Research into the teaching and learning of applications and modelling in Australasia

Book chapter

Stillman, Gloria, Brown, Jill Patricia and Galbraith, Peter. (2008). Research into the teaching and learning of applications and modelling in Australasia. In Research in Mathematics Education in Australasia 2004-2007 pp. 141 - 164 Sense Publishers.

Authors	Stillman, Gloria, Brown, Jill Patricia and Galbraith, Peter
Page range	141 - 164
Year	2008
Book title	Research in Mathematics Education in Australasia 2004-2007
Publisher	Sense Publishers
Place of publication	Rotterdam, The Netherlands
Research Group	School of Education
Publisher's version	File Access Level Controlled

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Survey of interdisciplinary aspects of the teaching and learning of mathematical modelling in mathematics education

Stillman, Gloria Ann, Ikeda, Toshikazu, Schukajlow, Stanislaw, de Loiola Araújo, Jussara and Ärlebäck, Jonas Bergman. (2023). Survey of interdisciplinary aspects of the teaching and learning of mathematical modelling in mathematics education. In In Greefrath, Gilbert, Carreira, Susana and Stillman, Gloria Ann (Ed.). Advancing and Consolidating Mathematical Modelling : Research from ICME-14 pp. 21 - 41 Springer Science and Business Media B.V.. https://doi.org/10.1007/978-3-031-27115-1_2

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State of the art on modelling in mathematics education--lines of inquiry

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A modelling challenge: students modelling problems of their choice

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Verification and validation: what do we mean?

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Empirical research on teaching and learning of mathematical modelling:a survey on the current state-of-the-art

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Teaching secondary school mathematics : Research and practice for the 21st century

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Context and understanding: the case of linear models

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Developing the roots of modelling conceptions: 'mathematical modelling is the life of the world'

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The primacy of 'noticing': a key to successful modelling

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Cultural, social, cognitive and research influences on mathematical modelling education

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Problem finding and problem posing for mathematical modelling

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Student strategies in enacting affordances

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Mathematical modeling in school education: Mathematical, cognitive, curricular, instructional and teacher educational perspectives

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Affordances: Ten Years On

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Views of cognition: Different lenses for 'looking-in' on classrooms

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Evidence of implemented anticipation in mathematising by beginning modellers

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Mathematical modelling: Connecting to teaching and research practices - the impact of globalisation

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Challenges in modelling challenges: Intents and purposes

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The role of textbooks in developing a socio-critical perspective on mathematical modelling in secondary classrooms

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Inducting year 6 students into a culture of mathematising as a practice

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Implementation of IBL in Europe from an Australasian perspective

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Teaching roles in technology-rich teaching and learning environments (TRTLE's)

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Demonstration lessons in mathematics education: Teachers' observation foci and intended changes in practice

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Mathematical modelling: Some issues and reflections

Stillman, Gloria and Galbraith, Peter. (2012). Mathematical modelling: Some issues and reflections. In In W Blum, R B Ferri and K Maass (Ed.). pp. 97 - 105 Springer.

Empirical evidence for Niss' implemented anticipation in mathematising realistic situations

Stillman, Gloria and Brown, Jill P.. (2012). Empirical evidence for Niss' implemented anticipation in mathematising realistic situations. In J. Dindyal, L. P. Cheng and S. F. Ng (Ed.). Mathematics education: Expanding horizons. Melbourne, Australia: Mathematics Education Research Group of Australasia. pp. 682 - 689

Editorial: To engage or not to engage

Stillman, Gloria and Brown, Jill. (2012). Editorial: To engage or not to engage. Australian Senior Mathematics Journal. 26(1), pp. 1 - 5.

Editorial: Envisioning the future of the mathematical sciences and mathematics teaching

Brown, Jill and Stillman, Gloria. (2012). Editorial: Envisioning the future of the mathematical sciences and mathematics teaching. Australian Senior Mathematics Journal. 26(2), pp. 4 - 5.

Mathematical modelling: Some issues and reflections

Stillman, Gloria and Galbraith, Peter. (2012). Mathematical modelling: Some issues and reflections. In In W Blum, R B Ferri and K Maass (Ed.). pp. 97 - 105 Springer.

Mathematical Modelling Challenge

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Mathematical Modelling Challenge

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Modelling tasks: insight into mathematical understanding

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Mathematical Modelling and Applications

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Evolution of applications and modelling in a senior secondary curriculum

Stillman, Gloria and Galbraith, P.. (2011). Evolution of applications and modelling in a senior secondary curriculum. In In G. Kaiser, W. Blum and R. Borromeo Ferri & G.Stillman (Ed.). pp. 689 - 699 Springer. https://doi.org/10.1007/978-94-007-0910-2_66

'Get down and get dirty in the mathematics': Technology and mathematical modelling in senior secondary

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Applying metacognitive knowledge and strategies in applications and modelling tasks at secondary school

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Editorial: To err is human

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Trends in Teaching and Learning of Mathematical Modelling (ICTMA 14)

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Editorial: Historical sources and historical development of statistical ideas

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Pre-service secondary mathematics teachers' affinity with using modelling tasks in teaching years 8-10

