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

Book chapter

Stillman, Gloria, Brown, Jill P., Faragher, Rhonda Muriel, Geiger, Vince and Galbraith, Peter. (2013). The role of textbooks in developing a socio-critical perspective on mathematical modelling in secondary classrooms. In In GA Stillman, G Kaiser and W Blum & JP Brown (Ed.).

*Teaching mathematical modelling: connecting to research and practice*pp. 361 - 373 Springer. https://doi.org/10.1007/978-94-007-6540-5_30

Authors | Stillman, Gloria, Brown, Jill P., Faragher, Rhonda Muriel, Geiger, Vince and Galbraith, Peter |
---|---|

Editors | GA Stillman, G Kaiser and W Blum & JP Brown |

Page range | 361 - 373 |

Year | 2013 |

Book title | Teaching mathematical modelling: connecting to research and practice |

Publisher | Springer |

Place of publication | Dordrecht |

ISBN | 9789400765405 |

Digital Object Identifier (DOI) | https://doi.org/10.1007/978-94-007-6540-5_30 |

Research Group | Institute for Learning Sciences and Teacher Education (ILSTE) |

Publisher's version | File Access Level Controlled |

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https://acuresearchbank.acu.edu.au/item/87w2v/the-role-of-textbooks-in-developing-a-socio-critical-perspective-on-mathematical-modelling-in-secondary-classrooms

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Geiger, Vince. (2013). Strasser's Didactic Tetrahedron as a basis for theorising mathematical modelling activity within social contexts. In In GA Stillman, G Kaiser and W Blum & JP Brown (Ed.).*Teaching mathematical modelling: connecting to research and practice*pp. 107 - 116 Springer. https://doi.org/10.1007/978-94-007-6540-5_9

##### Challenges in modelling challenges: Intents and purposes

Stillman, Gloria, Brown, Jill P. and Galbraith, Peter. (2013). Challenges in modelling challenges: Intents and purposes. In In GA Stillman, G Kaiser and W Blum & JP Brown (Ed.).*Teaching mathematical modelling: connecting to research and practice*pp. 217 - 227 Springer. https://doi.org/10.1007/978-94-007-6540-5_19

##### Mathematical applications, modelling and technology as windows into industry based mathematical practice

Geiger, Vince. (2013). Mathematical applications, modelling and technology as windows into industry based mathematical practice. In In A. Damlamian, J. F. Rodrigues and R. Straser (Ed.).*Educational Interfaces between Mathematics and Industry*pp. 271 - 278 Springer. https://doi.org/10.1007/978-3-319-02270-3_27

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

Brown, Jill P.. (2013). Inducting year 6 students into a culture of mathematising as a practice. In In G. A. Stillman, G. Kaiser and W. Blum & J. P. Brown (Ed.).*Teaching mathematical modelling: connecting to research and practice*pp. 295 - 306 Springer. https://doi.org/10.1007/978-94-007-6540-5_24

##### Teacher professional development on mathematical modelling: initial perspectives from Singapore

Geiger, Vince. (2013). Teacher professional development on mathematical modelling: initial perspectives from Singapore. In In GA Stillman, G Kaiser and W Blum & JP Brown (Ed.).*Teaching mathematical modelling: connecting to research and practice*pp. 437 - 442 Springer. https://doi.org/10.1007/978-94-007-6540-5_37

##### Taking advantage of incidental school events to engage with the application of mathematics: The case of surviving the reconstruction

Geiger, Vince, Goos, Merrilyn and Dole, Shelley. (2013). Taking advantage of incidental school events to engage with the application of mathematics: The case of surviving the reconstruction. In In GA Stillman, G Kaiser and W Blum & JP Brown (Ed.).*Teaching mathematical modelling: connecting to research and practice*pp. 175 - 184 Springer. https://doi.org/10.1007/978-94-007-6540-5_15

##### Implementation of IBL in Europe from an Australasian perspective

Stillman, Gloria Ann. (2013). Implementation of IBL in Europe from an Australasian perspective.*ZDM Mathematics Education.*45(6), pp. 911 - 918. https://doi.org/10.1007/s11858-013-0545-z

##### Designing rich numeracy tasks

Goos, Merrilyn, Geiger, Vince and Dole, Shelley. (2013). Designing rich numeracy tasks.*ICMI Study 22: Task Design in Mathematics.*United Kingdom: International Commission on Mathematical Instruction. pp. 589 - 597

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

Brown, Jill. (2013). Teaching roles in technology-rich teaching and learning environments (TRTLE's). In V. Steinle, L. Ball and C. Bardini (Ed.).*Mathematics Education: Yesterday, Today and Tomorrow (MERGA36).*Australia: Mathematics Education Research Group of Australasia. pp. 106 - 113

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

Clarke, Doug, Roche, Anne, Wilkie, Karina, Wright, Vince, Brown, Jill, Downton, Ann, Horne, Marjorie, Knight, Rose, McDonough, Andrea, Sexton, Matthew and Worrall, Chris. (2013). Demonstration lessons in mathematics education: Teachers' observation foci and intended changes in practice.*Mathematics Education Research Journal.*25(2), pp. 207 - 230. https://doi.org/10.1007/s13394-012-0058-z

##### Auditing the numeracy demands of the Australian curriculum

Goos, Merrilyn, Dole, Shelley and Geiger, Vince. (2012). Auditing the numeracy demands of the Australian curriculum. In J. Dindyal, L. P. Cheng and S. F. Ng (Ed.).*Mathematics education: Expanding horizons. Proceedings of the 35th annual conference of the Mathematics Education Research Group of Australasia.*Australia: Mathematics Education Research Group of Australasia. pp. 314 - 321

