J.F. Matos, S.K. Houston, Werner Blum e S.P. Carreira
Woodhead Publishing | 2002 | 433 páginas | PDF | 25 Mb
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The articles included in this book are from the ICTMA 9 conference held in Lisbon, attended by delegates from about 30 countries. This work records the 1999 Lisbon Conference of ICTMA. It contains the selected and edited content of the conference and makes a significant contribution to mathematical modelling which is the significant investigative preliminary to all scientific and technological applications from machinery to satellites and docking of space-ships.
Contents
Preface ix
Section A. Mathematical modelling revisited
1 Enacting possible worlds: Making sense of (human) nature
Stephen R Campbell
2 The mountain is the utility – On the metaphorical nature of mathematical models
Susana Carreira
3 The theory of multiple intelligences and mathematical modelling
S Kenneth Houston
4 Modelling modelling: Where is the centre of gravity of-for-when teaching modelling?
John Mason
5 Fact, fiction, fiddle – Three types of models
Allan Tarp
6 Issues and problems of research on the teaching and leaming of applications and modelling
Mogens Niss
Section B. Mathematical aspects of modelling
7 Mathematical modelling by means of functional equations: The missing link in the leaming of functions
Claudi Alsina
8 Applications of simultaneous iteration
Neville T Neil
9 On the derivative of nondifferentiable fimctions
Miguel Ramos
10 Mathematics before or through applications. Top-down and bottom-up understandings of linear and exponential functions
Allan Tarp
Section C. Mathematical modelling and technology
Formulating and assessing a mathematical modelling problem in a technological environment
Roger Brown
The graphics calculator and mathematical modelling – Creating an integrated learning environment
Milton Fuller
Mobile classroom – A school project focussing on modelling
Hans- Wolfgang Henn
What should be asked of a computer program for mathematical modelling in primary/lower secondary school?
Inge B Larsen
Modelling and algebra: How ‘pure’ shall we be?
Henk van der Kooij
Section D. Mathematical modelling in higher education
16 Mathematical modelling in pre-service teacher education
Jonei Cerqueira Barbosa
17 Mathematical modelling in calculus courses
Jussara de Loiola Aratijo and Josk Antbnio Salvador
18 Mathematical modelling and technology in teacher education – Visions and reality
Thomas Lingejard and Mikael Holmquist
19 Modelling optimisation problems: From simple to realistic 216
Margarida P Mello and Sandra A Santos
20 Role of mathematical modelling and applications in university mathematics service courses: An across countries study
Sergiy Klymchuk and Tatyana Zverkova
21 A mathematics curriculum for undergraduate courses based on mathematical modelling and computer science
Regina Helena Franchi
22 Mathematical applications and modelling: A case study involving first year higher education students
Fernanda Tavares
23 Mathematical modelling with environmental students
Mike Hamson
24 Exploring different approaches to mathematical modelling in engineering calculus courses
Maria Ines Cavallaro and Marta Anaya
25 From mathematical modelling to mathematical experiments
Qiyuan Jiang
Section E. Pedagogical issues in mathematical modelling
26 Modelling: Good problems – not only a question of (good) taste
Eva Jablonka
27 Assumptions and context: Pursuing their role in modelling activity
P. Galbraith and G. Stillman
28 The effect of task organisation on classroom modelling activities 311
Iben Maj Christiansen
Aiming for success: Modelling sports problems with an aiming theme
Trevor Gethins
Context orientated teaching
Klaoudatos Nikos and Papastavridis Stavros
Enculturation in mathematical modelling
Susan J Lamon
Conceptual and procedural demands embedded in modelling tasks
Peter Galbraith and Christopher Haines
Mathematical modelling by the pupils themselves – Possibilities and limitations in school-leaving examination papers
Wolfiam Eid
Understanding students’ modelling skills
Christopher Haines, Rosalind Crouch and John Davies
The effects of students’ discussion in mathematical modelling
Toshikazu Ikeda and Max Stephens
Critical evaluation of models in relation to the modelling process
Iben Maj Christiansen
Mathematics of traffic safety – Composite real mathematics approach
Akira Yanagimoto and Noboru Yoshimura
Trigonometry with reference to modern land surveying techniques in maths lessons
Katja MaaJ