Abstract
In Unit 1 we reflected upon the gap between research and practice and reviewed recent efforts to close this gap by reconceptualising mathematics education research as a design research (Unit 4). In Chapter 1.1 we began a discussion about the essential role of discovery learning in conducting teaching research, in this chapter we reflect upon discovery learning as an important tool in the effort by constructivist pedagogy to reform mathematics education.
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References
Abrahamson, D., Gutiérrez, J. F., Charoenying, T., Negrete, A. G., & Bumbacher, E. (2012). Fostering hooks and shifts: Tutorial tactics for guided mathematical discovery. Technology, Knowledge, and Learning, 17(12), 61–86.
Dean, D., & Kuhn, D. (2006). Direct instruction vs. Discovery: The long view. Science Education, 91, 384–397.
Ernest, P. (1997). The epistemological basis of qualitative research inn mathematics education: A post modern perspective (Qualitative Research Methods in Mathematics Education). Journal for Research in Mathematics Education (Monograph, 9), 22–177.
Gilles, R., & Haynes, M. (2011). Increasing explanatory behaviour, problem-solving, and reasoning within classes using cooperative group work. Instructional Science, 39, 349–366.
Goldin, G. A. (2003). Developing complex understanding: On the relation of mathematical education research to mathematics. Educational Studies in Mathematics, 54, 171–202.
Hmelo-Silver, C. E., Duncan, R. G., & Chinn, C., A. (2007). Scaffolding and achievement in problem-based and inquiry learning: A response to Kirschner, Sweller, and Clark (2006). Educational Psychologist, 42(2), 99–107.
Karagiorgi, Y., & Symeou, L. (2005). Translating constructivism into instructional design: Potential and limitations. Educational Technology and Society, 8(1), 17–27.
Kirschner, P. A., Sweller, J., & Clark, R. E. (2006). Why minimal guidance during instruction does not work: An analysis of the failure of constructivist, discovery, problem-based, experiential, and inquiry-based teaching. Educational Psychologist, 41, 75–86.
Klahr, D., & Nigam, M. (2004). The equivalence of learning paths in early science instruction: Effects of direct instruction and discovery learning. Psychology Science, 15, 661–667.
Klein, D. (2007). A quarter century of US ‘math wars’ and political partisanship. BSHM Bulletin Journal for British Society of the History of Mathematics, 22(1), 22–33.
Laursen, S. (2013, November 24–29). From innovation to implementation: Multi-institution pedagogical reform in undergraduate mathematics. The 9th Delta Conference on teaching and learning of undergraduate mathematics and statistics, Kiama, Australia. Retrieved July 1, 2015 from http://www.colorado.edu/eer/research/documents/LaursenInnovationToImplementation_Delta2013.pdf
Laursen, S. L., & Kogan, M. (2013). Assessing long-term effects of inquiry-based learning: A case study from college mathematics. Innovative Higher Education, 39(3), 183–199.
Laursen, S. L., Hassi, M. L., Kogan, M., & Weston, T. J. (2014). Benefits for women and men of inquiry – based learning in college mathematics: A multi-institution study. Journal of Research in Mathematics Education, 45(4), 406–418.
Lesh, R., & Sriraman, B. (2010). On re-conceptualizing mathematics education as a design science. In B. Sriramen & L. English (Eds.), Theories of mathematics education: Seeking new frontiers (pp. 121–122). Berlin, Heidelberg: Springer Verlag.
Mahavier, T. (1997). A gentle discovery method (The Modified Moore Method). College Teaching, 45(4), 132–139.
Meyer, R. (2004). Should there be a three-strikes rule against pure discovery learning? The case for guided methods of instruction. American Psychologist, 29(1), 14–19.
Norton A., & D’Ambrosio, B. (2008). ZPC and ZPD: Zones of teaching and learning. Journal for Research in Mathematics Education, 39(3), 220–246.
Ramai, R (2006). Twelve documents in the math wars, 1989–2006. Retrieved from http://www.math.rochester.edu/people/faculty/rarm/debate_appendix.html
Richardson, V. (2003). Constructivist pedagogy. Teachers College Record, 105(9), 1623–1640.
Zitarelli, D. (2004). The origins and early impact of the Moore method. The American Mathematical Monthly, 111(6), 465–486.
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Baker, W. (2016). Discovery Method and Teaching-Research. In: Czarnocha, B., Baker, W., Dias, O., Prabhu, V. (eds) The Creative Enterprise of Mathematics Teaching Research. SensePublishers, Rotterdam. https://doi.org/10.1007/978-94-6300-549-4_21
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DOI: https://doi.org/10.1007/978-94-6300-549-4_21
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