Advancing Mathematical Modelling and Applications Educational Research and Practice

Book chapter

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

Publication dates
Authors	Greefrath, Gilbert, Carreira, Susana and Stillman, Gloria Ann
Editors	Greefrath, Gilbert, Carreira, Susana and Stillman, Gloria Ann
Abstract	This volume provides a snapshot of the current state-of-the-art in theory, research, and practice in the area of mathematical modelling in education. Recognising at the outset the important development of the subfield of mathematical modelling in mathematics education in the last decades, this chapter presents the main themes of a set of contributions concerning educational research and practice on the teaching and learning of mathematical modelling. The various chapters reflect the work carried out at ICME-14 held in Shanghai in July 2021, within the scope of Topic Study Group 22 and Survey Team 4, whose mission was to systematise the current state-of-the-art on the teaching and learning of mathematical modelling considering interdisciplinary aspects. In the collection are systematic literature reviews that offer an overview of mathematical modelling in mathematics education, and empirical studies adopting different theoretical perspectives and research aims addressing key issues that fall within the learning of mathematical modelling at the school level and the tertiary level, teacher education in modelling and teaching methods. This set of studies is an indicator of the consistency of ongoing research in mathematical modelling and applications. Diversity and complementarity are evident. Opportunities for international cooperation are apparent and key for the advancement of the subfield of mathematical modelling in mathematics education.
Page range	3
	19
Year	01 Jan 2023
Book title	Advancing and Consolidating Mathematical Modelling : Research from ICME-14
Publisher	Springer Science and Business Media B.V.
Place of publication	Netherlands
Edition	1
Series	International Perspectives on the Teaching and Learning of Mathematical Modelling
ISBN	978-3-031-27114-4
ISSN	2211-4920
Digital Object Identifier (DOI)	https://doi.org/10.1007/978-3-031-27115-1_1
Web address (URL)	https://link.springer.com/chapter/10.1007/978-3-031-27115-1_1
Open access	Published as non-open access
Research or scholarly	Research
Publisher's version	License All rights reserved File Access Level Controlled
Output status	Published
Online	18 Apr 2023
Publication process dates
Accepted	19 Apr 2023
Deposited	30 Jul 2024
Additional information	© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023, corrected publication 2024.
	This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed.

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Survey of interdisciplinary aspects of the teaching and learning of mathematical modelling in mathematics education

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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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Teaching secondary school mathematics : Research and practice for the 21st century

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

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Evidence of implemented anticipation in mathematising by beginning modellers

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Mathematical modelling: Connecting to teaching and research practices - the impact of globalisation

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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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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 and Applications

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Evolution of applications and modelling in a senior secondary curriculum

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

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Editorial: To err is human

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Trends in Teaching and Learning of Mathematical Modelling (ICTMA 14)

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Editorial: Historical sources and historical development of statistical ideas

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Pre-service secondary mathematics teachers' affinity with using modelling tasks in teaching years 8-10

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Turning ideas into modeling problems

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Identifying challenges within transition phases of mathematical modeling activities at Year 9

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The other side of the coin :attempts to embed authentic real world tasks in the secondary curriculum

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Implementing applications and modelling in secondary school: Issues for teaching and learning

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Preservice secondary teachers' competencies in proof

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Research into the teaching and learning of applications and modelling in Australasia

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Competencies in argumentation and proof :A comparative study of future mathematics teachers from Australia, Germany and Hong Kong

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Future teachers' professional knowledge on argumentation and proof: A case study from universities in three countries

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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

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Defining moments in the graphing calculator solution of a cubic function task

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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