Stillman, Gloria and Brown, Jill P.. (2011). Pre-service secondary mathematics teachers' affinity with using modelling tasks in teaching years 8-10. In In G. Kaiser, W. Blum and R. Borromeo Ferri & G.Stillman (Ed.). pp. 289 - 298 Springer. https://doi.org/10.1007/978-94-007-0910-2_29

Turning ideas into modeling problems

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Identifying challenges within transition phases of mathematical modeling activities at Year 9

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The other side of the coin :attempts to embed authentic real world tasks in the secondary curriculum

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Implementing applications and modelling in secondary school: Issues for teaching and learning

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Preservice secondary teachers' competencies in proof

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Concept Maps: Implications for the Teaching of Function for Secondary School Students

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Competencies in argumentation and proof :A comparative study of future mathematics teachers from Australia, Germany and Hong Kong

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Future teachers' professional knowledge on argumentation and proof: A case study from universities in three countries

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The case of mathematical proof in lower secondary school :Knowledge and competencies of pre-service teachers

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Early notions of functions in a technology-rich teaching and learning environment (TRTLE)

Brown, Jill Patricia. (2007). Early notions of functions in a technology-rich teaching and learning environment (TRTLE). In J Watson and K Beswick (Ed.). 30th annual conference of the Mathematics Education Research Group of Australasia. Wrest Point Hotel Casino, Hobart, Tasmania, Australia 02 - 06 Jul 2007 Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 153 - 162

A framework for success in implementing mathematical modelling in the secondary classroom

Stillman, Gloria, Brown, Jill Patricia, Edwards, I. and Galbraith, Peter. (2007). A framework for success in implementing mathematical modelling in the secondary classroom. In J Watson and K Beswick (Ed.). 30th annual conference of the Mathematics Education Research Group of Australasia. Wrest Point Hotel Casino, Hobart, Tasmania, Australia 02 - 06 Jul 2007 Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 688 - 707

Challenges in formulating an extended modelling task at Year 9

Stillman, Gloria and Brown, Jill Patricia. (2007). Challenges in formulating an extended modelling task at Year 9. In H. Reeves, K. Milton and T. Spencer (Ed.). Mathematics: Essential for learning, essential for life Proceedings of the 21st Biennial Conference of the Australian Association of Mathematics Teachers Inc.. Adelaide, Australia: Australian Association of Mathematics Teachers. pp. 224 - 231

Identifying challenges within transition phases of mathematical modelling activity at Year 9

Stillman, Gloria, Brown, Jill and Galbraith, Peter. (2007). Identifying challenges within transition phases of mathematical modelling activity at Year 9. Conference Proceedings Of the Thirteenth International Conference on the Teaching of Mathematical Modelling and Applications. International Conference on the Teaching of Mathematical Modelling and Applications. pp. 1 - 10

Facilitating middle secondary modelling competencies

Galbraith, Peter, Stillman, Gloria, Brown, Jill Patricia and Edwards, I. (2007). Facilitating middle secondary modelling competencies. In In C. Haines, P. Galbraith and W. Blum et al. (Ed.). Mathematical modelling (ICTMA12): Education, engineering and economics pp. 130 - 140 Horwood Press.

Looking through zones at the teacher's role in technology-rich teaching and learning environments (TRTLE's)

Brown, Jill Patricia. (2006). Looking through zones at the teacher's role in technology-rich teaching and learning environments (TRTLE's). In C. Hoyles, J-b. Lagrange and L. H. Son (Ed.). Digital technologies and mathematics teaching and learning: Rethinking the terrain, Proceedings of the seventeenth ICMI Study: 'Technology revisited'. Hanoi, Vietnam: International Commission on Mathematical Instruction. pp. 56 - 65

Manifestations of affordances of a technology-rich teaching and learning environment (TRTLE)

Brown, Jill Patricia. (2006). Manifestations of affordances of a technology-rich teaching and learning environment (TRTLE). In J. Novotna, H. Moraova and M. Kratke (Ed.). Proceedings of the 30th annual conference of the International Group for the Psychology of Mathematics Education (PME),. Prague, Czech Republic: International Group for the Psychology of Mathemati.... pp. 241 - 248

Defining moments in the graphing calculator solution of a cubic function task

Brown, Jill and Stillman, Gloria. (2006). Defining moments in the graphing calculator solution of a cubic function task. Nordisk Matematikkdidaktikk (Nordic Studies in Mathematics). 11(3), pp. 57 - 84.

Identifying key transition activities for enhanced engagement in mathematical modelling

Galbraith, Peter, Stillman, Gloria Ann and Brown, Jill Patricia. (2006). Identifying key transition activities for enhanced engagement in mathematical modelling. In P.Grootenboer, R. Zevenbergen and M. Chinnappan (Ed.). Identities, cultures and learning spaces, Proceedings of the Twenty Ninth annual conference of the Mathematics Education Research Group of Australasia (MERGA). Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 237 - 245

Affordances of a technology-rich teaching and learning environment

Brown, Jill Patricia. (2005). Affordances of a technology-rich teaching and learning environment. In P. Clarkson, A. Downton and D. Gronn (Ed.). Building Connections, Theory, Research and Practice: Proceedings of the 28th Annual Conference of the Mathematics Education Research Group of Australasia. Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 177 - 184

Identification of affordances of a technology-rich teaching and learning environment (TRTLE)

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

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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?

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Defining moments in determining a complete graph in a graphing calculator teaching and learning environment

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