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

Journal article

Stillman, Gloria Ann. (2014). Views of cognition: Different lenses for 'looking-in' on classrooms. ZDM: The International Journal on Mathematics Education. 46(3), pp. 493 - 496. https://doi.org/10.1007/s11858-014-0601-3
AuthorsStillman, Gloria Ann
Abstract

The evolution of different theories of cognition over the years has given mathematics education researchers new tools for highlighting particular characteristics of classroom issues to enable more detailed investigation of how students learn mathematics. In the past there has been a strong dominance of the dualistic view separating body and mind. In recent times, however, the body has been given a more central role in shaping the mind. This has led to the situation where some long-standing conundrums of mathematics education have become more tractable to researchers. Similarly, by using older ideas in new ways, light is being shone on what is possible at different stages of development or different levels of schooling. In this issue different views of cognition have been mined by the authors of different articles to frame studies and analyses or invent and apply new tools. They bring new lenses for looking-in on classrooms, a fresh view with old lenses and new methodological tools to the fore. Using a small selection of the articles of the issue the empowerment that differing views of cognition have enabled for mathematics education research is demonstrated.

KeywordsCognition; sensuous cognition; schema; collective coherence; adjacency matrix
Year2014
JournalZDM: The International Journal on Mathematics Education
Journal citation46 (3), pp. 493 - 496
ISSN1863-9690
Digital Object Identifier (DOI)https://doi.org/10.1007/s11858-014-0601-3
Open accessOpen access
Page range493 - 496
Research GroupSchool of Education
Publisher's version
Permalink -

https://acuresearchbank.acu.edu.au/item/87138/views-of-cognition-different-lenses-for-looking-in-on-classrooms

Log in to edit

Download files

Publisher's version
Stillman_2014_Views_of_cognition.pdf

  • 127
    total views
  • 140
    total downloads
  • 5
    views this month
  • 2
    downloads this month
These values are for the period from 19th October 2020, when this repository was created.

