Staff Directory

Assoc. Prof. Gloria Stillman Name: Assoc. Prof. Gloria Stillman
Associate Professor (Maths Education)
Email
gloria.stillman@acu.edu.au
Phone
+613 5336 5329
Organisational Area
Faculty of Education and Arts
Department
School of Education VIC - Ballarat
Location
Ballarat
Building 116 - 1208 Mair Street(1208 Mair Street, Lake Wendouree, VIC 3350)-Ground-RoomG.05
Biographical Information

Qualifications

BSc(UQld) BAppSc with Distn (CIAE) DipEd MEdSt PhD (UQld)

Editorships and Editorial Board Memberships

Springer Series Editor for International Perspectives on the Teaching and Learning of Mathematical Modelling

Editorial Board Member:  ZDMThe International Journal on Mathematics Education

Editorial Board Member: Mathematics Thinking and Learning

Professional Responsibilities

Past President, Newsletter Editor - ICTMA (International Community of Teachers of Mathematical Modelling and Applications)

Publications

Books

LEUNG, F.K.S., STILLMAN, G.A., KAISER, G. & WONG, K.L. (Eds.). Mathematical modelling education in East and West. Springer, Cham: 658 + xvii pp. (2021). https://doi.org/10.1007/978-3-030-66996-6

STILLMAN, G.A., KAISER, G., & LAMPEN, C.E. (Eds.). Mathematical modelling education and sense-making. Springer,Cham: 521 + xi pp. (2020). https://doi.org/10.1007/978-3-030-37673-4

STILLMAN, G.A., & BROWN, J.P. (Eds.), Lines of inquiry in mathematical modelling research in education. Springer Open, Cham: 259 + x pp. (2019). https://www.springer.com/gp/book/9783030149307

STILLMAN, G. A., BLUM, W., & KAISER, G. (Eds.). Mathematical modelling and applications: Crossing and researching boundaries in mathematics education. Springer, Cham: 647 + xi pp. (2017). https://www.springer.com/gp/book/9783319629674  

STILLMAN, G. A., BLUM, W., & BIEMBENGUT, M.S.. (Eds.). Mathematical modelling in education research and practice: Cultural, social and cognitive influences. Springer, Cham: 613 + xi pp. (2015).

STILLMAN, G. A., KAISER, G., BLUM, W., & BROWN, J.P. (Eds.). Teaching mathematical modelling: Connecting to research and practice. Springer, Dordrecht: 627 + xv pp. (2013).

KAISER, G., BLUM, W., BORROMEO FERRI, R., & STILLMAN, G.(Eds.). Trends in teaching and learning of  mathematical modelling, Springer, Dordrecht: 732 + xiii pp. (2011).

GOOS, M., STILLMAN, G., & VALE, C. Teaching secondary school mathematics: Research and practice for the 21st century, Allen & Unwin, Crows Nest, NSW: 482 pp. (2007). This book was the winner of the Scholarly Reference category in The Australian Awards for Excellence in Educational Publishing for 2008.

Chapters in an Edited Book

LEUNG, F. K.S., STILLMAN, G.A., KASIER, G., & WONG, K.L. Mathematical modelling education in the cultural contexts of East and West, Mathematical modelling education in East and West, eds. F.K.S Leung, G.A. Stillman, G. Kaiser, & K.L. Wong. Springer, Cham: pp. 3-17. (2021). https://doi.org/10.1007/978-3-030-66996-6_1

STILLMAN, G.A., Kaiser, G, & Lampen, C.E. Sense-making in mathematical modelling and applications educational research and practice, Springer, Cham: pp. 15-29. (2020). https://doi.org/10.1007/978-3-030-37673-4_2

STILLMAN, G.A. State of the art on modelling in mathematics educationLines of inquiry, Lines of inquiry in mathematical modelling research in education, eds. G.A. Stillman & J.P. Brown, Springer Open, Cham: pp. 1-19. (2019). https://doi.org/10.1007/978-3-030-14931-4_1

GALBRAITH, P., STILLMAN, G.A., BROWN, J.P., & REDMOND, T. A modelling challenge: Students modelling problems of their choice, Evaluierte Lernumgebungen zum Modellieren, eds. S. Schukajlow & W. Blum, Springer Spektrum,Wiesbaden: pp.193-214. (2018). DOI: 10.1007/978-3-658-20325-2_10

STILLMAN, G. Learning and improving MKT through teaching and professional development mechanisms. In Y. Li, & R. Huang (Ed.), How Chinese acquire and improve mathematics knowledge for teaching (pp. 263-274). Rotterdam: Brill|Sense Education. (2018). https://doi.org/

GALBRAITH, P., STILLMAN, G.A., & BROWN, J.P., The primacy od 'noticing': A key to successful modelling,Mathematical modelling and applications: Crossing and researching boundaries in mathematics education, eds. G.A. Stillman, W. Blum, & G. Kaiser, Springer, Cham: pp. 217-227. (2017).  DOI: 10.1007/978-3-319-62968-1_7

STILLMAN, G.A. Enabling anticipation through visualisation in mathematising real-world problems in a flipped classroom, Mathematical modelling and applications: Crossing and researching boundaries in mathematics education, eds. G.A. Stillman, W. Blum, & G. Kaiser, Springer, Cham: pp. 163-173. (2017). DOI: 10.1007/978-3-319-62968-1_14

