Applying metacognitive knowledge and strategies in applications and modelling tasks at secondary school

Book chapter

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.

Authors	Stillman, Gloria
Editors	G. Kaiser, W. Blum and R. Borromeo Ferri & G.Stillman
Page range	165 - 180
Year	2011
Publisher	Springer
Place of publication	The Netherlands
ISBN	9789400709096
Research Group	School of Education
Publisher's version	File Access Level Controlled

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Brown, Jill P. and Stillman, Gloria Ann. (2024). Teaching tactics to manage mathematisation during mathematical modelling. In In Siller, Hans-Stefan, Geiger, Vince and Kaiser, Gabriele (Ed.). Researching mathematical modelling education in disruptive times pp. 201-211 Springer. https://doi.org/10.1007/978-3-031-53322-8_15

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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

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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

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Yes, mathematicians do X so students should do X, but it’s not the X you think!

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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

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Verification and validation: what do we mean?

Czocher, Jennifer, Stillman, Gloria and Brown, Jill. (2018). Verification and validation: what do we mean? In J. Hunter, P. Perger and L. Darragh (Ed.). New Zealand: Mathematics Education Research Group of Australasia. pp. 250 - 257

Learning and improving MKT through teaching and professional development mechanisms

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

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Crossing boundaries in mathematical modelling and applications educational research and practice

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Enabling anticipation through visualisation in mathematising real-world problems in a flipped classroom

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Developing the roots of modelling conceptions: 'mathematical modelling is the life of the world'

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The primacy of 'noticing': a key to successful modelling

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Research into mathematical applications and modelling

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Fostering mathematical modelling in secondary schools

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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

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Applications and modelling research in secondary classrooms : What have we learnt?

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Exploring interconnections between real-world and application tasks: Case study from Singapore

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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

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

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Evidence of implemented anticipation in mathematising by beginning modellers

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Challenges in modelling challenges: Intents and purposes

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Implementation of IBL in Europe from an Australasian perspective

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Mathematical modelling: Some issues and reflections

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Empirical evidence for Niss' implemented anticipation in mathematising realistic situations

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Editorial: To engage or not to engage

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Editorial: Envisioning the future of the mathematical sciences and mathematics teaching

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Mathematical modelling: Some issues and reflections

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Mathematical Modelling Challenge

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Mathematical Modelling Challenge

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Mathematical Modelling and Applications

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Evolution of applications and modelling in a senior secondary curriculum

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'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

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?

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Applying metacognitive knowledge and strategies in applications and modelling tasks at secondary school

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