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.
AuthorsStillman, Gloria, Brown, Jill Patricia and Galbraith, Peter
Page range141 - 164
Year2008
Book titleResearch in Mathematics Education in Australasia 2004-2007
PublisherSense Publishers
Place of publicationRotterdam, The Netherlands
Research GroupSchool of Education
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A modelling challenge: students modelling problems of their choice
Galbraith, Peter L., Stillman, Gloria and Brown, Jill. (2018) A modelling challenge: students modelling problems of their choice. In In S. Schukajlow and W. Blum (Ed.). Evaluierte Lernumgebungen zum Modellieren [Evaluated Learning Environments for Modeling] pp. 193 - 214 https://doi.org/10.1007/978-3-658-20325-2
Using mathematics to solve real world problems: the role of enablers
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Verification and validation: what do we mean?
Czocher, Jennifer, Stillman, Gloria and Brown, Jill. (2018) Verification and validation: what do we mean? In J. Hunter, P. Perger and L. Darragh (Ed.). New Zealand: Mathematics Education Research Group of Australasia. pp. 250 - 257
Learning and improving MKT through teaching and professional development mechanisms
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Empirical research on teaching and learning of mathematical modelling:a survey on the current state-of-the-art
Schukajlow, S., Kaiser, Gabriele and Stillman, Gloria. (2018) Empirical research on teaching and learning of mathematical modelling:a survey on the current state-of-the-art. ZDM: The International Journal on Mathematics Education. 50(43132), pp. 5 - 18. https://doi.org/10.1007/s11858-018-0933-5
Context and understanding: the case of linear models
Brown, Jill. (2017) Context and understanding: the case of linear models. In In G. A. Stillman, W. Blum and G. Kaiser (Ed.). Mathematical Modelling and Applications: Crossing and Researching Boundaries in Mathematics Education pp. 211 - 221 Springer International Publishing. https://doi.org/10.1007/978-3-319-62968-1
Crossing boundaries in mathematical modelling and applications educational research and practice
Stillman, Gloria, Blum, Werner and Kaiser, Gabriele. (2017) Crossing boundaries in mathematical modelling and applications educational research and practice. In In G. A. Stillman, W. Blum and G. Kaiser (Ed.). Mathematical Modelling and Applications: Crossing and Researching Boundaries in Mathematics Education pp. 1 - 22 Springer International Publishing. https://doi.org/10.1007/978-3-319-62968-1
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Stillman, Gloria. (2017) Enabling anticipation through visualisation in mathematising real-world problems in a flipped classroom. In In G. A. Stilman, W. Blum and G. Kasier (Ed.). Mathematical Modelling and Applications: Crossing and Researching Boundaries in Mathematics Education pp. 163 - 173 Springer International Publishing. https://doi.org/10.1007/978-3-319-62968-1
Developing the roots of modelling conceptions: 'mathematical modelling is the life of the world'
Brown, Jill and Stillman, Gloria. (2017) Developing the roots of modelling conceptions: 'mathematical modelling is the life of the world'. International Journal of Mathematical Education in Science and Technology. 48(3), pp. 353 - 373. https://doi.org/10.1080/0020739X.2016.1245875
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The primacy of 'noticing': a key to successful modelling
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Research into mathematical applications and modelling
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Visualisation tactics for solving real world tasks
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Fostering mathematical modelling in secondary schools
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Facilitating mathematisation in modelling by beginning modellers in secondary school
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Mathematical modelling in education, research and practice: Cultural, social, and cognitive influences
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Cultural, social, cognitive and research influences on mathematical modelling education
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Applications and modelling research in secondary classrooms : What have we learnt?
Stillman, Gloria. (2015) Applications and modelling research in secondary classrooms : What have we learnt? In In S. J. Cho (Ed.). Selected regular lectures from the 12th International Congress on Mathematical Education pp. 791 - 805 Springer. https://doi.org/10.1007/978-3-319-17187-6_44
Exploring interconnections between real-world and application tasks: Case study from Singapore
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Complexities of digital technology use and the teaching and learning of function
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Mathematical applications and modelling in the teaching and learning of mathematics
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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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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
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Empirical evidence for Niss' implemented anticipation in mathematising realistic situations
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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
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Mathematical modelling: Some issues and reflections
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Mathematical Modelling Challenge
Brown, Jill and Stillman, Gloria. (2011) Mathematical Modelling Challenge. Vinculum. 26(4), pp. 16 - 19.
Mathematical Modelling Challenge
Brown, Jill and Stillman, Gloria. (2011) Mathematical Modelling Challenge. Prime Number. 26(4), pp. 15 - 16.
Modelling tasks: insight into mathematical understanding
Brown, Jill P. and Edwards, Ian. (2011) Modelling tasks: insight into mathematical understanding. In In G. Kaiser, W. Blum and R. Borromeo Ferri & G.Stillman (Ed.). pp. 187 - 197 Springer. https://doi.org/10.1007/978-94-007-0910-2_20
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
Stillman, Gloria and Brown, Jill. (2011) 'Get down and get dirty in the mathematics': Technology and mathematical modelling in senior secondary. In J. Clark, B. Kissane and J. Mousley (Ed.). Mathematics: Traditions and [new] practices: Proceedings of the 2011 AAMT-MERGA conference. Australia: AAMT and MERGA. pp. 711 - 718
Applying metacognitive knowledge and strategies in applications and modelling tasks at secondary school
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Editorial: To err is human
Brown, Jill and Stillman, Gloria. (2011) Editorial: To err is human. Australian Senior Mathematics Journal. 25(2), pp. 4 - 5.