STILLMAN, G.A., BLUM, W. & KAISER, G. Crossing boundaries in mathematical modelling and applications educational research and practice, Mathematical modelling and applications: Crossing and researching boundaries in mathematics education, eds. G.A. Stillman, W. Blum, & G. Kaiser, Springer, Cham: pp. 1-22. (2017). DOI: 10.1007/978-3-319-62968-1_1

STILLMAN, G., BROWN, J., GALBRAITH, P., & NG, K.E.D.  Research into mathematical applications and modelling. Research in mathematics education in Australasia 2012-2015, eds. K. Makar, S. Dole, J. Visnovska, M. Goos, A. Bennison, K. Fry (Eds.). Singapore: Springer, Singapore: pp. 281-304. (2016)

NG, K.E.D., & STILLMAN, G. (2015). Exploring interconnections between real-world and application tasks: Case study from Singapore. In G.A. Stillman, W. Blum & M.S. Biembengut (Eds.), Mathematical modelling in education, research and practice: Cultural, social, and cognitive influences (pp. 207-217). Cham, Switzerland: Springer.

STILLMAN, G. (2015). Applications and modeling research in secondary classrooms: What have we learnt? In S. J. Cho (Ed.), Selected regular lectures from the 12th International Congress on Mathematics Education (pp. 791-806). Cham, Switzerland: Springer International.

STILLMAN, G. (2015). Problem finding and problem posing for mathematical modelling. In N.H. Lee & K.E.D. Ng (Eds.), Mathematical modelling: From theory to practice (pp. 41-56). Singapore: World Scientific.

STILLMAN, G. (2015). Fostering mathematical modelling in secondary schools. In N.H. Lee & K.E.D. Ng (Eds.), Mathematical modelling: From theory to practice (pp. 125-142). Singapore: World Scientific.

STILLMAN, G.A., BLUM, W., & BIEMBENGUT M.S. (2015). Cultural, social and research influences on mathematical modelling. In G.A. Stillman, W. Blum & M.S. Biembengut (Eds.), Mathematical modelling in education, research and practice: Cultural, social, and cognitive influences (pp. 1-32). Cham, Switzerland: Springer.

STILLMAN, G.A., BROWN, J.P., & GEIGER, V. (2015). Facilitating mathematisation in modelling by beginning modellers in secondary schools. In G.A. Stillman, W. Blum & M.S. Biembengut (Eds.), Mathematical modelling in education, research and practice: Cultural, social, and cognitive influences (pp. 93-103). Cham, Switzerland: Springer.

STILLMAN, G.A., BROWN, J.P., FARAGHER, R., GEIGER, V., & GALBRAITH, P.  The role of textbooks in developing a socio-critical perspective on mathematical modelling in secondary classrooms,Teaching mathematical modelling: Connecting to research and practice, eds. G.Stillman, G. Kaiser, W. Blum, & J.P. Brown, Springer, Dordrecht: pp. 361-371. (2013)

STILLMAN, G.A., BROWN, J.P., & GALBRAITH, P.  Challenges in modelling challenges:Intents and purposes,Teaching mathematical modelling: Connecting to research and practice, eds. G.Stillman, G. Kaiser, W. Blum, & J.P. Brown, Springer, Dordrecht: pp. 217-227. (2013)

STILLMAN, G.A., KAISER, G., BLUM, W. , & BROWN, J.P.  &ndash Mathematical modelling: Connecting to teaching and research practices: The impact of globalisation, Teaching mathematical modelling: Connecting to research and practice, eds. G.Stillman, G.Kaiser, W. Blum, & J.P. Brown, Springer, Dordrecht: pp. 1-24. (2013)

STILLMAN, G., & NG, K.E.D.  &ndash Embedding authentic real world tasks into secondary mathematics curricula, Educational interfaces between mathematics and industry, eds. A. Damlamian, J.F. Rodrigues, & R. Strasser, Springer, Cham, Switzerland: pp. 299-307. (2013) 

STILLMAN, G., & GALBRAITH, P.  &ndash Mathematical modelling: Some issues and reflections,  Mathematikunterricht in kontext von realitaet, kultur und lehrerprofessionalitaet, eds. W. Blum, R. Borromeo Ferri & K. Maass, Springer Spektrum, Wiesbaden: pp. 97-105. (2012)

STILLMAN, G. Applying metacognitive knowledge and strategies in applications and modelling tasks at secondary school, Trends in teaching and learning of  mathematical modelling, Springer, New York: eds. G. Kaiser, W., Blum, R., Borromeo Ferri, & G. Stillman, Springer, New York: pp. 165-180. (2011)

STILLMAN, G., & BROWN, J. &ndash Pre-service secondary mathematics teachers' affinity with using modelling tasks in teaching years 8-10,  Trends in teaching and learning of  mathematical modelling, eds. G. Kaiser, W., Blum, R., Borromeo Ferri, & G. Stillman, Springer, New York: pp. 289-298. (2011)

STILLMAN, G., & GALBRAITH, P. - Evolution of applications and modelling in a senior secondary curriculum, Trends in teaching and learning of  mathematical modelling, eds. G. Kaiser, W., Blum, R., Borromeo Ferri, & G. Stillman, Springer, New York: pp. 165-180. (2011)

KAISER, G., Blum, W., BORROMEO FERRI, R., & STILLMAN, G.(eds.) - Introduction, Trends in teaching and learning of  mathematical modelling, Springer, New York: pp. 1-5 (2011)

