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Teaching Mathematical Modelling: Connecting to Research and Practice 2013 ed. [Hardback]

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This book provides readers with an overview of recent international research and developments in the teaching and learning of modelling and applications from a variety of theoretical and practical perspectives.

This book provides readers with an overview of recent international research and developments in the teaching and learning of modelling and applications from a variety of theoretical and practical perspectives. There is a strong focus on pedagogical issues for teaching and learning of modelling as well as research into teaching and practice. The teaching of applications of mathematics and mathematical modelling from the early years through primary and secondary school and at tertiary level is rising in prominence in many parts of the world commensurate with an ever-increasing usage of mathematics in business, the environment, industry and everyday life. The authors are all members of the International Community of Teachers of Mathematical Modelling and Applications and important researchers in mathematics education and mathematics. The book will be of interest to teachers, practitioners and researchers in universities, polytechnics, teacher education, curriculum and policy.?

Recenzijas

From the reviews:

Teaching Mathematical Modelling: Connecting to Research and Practice is a vast collection of international research on teaching mathematical modeling of applied problems. The book explores both pedagogical and teaching practices for the interested reader. The students ages range from elementary to secondary schooling years, with a heavy focus on how teachers can use real-world examples in their mathematics classes. (Peter Olszewski, MAA Reviews, May, 2014)