Trends in Teaching and Learning of Mathematical Modelling (ICTMA 14)
Stillman, Gloria, Ferri, Rita Borromeo, Blum, Werner and Kaiser, Gabriele. (2011) Trends in Teaching and Learning of Mathematical Modelling (ICTMA 14) Springer.
Editorial: Historical sources and historical development of statistical ideas
Brown, Jill and Stillman, Gloria. (2011) Editorial: Historical sources and historical development of statistical ideas. Australian Senior Mathematics Journal. 25(1), pp. 4 - 6.
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
Galbraith, Peter L., Stillman, Gloria and Brown, Jill P.. (2010) Turning ideas into modeling problems. In pp. 133 - 144 Springer. https://doi.org/10.1007/978-1-4419-0561-1_11
Identifying challenges within transition phases of mathematical modeling activities at Year 9
Stillman, Gloria, Brown, Jill and Galbraith, Peter. (2010) Identifying challenges within transition phases of mathematical modeling activities at Year 9. In In R. Lesh, P. L. Galbraith and C. R. Haines & A. Hurford (Ed.). Modeling students' mathematical modeling competencies: ICTMA13 pp. 385 - 398 Springer.
The other side of the coin :attempts to embed authentic real world tasks in the secondary curriculum
Stillman, Gloria and Ng, Dawn. (2010) The other side of the coin :attempts to embed authentic real world tasks in the secondary curriculum. In A. Araujo, Fernandes and A. Azevedo (Ed.). Proceedings of the EIMI 2010 Conference: Educational interfaces between mathematics and industry. Portugal: Centro Internacional de Matematica. pp. 491 - 500
Implementing applications and modelling in secondary school: Issues for teaching and learning
Stillman, Gloria. (2010) Implementing applications and modelling in secondary school: Issues for teaching and learning. In pp. 300 - 322 World Scientific Publishing.
Preservice secondary teachers' competencies in proof
Brown, Jill Patricia and Stillman, Gloria. (2009) Preservice secondary teachers' competencies in proof. In Fuo-Lai Lin, Feng-Jui Hsieh and Gila Hanna (Ed.). Proof and Proving in Mathematics Education: ICMI Study 19 Conference Proceedings. Taipei, Taiwan: National Taiwan Normal University. pp. 94 - 99
Concept Maps: Implications for the Teaching of Function for Secondary School Students
Brown, Jill Patricia. (2009) Concept Maps: Implications for the Teaching of Function for Secondary School Students. In R. Hunter, B. Bicknell and T. Burgess (Ed.). Crossing Divides: Proceedings of the 32nd Annual Conference of the Mathematics Education Research Group of Australasia (MERGA). Palmerston North, NZ: Mathematics Education Research Group of Australasia. pp. 65 - 72
Competencies in argumentation and proof :A comparative study of future mathematics teachers from Australia, Germany and Hong Kong
Schwarz, Bjorn, Vale, Colleen, Brown, Jill Patricia, Stillman, Gloria, Kaiser, Gabriele, Buchholtz, Nils and Leung, Issic. (2008) Competencies in argumentation and proof :A comparative study of future mathematics teachers from Australia, Germany and Hong Kong. In Gabriele Kaiser (Ed.). Discussion Group 14: International Comparisons in Mathematics Education. Monterrey, Mexico: International Commission on Mathematical Instruction. pp. 1 - 6
Future teachers' professional knowledge on argumentation and proof: A case study from universities in three countries
Schwarz, Bjorn, Leung, Issic K. C., Bucholtz, Nils, Kaiser, Gabriele, Stillman, Gloria, Brown, Jill Patricia and Vale, Colleen. (2008) Future teachers' professional knowledge on argumentation and proof: A case study from universities in three countries. ZDM. 40(5), pp. 791 - 811. https://doi.org/10.1007/s11858-008-0150-8
The case of mathematical proof in lower secondary school :Knowledge and competencies of pre-service teachers
Brown, Jill Patricia, Stillman, Gloria, Schwarz, Bjorn and Kaiser, Gabriele. (2008) The case of mathematical proof in lower secondary school :Knowledge and competencies of pre-service teachers. In Merrilyn Goos, Ray Brown and Katie Makar (Ed.). Proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia. Brisbane, Australia: Mathematics Education Research Group of Australasia. pp. 85 - 91
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.). Mathematics: Essential Research, Essential Practice. Proceedings of the 30th Annual conference of the Mathematics Education Research Group of Australasia.. 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.). Mathematics: Essential Research, Essential Practice. Proceedings of the 30th Annual conference of the Mathematics Education Research Group of Australasia.. Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 688 - 707
Challenges in formulating an extended modelling task at Year 9
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Identifying challenges within transition phases of mathematical modelling activity at Year 9
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Facilitating middle secondary modelling competencies
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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)
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Identifying key transition activities for enhanced engagement in mathematical modelling
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Identification of affordances of a technology-rich teaching and learning environment (TRTLE)
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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
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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