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This item is in: Mathematics > Mathematical modelling and scientific computing

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Mathematical modelling: Education, engineering and economics - ICTMA 12

C Haines, City University, UK, P Galbraith, University of Queensland, Australia, W Blum, University of Kassel, Germany and S Khan, City University, UK

 - covers the proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications
 - continues the ICTMA tradition of influencing teaching and learning in the application of mathematical modelling
 - shows how real life problems can be discussed during university lectures, in school classrooms and industrial research

This book continues the ICTMA tradition of influencing teaching and learning in the application of mathematical modelling. Each chapter shows how real life problems can be discussed during university lectures, in school classrooms and industrial research. International experts contribute their knowledge and experience by providing analysis, insight and comment whilst tackling large and complex problems by applying mathematical modelling. This book covers the proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications.

ISBN 1 904275 20 6
ISBN-13: 978 1 904275 20 6
August 2007
510 pages  234 x 156mm  paperback  
£70.00 / US$120.00 / €85.00
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About the authors

Christopher Haines, City University, UK. Peter Galbraith, University of Queensland, Australia. Werner Blum, University of Kassel, Germany. Sanowar Khan, City University, UK.

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Contents

SECTION 1 MODELS AND MODELLING IN REALITY
SECTION 2 MODELLING CONSTRUCTS IN EDUCATION
SECTION 3 RECOGNISING MODELLING COMPETENCIES
SECTION 4 EVERYDAY ASPECTS OF MODELLING LITERACY
SECTION 5 COGNITIVE PERSPECTIVES ON MODELLING
SECTION 6 THE PRACTICE OF MODELLING
SECTION 7 BEHAVIOURS IN ENGINEERING AND APPLICATIONS

SECTION 1 MODELS AND MODELLING IN REALITY

Communicating big themes in applied mathematics
Julian Hunt FRS, University College, London, UK

Economic modelling: Theory, reality, uncertainty and decision-making
Kate Barker, Bank of England, UK

SECTION 2 MODELLING CONSTRUCTS IN EDUCATION

Dreaming a 'possible dream': More windmills to conquer
Peter Galbraith, University of Queensland, Australia

Modelling in class: What do we want the students to learn?
Katja Maab, University of Education, Freiburg, Germany

Learning by constructing and sharing models
Celia Hoyles and Richard NOSS, Institute of Education, University of London, UK

SECTION 3 RECOGNISING MODELLING COMPETENCIES

Exemplar models: Expert-novice student behaviours
Rosalind Crouch, University of Hertfordshire and Christopher Haines, City University, London, UK

A teaching experiment in mathematical modelling
Toshikazu Ikeda, Yokohama National University, Japan, Max Stephens, University of Melbourne, Australia and Akio Matsuzaki, Tsukuba University, Japan

Modelling and modelling competencies in school
Gabriele Kaiser, University of Hamburg, Germany

Exploring university students’ competencies in modelling
France Caron and Jacques Belair, Universitk de Montreal, Canada

Facilitating middle secondary modelling competencies
Peter Galbraith, University of Queensland, Australia, Gloria Stillman and Jill Brown, University of Melbourne and Ian Edwards, Luther College, Melbourne, Australia

Assessing mathematical modelling competency
Tomas Hsjgaard Jensen, The Danish University of Education, Denmark

A stochastic model for the modelling process
Michael Voskoglou, Higher Technological Educational Institute, Patras, Greece

Assessing progress in mathematical modelling
John Izard, RMIT University, Melbourne, Australia

An introduction to CUMCM
Qiyuan Jiang and Jinxing Xie, Tsinghua University, China and Qixiao Ye, Beijing Institute of Technology, China

SECTION 4 EVERYDAY ASPECTS OF MODELLING LITERACY

Functional mathematics and teaching modelling
Hugh Burkhardt, University of Nottingham, UK

Modelling and the critical use of mathematics
Jussara de Loiola Araujo, Universidade Federal de Minas Gerais (UFMG), Brazil

Learners’ context preferences and mathematical literacy
Cyril Julie, University of the Western Cape, South Africa

‘Real world’ interactions for adult basic numeracy tutors
Yvonne Hillier, City University, London, UK

Math modelling: What skills do employers want in industry?
ManMohan Sodhi and Byung-Gak Son, City University, London, UK