Export as

Related outputs

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
Advancing Mathematical Modelling and Applications Educational Research and Practice
Greefrath, Gilbert, Carreira, Susana and Stillman, Gloria Ann. (2023). Advancing Mathematical Modelling and Applications Educational Research and Practice. In In Greefrath, Gilbert, Carreira, Susana and Stillman, Gloria Ann (Ed.). Advancing and Consolidating Mathematical Modelling : Research from ICME-14 pp. 3 Springer Science and Business Media B.V.. https://doi.org/10.1007/978-3-031-27115-1_1
Teachers' perception  of and reflection on students' metacognitive knowledge in mathematical modelling processes
Wendt, Lisa, Krüger, Alexandra and Stillman, Gloria Ann. (2022). Teachers' perception  of and reflection on students' metacognitive knowledge in mathematical modelling processes. In In Buchholtz, Nils, Schwarz, Björn and Vorhölter, Katrin (Ed.). Initiationen mathematikdidaktischer forschung : Festschrift zum 70. Geburtstag von Gabriele Kaiser pp. 137-154 Springer Spektrum. https://doi.org/10.1007/978-3-658-36766-4_7
Modeling the phenomenon versus modeling the data set
Stillman, Gloria Ann and Brown, Jill. (2021). Modeling the phenomenon versus modeling the data set. Mathematical Thinking and Learning. 25(3), pp. 270-295. https://doi.org/10.1080/10986065.2021.2013144
Modeling from a cognitive perspective : Theoretical considerations and empirical contributions
Schukajlow, Stanislaw, Kaiser, Gabriele Agnes Hildegard and Stillman, Gloria Ann. (2021). Modeling from a cognitive perspective : Theoretical considerations and empirical contributions. Mathematical Thinking and Learning. 25(3), pp. 259-269. https://doi.org/10.1080/10986065.2021.2012631
Mathematical modelling education in the cultural contexts of west and east
Leung, Frederick Koon Shing, Stillman, Gloria, Kaiser, Gabriele and Wong, Ka Lok. (2021). Mathematical modelling education in the cultural contexts of west and east. In In Leung, Frederick Koon Shing, Stillman, Gloria, Kaiser, Gabriele and Wong, Ka Lok (Ed.). Mathematical modelling education in east and west  pp. 3-16 Springer. https://doi.org/10.1007/978-3-030-66996-6_1
Sense-making in mathematical modelling and applications educational research and practice
Stillman, Gloria Ann, Kaiser, Gabriele and Lampen, Christine Erna. (2020). Sense-making in mathematical modelling and applications educational research and practice. In In Stillman, Gloria Ann, Kaiser, Gabriele and Lampen, Christine Erna (Ed.). Mathematical modelling education and sense-making pp. 15-29 Springer Nature. https://doi.org/10.1007/978-3-030-37673-4_2
Yes, mathematicians do X so students should do X, but it’s not the X you think!
Stillman, Gloria, Brown, Jill and Czocher, Jennifer. (2020). Yes, mathematicians do X so students should do X, but it’s not the X you think! ZDM. 52(6), pp. 1211-1222. https://doi.org/10.1007/s11858-020-01183-5
State of the art on modelling in mathematics education--lines of inquiry
Stillman, Gloria Ann. (2019). State of the art on modelling in mathematics education--lines of inquiry. In In Stillman, Gloria Ann and Brown, Jill P. (Ed.). Lines of inquiry in mathematical modelling research in education pp. 1-20 SpringerOpen. https://doi.org/10.1007/978-3-030-14931-4_1
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
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
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
Stillman, Gloria Ann. (2018). Learning and improving MKT through teaching and professional development mechanisms. In In Y. Li and R. Huang (Ed.). How Chinese acquire and improve mathematics knowledge for teaching pp. 263 - 274 Brill. https://doi.org/10.1163/9789463512367
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
Teaching secondary school mathematics : Research and practice for the 21st century
Goos, Merrilyn, Vale, Colleen, Stillman, Gloria, Makar, Katie, Herbert, Sandra and Geiger, Vincent. (2017). Teaching secondary school mathematics : Research and practice for the 21st century Allen & Unwin.
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
Enabling anticipation through visualisation in mathematising real-world problems in a flipped classroom
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
The primacy of 'noticing': a key to successful modelling
Galbraith, Peter, Stillman, Gloria and Brown, Jill. (2017). The primacy of 'noticing': a key to successful modelling. In In G. A. Stillman, W. Blum and G. Kaiser (Ed.). Mathematical Modelling and Applications: Crossing and Researching Boundaries in Mathematics Education pp. 83 - 94 Springer International Publishing. https://doi.org/10.1007/978-3-319-62968-1
Research into mathematical applications and modelling
Stillman, Gloria Ann, Brown, Jill Patricia, Galbraith, Peter and Ng, Kit Ee Dawn. (2016). Research into mathematical applications and modelling. In In K. Makar, S. Dole and J. Visnovska, M. Goos, A. Bennison & K. Fry (Ed.). Research in mathematics education in Australasia 2012-2015 pp. 281 - 304 Springer Science and Business Media. https://doi.org/10.1007/978-981-10-1419-2_14
Fostering mathematical modelling in secondary schools
Stillman, Gloria. (2015). Fostering mathematical modelling in secondary schools. In In L. N. Hoe and N. K. E. Dawn (Ed.). Mathematical modelling: From theory to practice pp. 125 - 141 World Scientific Publishing.
Facilitating mathematisation in modelling by beginning modellers in secondary school
Stillman, Gloria, Brown, Jill and Geiger, Vince. (2015). Facilitating mathematisation in modelling by beginning modellers in secondary school. In In G. A. Stillman, W. Blum and M. S. Biembengut (Ed.). Mathematical modelling in education research and practice: Cultural, social and cognitive influences pp. 93 - 104 Springer. https://doi.org/10.1007/978-3-319-18272-8_7
Mathematical modelling in education, research and practice: Cultural, social, and cognitive influences
Stillman, Gloria, Blum, Werner and Salett Biembengut, Maria. (2015). Mathematical modelling in education, research and practice: Cultural, social, and cognitive influences Springer.
Cultural, social, cognitive and research influences on mathematical modelling education
Stillman, Gloria, Blum, Werner and Biembengut, Maria. (2015). Cultural, social, cognitive and research influences on mathematical modelling education. In In G. A. Stillman, W. Blum and M. S. Biembengut (Ed.). Mathematical modelling in education research and practice: Cultural, social and cognitive influences pp. 1 - 32 Springer. https://doi.org/10.1007/978-3-319-18272-8_1
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
Ng, Kit Ee Dawn and Stillman, Gloria. (2015). Exploring interconnections between real-world and application tasks: Case study from Singapore. In In G. A. Stillman, W. Blum and M. S. Biembengut (Ed.). Mathematical modelling in education research and practice: Cultural, social and cognitive influences pp. 207 - 217 Springer. https://doi.org/10.1007/978-3-319-18272-8_16
Problem finding and problem posing for mathematical modelling
Stillman, Gloria. (2015). Problem finding and problem posing for mathematical modelling. In In L. N. Hoe and N. K. E. Dawn (Ed.). Mathematical modelling: From theory to practice pp. 41 - 56 World Scientific Publishing.
Mathematical modeling in school education: Mathematical, cognitive, curricular, instructional and teacher educational perspectives
Cai, Jinfa, Cirillo, Michelle, Pelesko, John, Bommero Ferri, Rita, Borba, Marcelo, Geiger, Vince, Stillman, Gloria, English, Lyn, Wake, Geoff and Kaiser, Gabriele. (2014). Mathematical modeling in school education: Mathematical, cognitive, curricular, instructional and teacher educational perspectives. In P Liljedahl, S Oesterle and C Nicol (Ed.). Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education. Canada: Springer. pp. 145 - 172
Affordances: Ten Years On
Brown, Jill and Stillman, Gloria. (2014). Affordances: Ten Years On. In J Anderson, M Cavanagh and A Prescott (Ed.). Curriculum in focus: Research guided practice (Proceedings of the 37th annual conference of the Mathematics Education Research Group of Australasia). Australia: Mathematics Education Research Group of Australasia. pp. 111 - 118
Evidence of implemented anticipation in mathematising by beginning modellers
Stillman, Gloria and Brown, Jill. (2014). Evidence of implemented anticipation in mathematising by beginning modellers. Mathematics Education Research Journal. 26(4), pp. 763 - 789. https://doi.org/10.1007/s13394-014-0119-6
Mathematical modelling: Connecting to teaching and research practices - the impact of globalisation
Stillman, Gloria, Kaiser, Gabriele, Blum, Werner and Brown, Jill P.. (2013). Mathematical modelling: Connecting to teaching and research practices - the impact of globalisation. In In GA Stillman, G Kaiser and W Blum & JP Brown (Ed.). Teaching mathematical modelling: connecting to research and practice pp. 1 - 24 Springer. https://doi.org/10.1007/978-94-007-6540-5_1
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
The role of textbooks in developing a socio-critical perspective on mathematical modelling in secondary classrooms
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
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
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
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.
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.
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
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
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.
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
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