary School Journal, 84, 546–557.

    Article  Google Scholar 

  • Rothman, S. (2003, April). The changing influence of socioeconomic status on student achievement: Recent evidence from Australia. Paper presented at the annual meeting of the American Education Research Association, Chicago.

    Google Scholar 

  • Silver, E. A., & Herbst, P. G. (2007). Theory in mathematics education scholarship. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 39–67). Charlotte, NC: Information Age.

    Google Scholar 

  • Stacey, K., Helme, S., Archer, S., & Condon, C. (2001). The effect of epistemic fidelity and accessibility on teaching with physical materials: A comparison of two models for teaching decimal numeration. Educational Studies in Mathematics, 47(2), 199–221.

    Article  Google Scholar 

  • Sui-Chu, E. H., & Willms, J. D. (1996). Effects of parental involvement on eighth-grade achievement. Sociology of Education, 69(2), 126–141.

    Article  Google Scholar 

  • Thomson, S., & Buckley, S. (2007). Informing mathematics pedagogy: TIMSS 2007 Australia and the world. Camberwell, Victoria: Australian Council for Educational Research.

    Google Scholar 

  • Thomson, S., de Bortoli, L., Nicholas, M., Hillman, K., & Buckley, S. (2011). Challenges for Australian education: Results from PISA 2009. Camberwell, VIC: Australian Council for Educational Research.

    Google Scholar 

  • van den Heuvel-Panhuizen, M. (2000). Mathematics education in the Netherlands: A guided tour. Freudenthal Institute CD-ROM for ICME9. Utrecht, The Netherlands: Utrecht University.

    Google Scholar 

  • Watson, J. M., & Fitzallen, N. E. (2010). Development of graph understanding in the mathematics curriculum. Report for the NSW Department of Education and Training, Sydney: NSW Department of Education and Training. Retrieved from http://www.curriculumsupport.education.nsw.gov.au/primary/mathematics/assets/pdf/dev_graph_undstdmaths.pdf

  • Watson, J., Kelly, B., Callingham, R., & Shaughnessy, J. (2003). The measurement of school students’ understanding of statistical variation. International Journal of Mathematics Education in Science and Technology, 34, 1–29.

    Article  Google Scholar 

  • Wiliam, D., & Lester, F. K. (2008). On the purpose of mathematics education research: Making productive contributions to policy and practice. In L. English (Ed.), Handbook of international research in mathematics education (2nd ed.) (pp. 32–48). New York: Routledge.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Sense Publishers

About this chapter

Cite this chapter

Chick, H. (2014). Investigating the Teaching and Learning of Mathematics. In: The Future of Educational Research. Bold Visions in Educational Research. SensePublishers, Rotterdam. https://doi.org/10.1007/978-94-6209-512-0_18

Download citation

Publish with us

Policies and ethics