Using mathematics to solve real world problems: the role of enablers

Journal article


Geiger, Vince, Stillman, Gloria, Brown, Jill P., Galbraith, Peter and Niss, Mogens. (2018) Using mathematics to solve real world problems: the role of enablers. Mathematics Education Research Journal. 30(1), pp. 7 - 19. https://doi.org/10.1007/s13394-017-0217-3
AuthorsGeiger, Vince, Stillman, Gloria, Brown, Jill P., Galbraith, Peter and Niss, Mogens
Abstract

The purpose of this article is to report on a newly funded research project in which we will investigate how secondary students apply mathematical modelling to effectively address real world situations. Through this study, we will identify factors, mathematical, cognitive, social and environmental that Benable^ year 10/11 students to successfully begin themodelling process, that is, formulate and mathematise a real world problem. The 3-year study will take a design research approach in working intensively with six schools across two educational jurisdictions. It is anticipated that this research will generate new theoretical and practical insights into the role of Benablers^ within the process of mathematisation, leading to the development of principles for the design and implementation for tasks that support students’ development as modellers.

Year2018
JournalMathematics Education Research Journal
Journal citation30 (1), pp. 7 - 19
PublisherSpringer
ISSN1033-2170
Digital Object Identifier (DOI)https://doi.org/10.1007/s13394-017-0217-3
Scopus EID2-s2.0-85041699750
Page range7 - 19
Research GroupInstitute for Learning Sciences and Teacher Education (ILSTE)
Place of publicationNetherlands
EditorsG. Anthony, J. Dindyal and V. Geiger
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https://acuresearchbank.acu.edu.au/item/87xz4/using-mathematics-to-solve-real-world-problems-the-role-of-enablers