1 Mathematical Modelling: Connecting to Teaching and Research Practices -- The Impact of Globalisation
1(26)
Gloria Ann Stillman
Gabriele Kaiser
Werner Blum
Jill P. Brown
Part I Innovative Practices in Modelling Education Research and Teaching
2 From Conference to Community: An ICTMA Journey---The Ken Houston Inaugural Lecture
27(20)
Peter Galbraith
3 Modelling from the Perspective of Commognition -- An Emerging Framework
47(10)
Jonas Bergman Arleback
Peter Frejd
4 Should Interpretation Systems Be Considered to Be Models if They Only Function Implicitly?
57(10)
Rita Borromeo Ferri
Richard Lesh
5 Mathematical Modelling, Mathematical Content and Tensions in Discourses
67(10)
Andreia Maria
Pereira de Oliveira
Jonei Cerqueira Barbosa
6 Ethnomodelling as a Methodology for Ethnomathematics
77(12)
Milton Rosa
Daniel Clark Orey
7 Dual Modelling Cycle Framework for Responding to the Diversities of Modellers
89(12)
Akihiko Saeki
Akio Matsuzaki
8 The Eyes to See: Theoretical Lenses for Mathematical Modelling Research
101(6)
Nils Buchholtz
9 Strasser's Didactic Tetrahedron as a Basis for Theorising Mathematical Modelling Activity Within Social Contexts
107(10)
Vince Geiger
10 Ethnomodelling as a Research Lens on Ethnomathematics and Modelling
117(14)
Milton Rosa
Daniel Clark Orey
Part II Research into, or Evaluation of, Teaching Practice
11 Real-Life Modelling Within a Traditional Curriculum: Lessons from a Singapore Experience
131(10)
Ang Keng Cheng
12 Students' Mathematical Learning in Modelling Activities
141(12)
Morten Blomhøj
Tinne Hoff Kjeldsen
13 Students' Designing an Ideal Tourism Route as Mathematical Modelling
153(12)
Chan Chun Ming Eric
14 Comparison of Mathematical Modelling Skills of Secondary and Tertiary Students
165(10)
Juntao Fu
Jinxing Xie
15 Taking Advantage of Incidental School Events to Engage with the Applications of Mathematics: The Case of Surviving the Reconstruction
175(10)
Vince Geiger
Merrilyn Goos
Shelley Dole
16 The Development of Modelling Competencies by Year 9 Students: Effects of a Modelling Project
185(10)
Susanne Grunewald
17 Evidence of a Dual Modelling Cycle: Through a Teaching Practice Example for Pre-service Teachers
195(12)
Akio Matsuzaki
Akihiko Saeki
18 Considering Multiple Solutions for Modelling Problems -- Design and First Results from the MultiMa-Project
207(10)
Stanislaw Schukajlow
Andre Krug
19 Challenges in Modelling Challenges: Intents and Purposes
217(12)
Gloria Ann Stillman
Jill P. Brown
Peter Galbraith
20 Mathematical Modelling of a Real-World Problem: The Decreasing Number of Bluefin Tkina
229(12)
Akira Yanagimoto
Noboru Yoshimura
21 Mathematical Modelling of a Social Problem: Pension Tax Issues
241(14)
Noboru Yoshimura
Akira Yanagimoto
Part III Pedagogical Issues for Teaching and Learning
22 Pedagogical Reflections on the Role of Modelling in Mathematics Instruction
255(22)
Toshikazu Ikeda
23 Complex Modelling Problems in Co-operative, Self-Directed Learning Environments
277(18)
Gabriele Kaiser
Peter Stender
24 Inducting Year 6 Students into "A Culture of Mathematising as a Practice"
295(12)
Jill P. Brown
25 A Whole Week of Modelling -- Examples and Experiences of Modelling for Students in Mathematics Education
307(10)
Nils Buchholtz
Sarah Mesrogli
26 Teachers' Self-Perceptions of Their Pedagogical Content Knowledge Related to Modelling -- An Empirical Study with Austrian Teachers
317(10)
Sebastian Kuntze
Hans-Stefan Siller
Christiane Vogl
27 A Cross-Sectional Study About Modelling Competency in Secondary School
327(12)
Matthias Ludwig
Xenia-Rosemarie Reit
28 Teacher Readiness in Mathematical Modelling: Are There Differences Between Pre-service and In-Service Teachers?
339(10)
Kit Ee Dawn Ng
29 Exploring the Relationship Between Mathematical Modelling and Classroom Discourse
349(12)
Trevor Redmond
Raymond Brown
Joanne Sheehy
30 The Role of Textbooks in Developing a Socio-critical Perspective on Mathematical Modelling in Secondary Classrooms
361(12)
Gloria Ann Stillman
Jill p. Brown
Rhonda Faragher
Vince Geiger
Peter Galbraith
31 Pre-service Secondary School Teachers' Knowledge in Mathematical Modelling -- A Case Study
373(12)
Tan Liang Soon
Ang Keng Cheng
32 How Students Connect Descriptions of Real-World Situations to Mathematical Models in Different Representational Modes
385(10)
Wim Van Dooren
Dirk De Bock
Lieven Verschaffel
33 Pre-service Teacher Learning for Mathematical Modelling
395(10)
Mark Winter
Hamsa Venkat
34 Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Conceptions of Mathematical Modelling
405(10)
Chan Chun Ming Eric
35 Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Problem Posing and Task Design
415(12)
Lee Ngan Hoe
36 Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: A Framework for Facilitation
427(10)
Kit Ee Dawn Ng
37 Teacher Professional Development on Mathematical Modelling: Initial Perspectives from Singapore
437(8)
Vince Geiger
Part IV Influences of Technologies
38 Reality Based Test Tasks with Digital Tools at Lower Secondary
445(12)
Gilbert Greefrath
Michael Rieb
39 On Comparing Mathematical Models and Pedagogical Learning
457(12)
Janeen Lamb
Jana Visnovska
Part V Assessment in Schools
40 Formative Assessment in Everyday Teaching of Mathematical Modelling: Implementation of Written and Oral Feedback to Competency-Oriented Tasks
469(10)
Michael Besser
Werner Blum
Malte Klimczak
41 Assessment of Modelling in Mathematics Examination Papers: Ready-Made Models and Reproductive Mathematising
479(12)
Pauline Vos
Part VI Applicability at Different Levels of Schooling, Vocational Education, and in Tertiary Education
42 Complex Modelling in the Primary and Middle School Years: An Interdisciplinary Approach
491(16)
Lyn D. English
43 Modelling in Brazilian Mathematics Teacher Education Courses
507(10)
Maria Salett Biembengut
44 The Development of Mathematical Concept Knowledge and of the Ability to Use This Concept to Create a Model
517(10)
Cesar Cristobal-Escalante
Veronica Vargas-Alejo
45 Problem Posing: A Possible Pathway to Mathematical Modelling
527(10)
Ann Downton
46 A Study of the Effectiveness of Mathematical Modelling of Home Delivery Packaging on Year 12 Students' Function Education
537(14)
Tetsushi Kawasaki
Yoshiki Nisawa
47 How to Introduce Mathematical Modelling in Industrial Design Education?
551(12)
Geert Langereis
Jun Hu
Loe Feijs
48 Rationality of Practice and Mathematical Modelling -- On Connections, Conflicts, and Codifications
563(10)
Lars Mouwitz
49 Extending Model Eliciting Activities (MEAs) Beyond Mathematics Curricula in Universities
573(10)
Mark Schofield
50 Building Awareness of Mathematical Modelling in Teacher Education: A Case Study in Indonesia
583(14)
Wanty Widjaja
Part VII Modelling and Applications in Business and the Lived Environment
51 Mathematics and the Pharmacokinetics of Alcohol
597(10)
Michael Jennings
Peter Adams
52 Beyond the Modelling Process: An Example to Study the Logistic Model of Customer Lifetime Value in Business Marketing
607(12)
Issic K.C. Leung
Refereeing Process 619(2)
Index 621