Research into mathematical applications and modelling

Book chapter

Stillman, Gloria Ann, Brown, Jill Patricia, Galbraith, Peter and Ng, Kit Ee Dawn. (2016). Research into mathematical applications and modelling. In In K. Makar, S. Dole and J. Visnovska, M. Goos, A. Bennison & K. Fry (Ed.). Research in mathematics education in Australasia 2012-2015 pp. 281 - 304 Springer Science and Business Media. https://doi.org/10.1007/978-981-10-1419-2_14
AuthorsStillman, Gloria Ann, Brown, Jill Patricia, Galbraith, Peter and Ng, Kit Ee Dawn
EditorsK. Makar, S. Dole and J. Visnovska, M. Goos, A. Bennison & K. Fry
Abstract

Using mathematics to solve or make sense of real-world problem situations and examining how mathematics has been used in context is of growing interest and importance in research within Australasia. Simultaneously curricula writers are increasingly recognising the importance of educating mathematically literate citizens of the world who can solve real-world problems. This chapter considers the different perspectives on teaching through mathematical modelling and applications and briefly reviews exemplary literature focusing on the teaching of mathematical modelling and applications. Not surprisingly, clear differences emerge in classroom practices engaged in applications, using known mathematics, versus modelling—where the mathematics that might be useful needs to be determined by the student. Theoretical developments in the field are reviewed. Recently, the research field has expanded from being mainly school focused to include pre-service and in-service teacher education. Methodological tools used in modelling and applications research that are being adopted or adapted in the region are then reviewed. Finally, the current positive state of Australasian modelling and applications research and its progress since last being reviewed in 2008 is discussed with an eye to possible future developments.

Page range281 - 304
Year2016
Book titleResearch in mathematics education in Australasia 2012-2015
PublisherSpringer Science and Business Media
Place of publicationSingapore
ISBN9789811014178
Digital Object Identifier (DOI)https://doi.org/10.1007/978-981-10-1419-2_14
Research GroupInstitute for Learning Sciences and Teacher Education (ILSTE)
Publisher's version
File Access Level
Controlled
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Brown, Jill Patricia. (2005). Identification of affordances of a technology-rich teaching and learning environment (TRTLE). In H. Chick and J. Vincent (Ed.). Proceedings of the 29th annual conference of the International Group for the Psychology of Mathematics Education (PME). Melbourne, Australia: International Group for the Psychology of Mathemati.... pp. 185 - 192
Enabling teachers to perceive the affordances of a technologically rich learning environment for linear functions in order to design units of work incorporating best practice
Brown, Jill Patricia. (2004). Enabling teachers to perceive the affordances of a technologically rich learning environment for linear functions in order to design units of work incorporating best practice. In W. C. Yang, S. C. Chu and T. de Alwis (Ed.). Proceedings of the 9th Asian Technology Conference in Mathematics. Singapore, Singapore: Advanced Technology Council in Mathematics Inc. pp. 242 - 251
A difficult function
Brown, Jill. (2004). A difficult function. Australian Mathematics Teacher. 60(2), pp. 6 - 11.
Teacher approaches to graphing a difficult cubic function
Brown, Jill Patricia. (2004). Teacher approaches to graphing a difficult cubic function. In I. Putt, R. Faragher and M. McLean (Ed.). Mathematics Education for the third millennium: Towards 2010, Proceedings of the 27th annual conference of the Mathematics Education Research Group of Australasia. Townsville, Australia: Mathematics Education Research Group of Australasia. pp. 111 - 118
Can the notion of affordances be of use in the design of a technology enriched mathematics curriculum?
Stillman, Gloria, Brown, Jill Patricia and Herberts, Sandra. (2004). Can the notion of affordances be of use in the design of a technology enriched mathematics curriculum? In I. Putt, R. Faragher and M. McLean (Ed.). Mathematics Education for the third millennium: Towards 2010, Proceedings of the 27th annual conference of the Mathematics Education Research Group of Australasia. Townsville, Australia: Mathematics Education Research Group of Australasia. pp. 119 - 126
Defining moments in determining a complete graph in a graphing calculator teaching and learning environment
Brown, Jill Patricia. (2003). Defining moments in determining a complete graph in a graphing calculator teaching and learning environment. In L. Bragg, C. Campbell and G. Herbert (Ed.). Mathematics Education Research: Innovation, networking, opportunity. Proceedings of the 26th annual conference of the Mathematics Education Research Group of Australasia (MERGA). Geelong, Australia: Mathematics Education Research Group of Australasia. pp. 168 - 175