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Lamb, Janeen Therese and Geiger, Vince. (2012) Teaching experiments and professional learning. In In N. M. Seel (Ed.). Encyclopedia of the sciences of learning pp. 3276 - 3277 Springer. https://doi.org/10.1007/978-1-4419-1428-6_1017
Numeracy across the curriculum
Goos, Merrilyn, Dole, Shelley and Geiger, Vince. (2012) Numeracy across the curriculum. Australian Mathematics Teacher. 68(1), pp. 3 - 7.
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.
Numeracy in society and environment
Cooper, Cath, Dole, Shelley, Geiger, Vince and Goos, Merrilyn. (2012) Numeracy in society and environment. Australian Mathematics Teacher. 68(1), pp. 16 - 20.
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.
Technology in mathematics education
Geiger, Vince, Forgasz, Helen, Tan, Hazel and Calder, Nigel. (2012) Technology in mathematics education. In In B Perry, T Lowrie and T Logan, A MacDonald & J Greenlees (Ed.). pp. 111 - 141 Sense Publishers.
Numeracy in secondary school mathematics
Gibbs, Melissa, Goos, Merrilyn, Geiger, Vince and Dole, Shelley. (2012) Numeracy in secondary school mathematics. Australian Mathematics Teacher. 68(1), pp. 29 - 35.
Numeracy in health and physical education
Peters, Colleen, Geiger, Vince, Goos, Merrilyn and Dole, Shelley. (2012) Numeracy in health and physical education. Australian Mathematics Teacher. 68(1), pp. 21 - 27.
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
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.
Teachers' personal conceptions of numeracy
Goos, Merrilyn, Geiger, Vince and Dole, Shelley. (2011) Teachers' personal conceptions of numeracy. In B. Ubuz (Ed.). Proceedings of the 35th conference of the International Group for the Psychology of Mathematics Education: developing mathematical thinking. Turkey: International Group for the Psychology of Mathemati.... pp. 457 - 464
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
Brown, Jill and Stillman, Gloria. (2011) Mathematical Modelling and Applications. Vinculum. 48(2), pp. 20 - 20.
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
Stillman, Gloria. (2011) Applying metacognitive knowledge and strategies in applications and modelling tasks at secondary school. In In G. Kaiser, W. Blum and R. Borromeo Ferri & G.Stillman (Ed.). pp. 165 - 180 Springer.
The role of digital technologies in numeracy
Geiger, Vince, Dole, Shelley and Goos, Merrilyn. (2011) The role of digital technologies in numeracy. In B. Ubuz (Ed.). Proceedings of the 35th conference of the International Group for the Psychology of Mathematics Education: developing mathematical thinking. Turkey: International Group for the Psychology of Mathematics Education. pp. 385 - 392
Improving numeracy education in rural schools: A professional development approach
Goos, Merrilyn, Dole, Shelley and Geiger, Vince. (2011) Improving numeracy education in rural schools: A professional development approach. Mathematics Education Research Journal. 23(2), pp. 129 - 148. https://doi.org/10.1007/s13394-011-0008-1
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.
Factors affecting teachers' adoption of innovative practices with technology and mathematical modelling
Geiger, Vince. (2011) Factors affecting teachers' adoption of innovative practices with technology and mathematical modelling. In In G. Kaiser, W. Blum and R. Borromeo Ferri & G.Stillman (Ed.). pp. 305 - 314 Springer.
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.
Teacher professional learning in numeracy: Trajectories through a model for numeracy in the 21st century
Geiger, Vince, Goos, Merrilyn and Dole, Shelley. (2011) Teacher professional learning in numeracy: Trajectories through a model for numeracy in the 21st century. 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. 297 - 305
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
Theoretical perspectives on mathematics teacher change
Goos, Merrilyn and Geiger, Vince. (2010) Theoretical perspectives on mathematics teacher change. Journal of Mathematics Teacher Education. 13(6), pp. 499 - 507. https://doi.org/10.1007/s10857-010-9166-4
Technology, communication, and collaboration: Re-thinking communities of inquiry, learning and practice
Beatty, Ruth and Geiger, Vince. (2010) Technology, communication, and collaboration: Re-thinking communities of inquiry, learning and practice. In In C. Hoyles and J. Lagrange (Ed.). Mathematics Education and Technology-Rethinking the Terrain pp. 251 - 284 Springer. https://doi.org/10.1007/978-1-4419-0146-0_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.
A teacher pair approach to adopting effective numeracy teaching practice
Lamb, Geiger, Vince and PhD, Janeen Therese Lamb. (2010) A teacher pair approach to adopting effective numeracy teaching practice. In L. Sparrow, B. Kissane and C. Hurst (Ed.). Shaping the future of mathematics education: proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. Australia: Mathematics Education Research Group of Australasia. pp. 312 - 319
Auditing the numeracy demands of the middle years curriculum
Goos, Merrilyn, Geiger, Vince and Dole, Shelley. (2010) Auditing the numeracy demands of the middle years curriculum. In L. Sparrow, B. Kissane and C. Hurst (Ed.). Shaping the future of mathematics education: proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. Australia: Mathematics Education Research Group of Australasia. pp. 210 - 217
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.
Cas-enabled technologies as 'agents provocateurs' in teaching and learning mathematical modelling in secondary school classrooms
Geiger, Vince, Faragher, Rhonda Muriel and Goos, Merrilyn. (2010) Cas-enabled technologies as 'agents provocateurs' in teaching and learning mathematical modelling in secondary school classrooms. Mathematics Education Research Journal. 22(2), pp. 48 - 68. https://doi.org/10.1007/BF03217565
A social perspective on technology-enhanced mathematical learning: From collaboration to performance
Gadanidis, George and Geiger, Vince. (2010) A social perspective on technology-enhanced mathematical learning: From collaboration to performance. ZDM. 42(1), pp. 91 - 104. https://doi.org/10.1007/s11858-009-0213-5