STILLMAN, G. - Implementing mathematical modelling in secondary school: Issues for teaching and learning, Mathematical applications and modelling, Yearbook 2010, Association of Mathematics Educators, eds. B. Kaur & J. Dindyal, World Scientific, Singapore: pp. 300-322. (2010)

GALBRAITH, P., STILLMAN, G., & BROWN, J. - Turning ideas into modelling problems, in Modelling students&rsquo mathematical modeling competencies ICTMA13, eds. R. Lesh, P. L. Galbraith, C. R. Haines & A. Hurford, Springer, New York: pp. 133-144. (2010)  

STILLMAN, G., BROWN, J., & GALBRAITH, P. -  Identifying challenges within transition phases of mathematical modeling activities at year 9, Modelling students&rsquo mathematical modeling competencies ICTMA13, eds. R. Lesh, P. L. Galbraith, C. R. Haines & A. Hurford, Springer, New York: pp. 385-398. (2010)

STILLMAN, G., CHEUNG, K-C., MASON, R., SHEFFIELD, L., SRIRAMAN, B., & UENO, K. - Challenging mathematics: Classroom practices, in Challenging mathematics in and beyond the classroom: The 16th ICMI study, New ICMI Studies Series no. 12, eds. E. Barbeau & P. Taylor, Springer, New York: pp. 243-283. (2009)

STILLMAN, G. A., BROWN, J. P., & GALBRAITH, P. L. - Research into the teaching and learning of applications and modelling in Australasia. In Research in mathematics education in Australasia 2004-2007, eds. H. Forgasz et al., Sense Publishers, Rotterdam/Taipei: pp. 141-164. (2008)

GALBRAITH, P., STILLMAN, G., BROWN, J., & EDWARDS, I. - Facilitating middle secondary modelling competencies, in Mathematical modelling (ICTMA12): Education, engineering and economics, eds. C. Haines, P., Galbraith, W., Blum,  & S. Khan, Horwood Press, Chichester, UK: pp. 130-140 (2007) 

STILLMAN, G. - Implementation case study: Sustaining curriculum change, in Modelling and Applications in Mathematics Education New ICMI Studies Series no. 10, eds. W. Blum, P. Galbraith, M. Niss, H.-W. Henn eds, Springer, New York: pp. 497-502 (2007).

STILLMAN, G. - Upper secondary perspectives on the issues. in Modelling and Applications in Mathematics Education New ICMI Studies Series no. 10, eds.W. Blum, P. Galbraith, M. Niss, H.-W. Henn eds, Springer, New York: 463-468 (2007).

STILLMAN, G., & GALBRAITH, P. - Towards constructing a measure of the complexity of applications tasks, in Mathematical modeling: A way of life, eds. S. J. Lamon, W. A. Parker, & S.K. Houston, Horwood Publishing, Chichester, UK: pp. 179-188 (2003) 

GALBRAITH, P. & STILLMAN, G. - Assumptions and context: Pursuing their role in modelling activity, in Mathematical modelling and mathematics education: Applications in science and technology, eds. J. F. Matos, S. K. Houston, W. Blum, & S. P. Carreira, Horwood Publishing, Chichester, UK: pp. 317-327 (2001) 

STILLMAN, G., & BALATTI, J. - Contribution of ethnomathematics to mainstream classroom practice, in Socio-cultural research on mathematics education: An international perspective, eds. B. Atweh, H. Forgasz, & B. Nebres, Lawrence Erlbaum, Mahwah, NJ: pp. 313-328 (2001) 

STILLMAN, G.A. - The emperor's new clothes? Teaching and assessment of mathematical applications at the senior secondary level, in Mathematical modelling: Teaching and assessment in a technology rich world, eds. P. Galbraith, W. Blum, G. Booker, & I. Huntley, Horwood Publishing, Chichester: pp. 243-253 (1998)

Other in an Edited Book

STILLMAN, G. Perspective on 'Beyond standard models&mdashmeeting the challenge of modelling'. In G. C. Leder & H. J. Forgasz (Eds.), Australasian mathematics education research: Stepping stones for the 21st century. Sense Publishers, Rotterdam, The Netherlands: p.185 (2007).

Refereed Journal Articles

SCHUKAJLOW, S., KAISER, G., & STILLMAN, G. ( 2021). Modeling from a cogniotive perspective: Theoretical considerations and empirical contributions. Mathematical Thinking and Learning. [Ahead-of-print]https://doi.org/10.1080/10986065.2021.2012631

STILLMAN, G.A., BROWN, J.P., & CZOCHER, J. A. (2020). Yes, mathematicians do X so students should do X, but it is not the X you think! ZDM Mathematics Education, 52(5), 1211-1222. https://doi.org/10.1007/s11858-020-01183-5

GEIGER V., STILLMAN, G., BROWN, J., GALBRAITH, P., & NISS, M. (2018). Using mathematics to solve real world problems: The role of enablers.  Mathematics Education Research Journal, 30(1), 7-19. http://link.springer.com/article/10.1007/s13394-017-0217-3

SCHUKAJLOW, S., KAISER, G., & STILLMAN, G. ( 2018). Empirical research on teaching and learning of mathematical modelling: A survey on the current state-of-the-art. ZDM Mathematics Education, 50(1-2), 5-18.

