Table of Contents


  Preface
x

Section A - Research in Teaching, Learning and Assessment
 
1 Context in application and modelling – an empirical approach
Andreas Busse1 and Gabriele Kaiser2
1In-service Teacher Training Institute, Hamburg, Germany
2University of Hamburg, Germany
3
     
2 Mathematical modelling as pedagogy: Impact of an immersion programme
Trudy Dunne1 and Peter Galbraith2
1Downlands College, Toowoomba, Queensland, Australia
2The University of Queensland, Australia
16
     
3 Using ideas from physics in teaching mathematical proofs
Gila Hanna1 and Hans Niels Jahnke2
1Ontario Institute for Studies in Education, The University of Toronto
2Universität Essen, Germany
31

 
 
4 Deconstructing mathematical modelling: Approaches to problem solving
Christopher Haines1, Rosalind Crouch2 and Andrew Fitzharris2
1City University, London, United Kingdom
2 University of Hertfordshire, Hatfield, United Kingdom
41
     
5 Investigating students’ modelling skills
Ken Houston and Neville Neill
University of Ulster, Northern Ireland
54
     
6 "How to model mathematically" table and its applications
Wang Geng
Nanjing University of Economics, China
67
     

Section B - Mathematical Modelling Competitions
 
7 New applications of the mathematics A-lympiad
Dédé de Haan
Freudenthal Institute, Utrecht University, The Netherlands
81
     
8 Mathematics contest in modelling: Problems from practice
Shang Shouting, Zheng Tong and Shang Wei
Harbin Institute of Technology, China
93

Section C - Using Technology in the Teaching of Modelling
 
9 Modelling and spreadsheet calculation
Mike Keune1 and Herbert Henning2
1Ecumenical Cathedral School of Magdeburg, Germany
2Otto-von-Guericke University of Magdeburg, Germany
101

 
 
     
10 Technology-enriched classrooms: Some implications for teaching applications and modelling
Peter Galbraith, Peter Renshaw, Merrilyn Goos and Vince Geiger
University Of Queensland, Australia
111
     
11 Choosing and using technology for secondary mathematical modelling tasks: Choosing the right peg for the right hole
Vince Geiger, Peter Galbraith, Peter Renshaw and Merrilyn Goos
University Of Queensland, Australia
126

Section D - Models for Use in Teaching
 
12 Groups, symmetry and symmetry breaking
Albert Fässler
Hochschule für Technik und Architektur HTA, Biel/Bienne, Switzerland
143
     
13 The rainbow: from myth to model
Hans-Wolfgang Henn
University of Dortmund, Germany
153
     
14 Teaching inverse problems in undergraduate level mathematics, modelling and applied mathematics courses
Fengshan Liu
Delaware State University, Dover, U.S.A
165
     
15 Bezier curves and surfaces in the classroom
Baoswan Dzung Wong
Aargauische Kantonsschule Wettingen, Switzerland
173

 
 
 

Section E - Teacher Education
 
16 A mathematical modelling course for pre-service secondary school mathematics teachers
Zhonghong Jiang, Edwin McClintock and George O’Brien
Florida International University, USA
183
     
17 Mathematical modelling in teacher education
Mikael Holmquist and Thomas Lingefjärd
Göteborg University, Sweden
197
     
18 Two modelling topics in teacher education and training
Adolf Riede
University of Heidelberg, Germany
209

Section F - Innovative Modelling Courses
 
19 The knowledge and implementation for the course of mathematical experiment
Zhao Jing, Jiang Jihong, Dan Qi and Fu Shilu
Logistics Engineering College, Chongqing, China
225
     
20 Teaching patterns of mathematical application and modelling in high school
Tang Anhua, Sui Lili and Wang Xiaodan
Beijing No.15 High School, China
233
     
21 Mathematical experiment course: Teaching mode and its practice
Qiongsun Liu, Shanqiang Ren, Li Fu and Qu Gong
Chongqing University, China
249
     
22 The mathematical modelling – orientated teaching method of elicitation
Ruiping Hu and Shuxia Zhang
Zhenjiang Watercraft College of CPLA, Jiangsu, China
257
     
23 Teaching and assessment of mathematical modelling in community colleges
Lu Xiuyan, Mo Jingjing and Lu Keqiang
Feng Tai Workers and Staff University, Beijing, China
267
     
24 The role of mathematical experiment in mathematics teaching
Jinyuan-Li
Beijing No.4 High School, China
284
     
25 Theory and practice in teaching of mathematical modelling at high school level
Qiu Jinjia
The High School Affiliated To Renmin University Of China
293

Section G - Panel Discussion
 
26 Report of panel discussion

Chair: 
Peter Galbraith, University of Queensland, Australia

Panel:
Ken Houston, University of Ulster, Northern Ireland
Tomas Jensen, Roskilde University, Denmark
Gabriele Kaiser, University of Hamburg, Germany
Yongji Tan, Fudan University, China

307