##### Connecting social perspectives on mathematics teacher education in online environments

Goos, Merrilyn and Geiger, Vince. (2012). Connecting social perspectives on mathematics teacher education in online environments.*ZDM Mathematics Education.*44(6), pp. 705 - 715. https://doi.org/10.1007/s11858-012-0441-y

##### Male students' perspectives concerning the relevance of mathematics: Pilot study findings

Easey, Michael, Warren, Elizabeth A. and Geiger, Vince. (2012). Male students' perspectives concerning the relevance of mathematics: Pilot study findings. In J. Dindyal, L. P. Cheng and S. F. Ng (Ed.).*Mathematics education: Expanding horizons. Proceedings of the 35th annual conference of the Mathematics Education Research Group of Australasia.*Australia: Mathematics Education Research Group of Australasia. pp. 242 - 249

##### Numeracy for what's in the news and building an expressway

Willis, Kym, Geiger, Vince, Goos, Merrilyn and Dole, Shelley. (2012). Numeracy for what's in the news and building an expressway.*Australian Mathematics Teacher.*68(1), pp. 9 - 15.

##### Teaching experiments and professional learning

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##### A sense of measurement and geometry

Faragher, Rhonda Muriel and Brady, K.. (2011). A sense of measurement and geometry. In In E. Cochrane (Ed.). pp. 210 - 230 Oxford University Press.##### Mathematical Modelling and Applications

Stillman, Gloria and Brown, Jill. (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.##### Thinking mathematically

Faragher, Rhonda. (2011). Thinking mathematically. In In D. Siemon, K. Beswick and K. Brady, J. Clark, R. Faragher & E. Warren (Ed.).*Teaching mathematics: Foundations to middle years*pp. 68 - 82 Oxford University Press.

##### Working with multiplication, division, and proportional reasoning

Faragher, Rhonda Muriel and Siemon, Dianne. (2011). Working with multiplication, division, and proportional reasoning. In In E. Cochrane (Ed.). pp. 548 - 585 Oxford University Press.##### 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.##### Developing numeracy to enhance quality of life

Faragher, Rhonda Muriel. (2010). Developing numeracy to enhance quality of life. In In Ralph Kober (Ed.). pp. 401 - 411 Springer. https://doi.org/10.1007/978-90-481-9650-0_21##### 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

##### Sustaining improvement in numeracy: Developing pedagogical content knowledge and leadership capabilities in tandem

Gaffney, Mike and Faragher, Rhonda. (2010). Sustaining improvement in numeracy: Developing pedagogical content knowledge and leadership capabilities in tandem.*Mathematics Teacher Education and Development.*12(Special Issue), pp. 72 - 83.

##### 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

##### Critical numeracy and abstraction: percentages

White, Paul, Mitchelmore, Michael, Faragher, Rhonda Muriel and Wilson, Sue. (2009). Critical numeracy and abstraction: percentages.*Australian Primary Mathematics Classroom.*14(1), pp. 4 - 8.

##### 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

##### Narrowing the gap :Empowering teachers and parents through understanding how children with Down syndrome develop mathematically

Brady, Josephine, Clarke, Douglas McLean, Gervasoni, Ann Maree, Clarke, Barbara and Faragher, Rhonda Muriel. (2008). Narrowing the gap :Empowering teachers and parents through understanding how children with Down syndrome develop mathematically. In Lorraine Graham (Ed.).*Proceedings of the 'Narrowing the Gap: Addressing Educational Disadvantage' Conference.*Armidale, Australia: SiMMER, University of New England. pp. 56 - 62

##### 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

##### Teaching percentages: Professional learning in three regional Catholic schools

White, Paul, Mitchelmore, Michael, Wilson, Sue and Faragher, Rhonda. (2008). Teaching percentages: Professional learning in three regional Catholic schools.*Journal of Catholic School Studies.*80(2), pp. 55 - 62.

##### 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.

##### Children with down syndrome learning mathematics: Can they do it? Yes they can!

Faragher, Rhonda, Brady, Jo, Clarke, Barbara, Gervasoni, Ann and Clarke, Doug. (2008). Children with down syndrome learning mathematics: Can they do it? Yes they can!*Australian Primary Mathematics Classroom.*13(4), pp. 10 - 15.

##### 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

##### Percentages as Part Whole Relationships

White, Paul, Wilson, Sue, Faragher, Rhonda and Mitchelmore, M.. (2007). Percentages as Part Whole Relationships. 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..*Hobart, Australia: Mathematics Education Research Group of Australasia. pp. 805 - 814

##### 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

##### What makes a good teacher? They have respect for our culture

Lake, David, Faragher, Rhonda Muriel, Lenoy, Max, Sellwood, Juanita, Archer, Louise and Anderson, Neil. (2006). What makes a good teacher? They have respect for our culture. In In T. Lyons and Terry (Ed.).*Science, ICT and Mathematics Education in Rural and Regional Australia: State and Territory Case Studies*pp. 123 - 147 University of New England.

##### 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

##### Numeracy for adults with down syndrome: It's a matter of quality of life

Faragher, Rhonda and Brown, Roy. (2005). Numeracy for adults with down syndrome: It's a matter of quality of life.*Journal of Intellectual Disability Research.*49(10), pp. 761 - 765. https://doi.org/10.1111/j.1365-2788.2005.00747.x

##### Exceptional students in mathematics

Diezmann, Carmel, Faragher, Rhonda Muriel, Lowrie, Tom and Putt, Brenda BicknellIan. (2004). Exceptional students in mathematics. In In bB. Perry, G. Anthony and C. Diezmann (Ed.).*Research in Mathematics Education in Australasia; 2000-2003*pp. 175 - 196 Post Pressed.

##### 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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