BROWN, J., & STILLMAN, G. (2017). Developing the roots of modelling conceptions: &ldquo&lsquomathematical modelling is the life of the world&rdquo. International Journal of Mathematical Education in Science and Technology, 48(3), 353-373.

STILLMAN, G. - Views of cognition: Different lenses for 'looking-in' on classrooms. ZDM -The International Journal on Mathematics Education, 46(3): pp.  493-496 (2014). DOI: 10.1007/s11858-014-0601-3

STILLMAN, G., & BROWN, J. - Evidence of implemented anticipation in mathematising by beginning modellers. Mathematics Education Research Journal, 26(4): pp. 763-789 (2014) DOI: 10.1007/s13394-014-0119-6

STILLMAN, G. - Implementation of IBL in Europe from an Australasian perspective. ZDM&ndashThe International Journal on Mathematics Education, 45(6): pp.  911-918 (2013). DOI: 10.1007/s11858-013-0545-z

STILLMAN, G., & MEVARECH, Z.. - Metacognition research in mathematics education from hot topic to mature field. ZDM&ndashThe International Journal on Mathematics Education, 42(2): pp. 145-148 (2010). DOI: 10.1007/s118-010-0245-x

SCHWARZ, B., LEUNG, I., BUCHOLTZ, N., KAISER, G., STILLMAN, G., BROWN, J., & VALE, C. - Future teachers&rsquo professional knowledge on argumentation and proof: A case study from universities in three countries. ZDM&ndashThe International Journal on Mathematics Education, 40(5): pp. 791-811 (2008).

BROWN, J., & STILLMAN, G.-  Defining moments in the graphing calculator solution of a cubic function task. Nordisk Matematik Didaktik (Nordic Studies in Mathematics Education), 11(3): pp. 57-84 (2006) 

GALBRAITH, P., & STILLMAN, G. - A framework for identifying student blockages during transitions in the modelling process. Zentralblatt für Didaktik der Mathematik, 38(2): pp. 143-162 (2006) 
 
STILLMAN, G. - The role of decision making and resources in group solutions of a problem involving Bayes' formula. Nordisk Matematik Didaktik (Nordic Studies in Mathematics Education), 10(1): pp. 3-23 (2005)

STILLMAN, G. - Strategies employed by upper secondary students for overcoming or exploiting conditions affecting accessibility of applications tasks. Mathematics Education Research Journal, 16(1): pp. 41-71 (2004)

STILLMAN, G. - The impact of school based assessment on the implementation of a modelling/applications based curriculum: An Australian example. Teaching Mathematics and Its Applications, 20(3): pp. 101-107 (2001)

STILLMAN, G. - Impact of prior knowledge of task context on approaches to applications tasks. Journal of Mathematical Behavior, 19(3): pp. 333-361 (2000) 

STILLMAN, G., ALISON, J., & CROKER, F. - Using the World Wide Web to improve medication calculation skills. Innovations in Education and Training International, 36(1): pp. 17-25 (1999)

STILLMAN, G. - Engagement with task context in applications tasks: Student performance and teacher beliefs. Nordisk Matematik Didaktik (Nordic Studies in Mathematics Education.), 6(3/4): pp. 51-70 (1998)

STILLMAN, G., ALISON, J., CROKER, F., TONKIN, C., & WHITE, B. - Situated learning as a model for the design of an interactive multimedia program on medication administration for nurses, Innovations in Education and Training International, 35(4): pp. 329-336 (1998) 

STILLMAN, G.A., & GALBRAITH, P. L. - Applying mathematics with real world connections: Metacognitive characteristics of secondary students. Educational Studies in Mathematics, 36(2): pp. 157-195 (1998) 

KAPUR, S., & STILLMAN, G. - Teaching and learning using the World Wide Web: A case study. Innovations in Education and Training International, 34(4): pp. 316-322. (1997). 

STILLMAN, G.A. - Mathematical processing and cognitive demand in problem solving. Mathematics Education Research Journal, 8(2): pp. 174-197 (1996)

STILLMAN, G.A. Ethnomathematics - A source of investigations in the later years of secondary school. Teaching Mathematics and Its Applications, 14 (1): pp. 15-18 (1995)

Fully Written Conference Publications

CZOCHER, J, STILLMAN, G., & BROWN, J. (2018). Verification and validation: What do we mean? In J. Hunter, P. Perger, & L. Darragh (Eds.). Making waves, opening spaces  (Proceedings of the 41st annual conference of the Mathematics Education Research Group of Australasia, pp. 250-257). Auckland: MERGA.

BROWN, J., & STILLMAN, G. Affordances: Ten years on. in  Proceedings of the 37th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA), Sydney, eds. J. Anderson, M. Cavanagh, & A. Prescott, MERGA, Adelaide: pp. 111-118. (2014)

CAI, J., CIRILLO, M, PELESKO, J.P., BORROMEO FERRI, R., BORBA, M. GEIGER, V., STILLMAN, G., ENGLISH, L. D., WAKE, G., KAISER, G.,  & KWON, O.N. Mathematical modeling in school education: Mathematical, cognitive, curricular, instructional and teacher education perspectives [Research Forum]. Proceedings of the 38th annual conference of the International  Group for the Psychology of Mathematics Educationand the 36th conference of the North American Chapter of the  Psychology of Mathematics Education (Vol. 1), eds. P. Linljedahl, C.Nicol, S. Oesterle, & D. Allan, PME/PME-NA, Vancouver: pp. 145-172. (2014)

STILLMAN, G., & BROWN, J. &ndash 'Get down and get dirty in the mathematics': Technology and mathematical modelling in senior secondary, in Mathematics: Traditions and [New] practices. Proceedings of the AAMT_MERGA conference, Alice Springs (Vol. 2), eds. J. Clarke, B. Kissane, J. Mousley, T. Spencer, & S. Thornton, MERGA, Adelaide: pp. 711-718 (2011).