SECTION 5 COGNITIVE PERSPECTIVES ON MODELLING

How do students and teachers deal with modelling problems?
Werner Blum and Dominik LeiB, University of Kassel, Germany

Teacher-student interactions in mathematical modelling
Jonei Cerqueira Barbosa, State University of Feira de Santana, Brazil

Mathematical modelling: A teachers' training study
Jose Ortiz, University of Carabobo, Venezuela, Luis Rico and Enrique Castro, University of Granada, Spain

Mathematics in the physical sciences: Multiple perspectives
Geoff Wake and Graham Hardy, University of Manchester, UK

Modelling problems from a cognitive perspective
Rita Borromeo Ferri, University of Hamburg, Germany

An explorative study on realistic mathematical modelling
Cinzia Bonotto, University of Padova, Italy

Student reasoning when models and reality conflict
Jerry Leg&, California State University, Fullerton, USA

The concept of the derivative in modelling and applications
Gerrit Roorda, Pauline Vos and Martin Goedhart, University of Groningen, The Netherlands

Inequalities as modelling tools in computing applications
Sergei Abramovich, State University of New York at Potsdam, USA

SECTION 6 THE PRACTICE OF MODELLING

Integration of energy issues in mathematics classrooms
Astrid Brinkmann, Berufskolleg Iserlohn, University of Dortmund and Klaus Brinkmann, University of Trier, Umwelt Campus, Birkenfeld, Germany

Models of ecology in teaching engineering mathematics
Norbert Gruenwald and Gabriele Sauerbier, Wismar University of Technology, Germany, Tatyana Zverkova, Odessa National University, Ukraine, Auckland University of Technology, New Zealand

Modelling as an integrated part of the class on calculus
Adolf Johannes Riede, Ruprecht-Karls-Universitiit, Heidelberg, Germany

Case study: Leak detection in a pipeline
Andrei Kolyshkin, Riga Technical University, Latvia

Discrete and continuous models for the evolution of lizard populations
Michael Jones and Amp Mukherjee, Montclair State University, New Jersey, USA

Modelling and problem solving in billiards
Burkhard Alpers, Aalen University of Applied Sciences: Germany

The lottery of Casanova
Hans-Wolfgang Henn and Andreas Biichter, University of Dortmund, Germany

Model transitions in the real world: The Catwalk problem
Thomas Lingefjard and Mikael Holmquist, Gothenburg University, Sweden

Fractal image compression
Frances0 Leonetti, University of L’ Aquila, Italy

Modelling heat flow in work rolls
Leticia Corral, Instituto Tecnol6gico de Cd. Cuauhttmoc, Chihuahua, Mexico, Rafael Colas, UANL, San Nicolas de 10s Garza, Mexico and Antonino Hemindez, Centro de Investigacion en Materiales Avanzados, Chihuahua, Mexico

Applications of modelling in engineering and technology
Sanowar Khan, Kenneth Grattan and Ludwik Finkelstein, City University, London, UK

SECTION 7 BEHAVIOURS IN ENGINEERING AND APPLICATIONS

Mathematics in architecture education
Igor Verner and Sarah Maor, Technion - Israel Institute of Technology

Modelling in Engineering: Advantages and difficulties
Maria Salett Biembengut and Nelson Hein, Universidade Regional de Blumenau, Brazil

Modelling: Difficulties for novice engineering students
Marta Anaya, Maria Inks Cavallaro and Maria Cristina Dominguez, University of Buenos Aires, Argentina

Integration of applications in the Technion calculus course
Shuki Aroshas, Igor Vemer and Abraham Berman, Technion - Israel Institute of Technology

Mathematical modelling modules for calculus teaching
Qiyuan Jiang and Jinxing Xie, Tsinghua University, China and Qixiao Ye, Beijing Institute of Technology, China

An experimental approach to teaching modelling
Ken Houston and Mark McCartney, University of Ulster, UK

Modelling for pre-service teachers
Susann Mathews and Michelle Reed, Wright State University, Dayton, Ohio, USA

The Finnish Network for mathematical modelling
Robert PichC, Seppo Pohjolainen, Kari Suomela, Kirsi Silius and Anne-Maritta Tervakari, Tampere University of Technology, Finland

Learning environment through modelling and computing
Regina Lino Franchi, Methodist University of Piracicaba, Brazil

Modelling is for reasoning
Luis Soares Barbosa and Maria Helena Martinho, Minho University, Braga, Portugal

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