An Approach to Student-Lecturer Collaboration in the Design of Assessment Criteria and Standards Schemes
Mulholland, Judith Anne, Geiger, Vince, Lamb, Janeen Therese and Jacobs, Rachael Frances. (2009) An Approach to Student-Lecturer Collaboration in the Design of Assessment Criteria and Standards Schemes. In J. Milton, K. Hall and J. Lang (Ed.). Proceedings of the ATN Assessment Conference 2009: Assessment in Different Dimensions. Melbourne, Australia: Learning and Teaching Unit, RMIT University. pp. 137 - 145
The Master, Servant, Partner, Extension-of-self Framework in Individual, Small Group and Whole Class Contexts
Geiger, Vince. (2009) The Master, Servant, Partner, Extension-of-self Framework in Individual, Small Group and Whole Class Contexts. In R. Hunter, B. Bricknell and T. Burgess (Ed.). Crossing Divides: Proceedings of the 32nd Annual Conference of the Mathematics Education Research Group of Australasia (MERGA). Wellington, New Zealand: Mathematics Education Research Group of Australasia. pp. 201 - 208
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
CAS enabled devices as provocative agents in the process of mathematical modelling
Faragher, Rhonda Muriel, Redmond, Trevor, Lowe, Jim and Geiger, Vince. (2008) CAS enabled devices as provocative agents in the process of mathematical modelling. In M. Goos, R. Brown and K. Maker (Ed.). Navigating Currents and Charting Directions: Proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia. Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 246 - 253
The emergence of social perspectives on the use of technology in Mathematics education
Geiger, Vince. (2008) The emergence of social perspectives on the use of technology in Mathematics education. In Marcelo C. Borba and Mariolina Bartolini Bussi (Ed.). Symposium on the Occasion of the 100th Anniversary of ICMI: Resources and Technology Throughout the History of ICMI. Rome, Italy: International Congress on Mathematical Education. pp. 1 - 3
Research into the teaching and learning of applications and modelling in Australasia
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.
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
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
More Than Tools: Mathematically Enabled Technologies As Partner and Collaborator
Geiger, Vince. (2006) More Than Tools: Mathematically Enabled Technologies As Partner and Collaborator. In P.C. Hoyles, J. Lagrange and L. Son (Ed.). Technology Revisited: Digital Technologies; Rethinking the Terrain: Proceedings of the 17th ICMI Study Conference. London, England: International Commission on Mathematical Instruction. pp. 182 - 189
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
In search of practical wisdom: A conversation between a researcher and a teacher
Goos, Merrilyn and Geiger, Vince. (2006) In search of practical wisdom: A conversation between a researcher and a teacher. For the Learning of Mathematics: an international journal of mathematics education. 26(2), pp. 33 - 35.
Standing on the Outside: A Tale of How Technology Can Engage Those Working on the Margins of a Community of Inquiry
Geiger, Vince. (2006) Standing on the Outside: A Tale of How Technology Can Engage Those Working on the Margins of a Community of Inquiry. In P. Grootenboer, R. Zevenbergen and M. Chinnappan (Ed.). Identities; Cultures and Learning Spaces: Proceedings of the 29th Annual Conference of the Mathematics Education Research Group of Australasia. Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 246 - 253
Living in the Gap: A Tale of Two Different Types of Researchers
Geiger, Vince and Goos, Merrilyn. (2006) Living in the Gap: A Tale of Two Different Types of Researchers. In P. Grootenboer, R. Zevenbergen and M. Chinnappan (Ed.). Identities; Cultures and Learning Spaces: Proceedings of the 29th Annual Conference of the Mathematics Education Research Group of Australasia. Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 254 - 261
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
Master, servant, partner and extension of self: A finer grained view of this taxonomy
Geiger, Vince. (2005) Master, servant, partner and extension of self: A finer grained view of this taxonomy. 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. Sydney, Australia: Mathematics Education Research Group of Australasia. pp. 369 - 376
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
Choosing and using technology for secondary mathematical modelling tasks: Choosing the right peg for the right hole
Geiger, Vince, Galbraith, Peter, Renshaw, Peter and Goos, Merrilyn. (2003) Choosing and using technology for secondary mathematical modelling tasks: Choosing the right peg for the right hole. In Mathematical Modelling in Education and Culture Chichester Horwood.
Technology-enriched classrooms: Some implications for teaching applications and modelling
Galbraith, Peter, Renshaw, Peter, Goos, Merrilyn and Geiger, Vince. (2003) Technology-enriched classrooms: Some implications for teaching applications and modelling. In Mathematical Modelling in Education and Culture Chichester Horwood.
Perspectives on technology mediated learning in secondary school mathematics classrooms
Goos, Merrilyn, Galbraith, Peter, Renshaw, Peter and Geiger, Vince. (2003) Perspectives on technology mediated learning in secondary school mathematics classrooms. The Journal of Mathematical Behavior. 22(1), pp. 73 - 89. https://doi.org/10.1016/S0732-3123(03)00005-1
What Students Say: Analysis of Structured Survey Data in Relation to Technology and Mathematics
Geiger, Vince. (2003) What Students Say: Analysis of Structured Survey Data in Relation to Technology and Mathematics. In L. Bragg, C. Campbell and G. Herbert (Ed.). MERINO - Mathematics Education Research: Innovation, Networking, Opportunity: Proceedings of the 26th Annual Conference of the Mathematics Education Research Group of Australasia. Melbourne, Australia: Mathematics Education Research Group of Australasia. pp. 380 - 387
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