STILLMAN, G., & NG, K.E.D. &ndash The other side of the coin&mdashAttempts to embed authentic real world tasks in the secondary curriculum, in Proceedings of EIMI 2010: Educational Interfaces between Mathematics and Industry, eds. A. Araújo, A. Fernandes, A. Azevedo, & J. F. Rodrigues, Centro Internacional de Matemática, Portugal/COMAP: Bedford, USA: pp. 491-500 (2010).

NG, K.E.D., & STILLMAN, G.&ndash Patterns of thinking skills application during collaborative work in a longitudinal mathematically-based interdisciplinary project, in Proceedings of the Third International Conference on Science and Mathematics Education (CoSMEd), eds. H. Cheah Ui, Wahtudi, R.P. Devadason, K. T. Ng, W. Preechaporn, & J. C. Aligaen, SEAMEO RECSAM Penang, Malayasia: pp. 320-328 (2009).

NG, K.E.D., & STILLMAN, G. &ndash Applying mathematical knowledge in a design-based interdisciplinary project, in Crossing divides. Proceedings of the 32nd annual conference of the Mathematics Education Research Group of Australasia (MERGA) (Vol. 2), eds. R. Hunter, B. Bricknell & T. Burgess, MERGA, Adelaide: pp. 411-418 (2009).

STILLMAN, G., & GALBRAITH, P. &ndash Softly, softly: Curriculum change in applications and modelling in the senior secondary curriculum in Queensland, in Crossing divides. Proceedings of the 32nd annual conference of the Mathematics Education Research Group of Australasia (MERGA) (Vol. 2), eds. R. Hunter, B. Bricknell & T. Burgess, MERGA, Adelaide: pp. 515-522 (2009). 

BROWN, J. & STILLMAN, G. . Preservice secondary teachers&rsquo competencies in proof, in Proof and proving in mathematics education. Proceedings of the 19th International Commission on Mathematical Instruction Study Conference (Vol. 1), eds. F-L. Lin, F-J Hsieh, G. Hannah & M. de Villiers, Taipei, Taiwan: pp. 94-99. (2009). 

CHAPMAN, O., ROBUTTI, O., STILLMAN, G., VASCO, C. E. - DG20: Current problems and challenges in upper secondary mathematics education, in M. Niss & E. Emborg (Eds.), Proceedings of the Tenth International Congress of Mathematics Education held at Copenhagen, Denmark, in 2004. pp. 514-518 (2008).

BROWN, J., STILLMAN, G., SCHWARZ, B., & KAISER, G. &ndash The case of mathematical proof in lower secondary school: Knowledge and competencies of pre-service teachers, in Navigating currents and charting directions. Proceedings of the 31st annual conference of the Mathematics Education Research Group of Australasia (MERGA) (Vol. 1), eds. M. Goos. K. Makar & R. Brown, MERGA, Adelaide: pp. 85-91. (2008)

NG, K.E.D., & STILLMAN, G. &ndash Interdisciplinary learning: Development of mathematical confidence, value, and the interconnectedness of mathematics scales, in Mathematics: Essential research, essential practice. Proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA) (Vol. 2,), eds. J. Watson & K. Beswick, MERGA, Adelaide: pp. 533-542 (2007). 

NG, K. E. D., STILLMAN, G. A., & STACEY, K. &ndash Interdisciplinary learning and perceptions of interconnectedness of mathematics, in Proceedings of the 31st annual conference of the International Group for the Psychology of mathematics Education, Vol. 2, eds. J. H. Woo, H. C. Lew, K. S. Park & D. Y. Seo, PME, Seoul, Korea: pp. 185-192 (2007).

STILLMAN, G., & BROWN, J. &ndash Challenges in formulating an extended modelling task at Year 9, in Mathematics: Essential for learning, essential for life, Proceedings of the twenty-first biennial conference of the Australian Association of Mathematics Teachers (AAMT), eds. H. Reeves, K. Milton & T. Spencer,  AAMT, Adelaide: pp. 224-231 (2007)  

 STILLMAN, G., BROWN, J., & GALBRAITH, P. &ndash Identifying challenges within transition phases of mathematical modelling activity at Year 9. Paper presented at the Thirteenth International Conference on The Teaching of Mathematical Modelling and Applications held at Bloomington, IN, USA. 10pp. (2007) [available http://site.educ.indiana. edu/Papers/tabid/5320/Default.aspx] 

 STILLMAN, G., GALBRAITH, P., BROWN, J., & EDWARDS, I. &ndash A framework for success in implementing mathematical modelling in the secondary classroom. In J. Watson & K. Beswick (Eds.), Mathematics: Essential research, essential practice. Proceedings of the 30th annual conference of the Mathematics Research Group of Australasia (MERGA) (Vol. 2, pp. 688-707). MERGA, Adelaide: (2007

GALBRAITH, P. L., STILLMAN, G.A., & BROWN, J. P. &ndash Identifying key transition activities for enhanced engagement in mathematical modelling, in Identities, Cultures and Learning Spaces, Proceedings of the Twenty Ninth Annual Conference of the Mathematics Education Research Group of Australasia Incorporated, eds. P. Grottenboer, R. Zevenbergen, & M. Chinnappan, MERGA, Adelaide: pp. 237-245 (2006)

NG, K.E.D., & STILLMAN, G. &ndash Interdisciplinary learning: Are there differences among streams and gender? In ERAS Conference Proceedings, ed. T. Fong, Educational Research Association, Singapore: 10 pp. (2006). 

STILLMAN, G., BROWN, J., & EDWARDS, I. &ndash Deepening understanding in mathematics. Teaching for Understanding: Behind, within and beyond. Gold Coast (2006) [Abstract only refereed.]

STILLMAN, G. The role of challenge in engaging lower secondary students in investigating real world tasks. In Proceedings of the ICMI Study 16: Mathematical Challenges in and Beyond the Classroom, Trondheim, Norway, eds. E. Barbeau & P. Taylor: 8pp (2006). Pre-Conference papers available at ICMI Study 16 website: http://www.amt.edu.au/icmis16.html

GALBRAITH, P., STILLMAN, G., BROWN, J., EDWARDS. &ndash Facilitating modelling competencies in the middle secondary school, in Conference Proceedings of the Twelfth International Conference on The Teaching of Mathematical Modelling and Applications held at London, UK. 12pp. (2005). [Abstract only refereed.]

BROWN, J., STILLMAN, G., HERBERT, S. &ndash Can the notion of affordances be of use in the design of a technology enriched mathematics curriculum? in Mathematics Education for the Third Millennium: Towards 2010, Proceedings of the Twenty Seventh Annual Conference of the Mathematics Education Research Group of Australasia Incorporated, eds. I. Putt, R. Faragher, & M. McLean, MERGA, Sydney: pp. 119-126 (2004) 

STILLMAN, G. - Sustained curriculum change: The example of the implementation of applications and modelling curricula in two Australian states, in International Commission on Mathematics Instruction Study 14: Applications and Modelling in Mathematics Education, Pre-Conference Volume, eds. H. Henn & W. Blum, ICMI, Dortmund, Germany: pp. 261-266 (2004) [Fully refereed]

STILLMAN, G. - Students&rsquo models, methods, limitations and assumptions for an applications task in a CAS calculator environment, in Mathematics: Making waves, Proceedings of the Nineteenth Biennial Conference of the Australian Association of Mathematics Teachers, eds. M. Goos & T. Spencer, AAMT, Adelaide: pp. 226-233 (2002) [Fully refereed]

STILLMAN, G. - Development of a new research tool: The cognitive demand profile, in Proceedings of the Twenty Fourth Annual Conference of the Mathematics Education Research Group of Australasia Incorporated, Vol. 2, eds. J. Bobis, M. Mitchelmore & B. Perry (Eds.), MERGA, Sydney: pp. 459-467 (2001) [Fully refereed]

STILLMAN, G. - Accessibility of applications tasks, in Making the Difference, Proceedings of the Twenty Second Annual Conference of the Mathematics Education Research Group of Australasia Incorporated, eds. J. M. Truran & K. M. Truran, MERGA, Adelaide: pp. 454-461 (1999) [Fully refereed]

STILLMAN, G.A. - Task context and applications at the senior secondary level, in Teaching Mathematics in New Times, Proceedings of the Twenty First Annual Conference of the Mathematics Education Research Group of Australasia Incorporated, Vol. 2, eds. C. Kanes, M. Goos, & E. Warren, MERGA, Gold Coast: pp. 564-571 (1998) [Fully refereed]

PUTT, I., & STILLMAN, G. - Teaching mathematics and mathematics education at a distance via technology, in Proceedings of First Asian Technology Conference in Mathematics on Innovative Use of Technology for Teaching and Research in Mathematics, Singapore: pp. 214-223 (18-21 December, 1995) [Fully refereed]

PUTT, I., HENDERSON, L., & STILLMAN, G. - Teaching mathematics at a distance via interactive multimedia, video, and projects, in Proceedings of International Commission on Mathematical Instruction (ICMI) Conference on Regional Collaboration in Mathematics Education, eds. R.P. Hunting, G.E. Fitzsimmons, P.C. Clarkson & A.J. Bishop, Monash University, Melbourne: pp. 593-602 (1995)  [Fully refereed]

STILLMAN, G.A. - The use of mapping techniques to investigate mathematical processing and cognitive demand in problem solving, in Challenges in Mathematics Education: Constraints on Construction, Proceedings of the Seventeenth Annual Conference of the Mathematics Education Research Group of Australasia, Vol.2, eds. G. Bell, B. Wright, N. Leeson, & J. Geake, MERGA, Lismore: pp. 581-589 (1994) [Fully refereed]

STILLMAN, G.A. - Metacognitive awareness and mathematical problem solving in the senior school, in Contexts in Mathematics Education, Proceedings of the Sixteenth Annual Conference of the Mathematics Education Research Group of Australasia, eds. B. Atweh, C. Kanes, M. Carss, & G. Booker, MERGA, Brisbane: pp. 515-521 (1993) [Fully refereed]

Other in Refereed Journal

BROWN, J.& STILLMAN, G.&ndash Mathematics in the new Australian curriculum [Editorial]. Australian Senior Mathematics Journal, 24(1): pp. 4-6 (2010).

STILLMAN, G., BROWN, J., & GALBRAITH, P. Researching applications and mathematical modelling in mathematics learning and teaching [Editorial]. Mathematics Education Research Journal, 22(2): pp. 1-6. (2010)

BROWN, J.& STILLMAN, G.&ndash Building more modelling experiences into the curriculum [Editorial]. Australian Senior Mathematics Journal, 23(2): pp. 4-6 (2009).

STILLMAN, G., & BROWN, J. &ndash Looking forward, looking back: Mathematics education at the senior secondary and tertiary interface [Editorial]. Australian Senior Mathematics Journal, 23(1): pp. 2-4 (2009).

STILLMAN, G.A. &ndash [Review of the book Modelling and Applications in Mathematics education]. ZDM &ndash The International Journal on Mathematics Education, 40(2): pp. 337-340 (2008)

STILLMAN, G. &ndash Researching, teaching and the practice of mathematical modelling and applications. [Review of the book Mathematical Modelling (ICTMA12): Education, Engineering and Economics]. Nordisk Matematik Didaktik (Nordic Studies in Mathematics Education), 12(4): pp. 73-78 (2007)

STILLMAN, G. &ndash Alternative perspectives on communication in mathematics classrooms. [Review of the book Challenging perspectives on mathematics classroom communication]. Mathematics Education Research Journal, 19(3): pp. 93-97 (2007)

KLEIN, M,. PUTT, I., &, STILLMAN, G. - Sabre rattling or genuine change. [Editorial]. Mathematics Teacher Education and Development, 1: pp. 1-3 (1999) 

Unreferred Publications

STILLMAN, G., & BROWN, J. &ndash Thinking, reasoning and working mathematically as a bridge into MAPS. Teaching Mathematics, 34(3): pp. 6-13 (2009).

STILLMAN, G. Connected mathematics through mathematical modelling and applications, in Connected maths, Proceedings of the 45th Annual Conference of the Mathematical Association of Victoria, eds. J. Vincent, J. Dowsey & R. Pierce, MAV, Melbourne: pp. 325-339 (2008).

STILLMAN, G., EDWARDS, I, & BROWN, J. - Mediating the cognitive demand of lessons in real-world settings, in Towards excellence in mathematics, Proceedings of the 41st Annual Conference of the Mathematical Association of Victoria, eds. B. Tadich, S. Tobias, C. Brew, B. Beatty, & P. Sullivan, MAV, Melbourne:  pp. 487-500 (2004) 

 STILLMAN, G., & STACEY, K. - Designing an applications task for mathematical methods using AIDS data, in Valuing mathematics in society, Proceedings of the 39th Annual Conference of the Mathematical Association of Victoria, eds. C. Vale, J. Roumeliotis, & J. Horwood, MAV, Melbourne: pp. 470-480 (2002) 

STILLMAN, G. - The role of extra-mathematical knowledge in application and modelling activity. Teaching Mathematics, 27(2): pp. 18-31 (2002)

STILLMAN, G. - The dynamic use of diagram drawing as an interviewing tool in analysing student responses to mathematical tasks, in Contemporary Approaches to Research in Science and Mathematics Education, Deakin University, Melbourne: 5 pp. (November, 2001)

STILLMAN, G. - Putting the project in the thesis: A new option for qualitative dissertations. QSR Insight: The QSR Newsletter, 16: p. 4. (2001)

TONKIN, C., GLAISTER, S., ALISON, J., & STILLMAN, G. - Shaping Nursing's Future: Using the Computer as a Learning Resource, in Conference Proceedings for the International Nursing Conference, New Century, New Directions, held at the Hotel Sofitel: 5 pp. (August, 8-11, 2000) 

PUTT, I., STILLMAN, G., & WARREN, E. - Continuing challenges in the new millennium. [Editorial]. Mathematics Teacher Education and Development, 2, 1-3. (2000)

ALISON, J., & STILLMAN, G. - Challenges, Choices and Change in Teaching Medication Calculations, in Change in the education of health professionals: Challenges, choices and change, Conference Proceedings of the Australasian and New Zealand Association for Medical Educators (ANZAME), ANZAME, Brisbane: pp. 31, 150-153 (1999) 

GALBRAITH, P. & STILLMAN, G. - Assumptions and context: Exploring their contribution to modelling performance, in Conference Proceedings of the Ninth International Conference on The Teaching of Mathematical Modelling and Applications held at Lisbon, Portugal. 10 pp. (A revised version of this paper was published as book chapter C3.) (1999) 

STILLMAN, G. - Including social critique in mathematical learning. Teaching Mathematics, 23(3): pp. 3-7 (1998)

STILLMAN, G.A. - The emperor's new clothes? Teaching and assessment of mathematical applications at the senior secondary school level, in Conference Proceedings of the International Conference on The Teaching of Mathematical Modelling and Applications held at Brisbane, August 1-5: 8 pp. (A revised version was published as book chapter C1) (1997)

FINAU PALAKI, K., & STILLMAN, G. - Geometrical skill behind the Tongan Tapa Designs, in Proceedings of the International History and Pedagogy of Mathematics Conference on Ethnomathematics and the Australasian Region held at Cairns, June 30-July 4, ed. G. Booker: 9 pp. (1995) 

STILLMAN, G.A. - Mathematizing - extending horizons? Teaching Mathematics, 19(4): pp. 40-44 (1994)

STILLMAN, G.A. - [Review of the curriculum materials Dime Practicals.] Teaching Mathematics, 19(3): p. 18 (1994)

STILLMAN, G.A. - Modelling in the Senior School in Mathematics Around Australia, Proceedings of the QAMT Northern Region Conference held at Townsville, July 1994, ed. G. Stillman, QAMT, Townsville: pp. 65-74 (1994)

STILLMAN, G.A. - [Review of the book Multicultural Mathematics.] Teaching Mathematics, 19(2): p. 21 (1994)

STILLMAN, G.A. - Go for Kyu Players, in Maths x Japanese = Japanese x Maths. Worksheets for K-8. - Asian Perspectives on Mathematics Education Project, ed. G. Bell, Published under license from the Commonwealth of Australia by Northern Rivers Mathematical Association, Lismore: 2 pp. (1993)

STILLMAN, G.A. - The Parking Meter Officer's Problem. The Australian Mathematics Teacher, 49(4): p. 34 (1993)

STILLMAN, G.A. - Take a chance on Ethnomathematics: A source of investigations for the senior school. In G.A. Stillman (Ed.), Take A Chance on Mathematics, Proceedings of the QAMT Northern Region Conference, held at Townsville, October 1993. QAMT, Townsville: pp. 41-48 (1993)

STILLMAN, G.A. - The Brisbane Bridge Problem. The Australian Mathematics Teacher, 49(3): p.

Research

Previous Research Projects (selection)

Using mathematics to solve real world problems: The role of enablers, Australian Research Council DP1701555, 2017-2019, $464,404.00. Chief Investigators:  V. Geiger,  G. Stillman,  J. Brown,  P. Galbraith (University of Queensland),  M. Niss (Roskilde University Centre, Denmark).

Developing Ancillary Education Positions for Pre-Service Teacher Education Students (Building Regional Capacity Project) Principal Investigator with Dr Shane Dooley Funded by DEECD, Victoria.

Competencies of Future Secondary Mathematics Teachers, [University of Melbourne Graduate School of Education Staff Competitive Research Grant Scheme 2009.] G. Stillman.

Professional Competencies of Pre-service Lower Secondary Mathematics Teachers in Australia and Germany: Links to Beliefs and Teaching Context, [University of Melbourne Joint Research Project 2007, Round 2.] G. Stillman & Prof. Gabriele Kaiser (University of Hamburg, Germany.

Enhancing Mathematics Achievement and Engagement by using Technology to Support Real Problem Solving and Lessons of High Cognitive Demand, Australian Research Council Linkage Project 2004-2007. Prof Kaye Stacey, G. Stillman (University of Melbourne, R. Pierce (University of Ballarat) + (industry partners)

A Study of Applications and Mathematical Modelling in Classroom Practice, University of Melbourne Early Career Researcher Grant 2003

Cognitive Demand of applications Tasks, James Cook University Internal Research Award 1996. 

The impact of curriculum change on the use of technology in the senior secondary mathematics classroom, James Cook University, School of Education Merit Research Award 1996. 

Completed Research Supervision

Mercy Macharia - Doctor of Education (Australian Catholic Unuiversity) 2020 Professional learning and development through reflective oractice: Lived experiences of Kenyan chemisty county teacher trainsers

Linda Parish - Doctor of Philosophy (Australian Catholic University) 2020  Changing self-limiting mindsets of young mathematically gifted students to assist talent development 

Sue Wilson- Doctor of Philosophy (Australian Catholic University) 2020 Bibliotherapy to Address Mathematics Anxiety In Primary Pre-service Teachers   

Rohani Mohamad - Doctor of Philosophy (University of Melbourne) 2014 How and why secondary mathematics teachers assessed the way they did

Marie Karwaghi-Tarabay - Doctor of Education (University of Melbourne) 2010 Problem posing as a catalyst for metacognition

Dawn Ng - Doctor of Philosophy (University of Melbourne) 2009 Development of mathematical process skills through project work for mixed ability students in Singapore secondary schools  (Principal Supervisor)

Kyla Marston, Master of Information Technology in Education (University of Melbourne) (research classified) 2006, Evaluation of the Effectiveness of the Foundations of Teaching Arithmetic Multimedia CD for improving Teacher Education and the links between Theory and Practice for Primary and Early Childhood Pre-service Teachers. Winner of ICT in Education Victoria Thesis Award 2007 for Most Meritorious Research Thesis Master of Information Technology in Education submitted in previous year in Faculty of Education, University of Melbourne.

Jill Brown, Master of Education (research classified) (University of Melbourne)  2003, An insight into student understanding of functions in a graphing calculator environment. Winner of Freda Cohen Prize 2004 for Most Meritorious Research Thesis Master of Education submitted in previous year in Faculty of Education, University of Melbourne.

Josephine Balatti, Master of Education (Hons) (James Cook University) 1996, An Ethnomathematics of Financial Planning

 

Professional Memberships

 

Member ICTMA (International Community of Teachers of Mathematical Modelling and Applications)

Member AAMT (Australian Association of Mathematics Teachers)

Member QAMT (Queensland Association of Mathematics Teachers)

Member QIT (Queensland Institute of Teachers)

 

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