| Description |
1 online resource (495 pages) : illustrations |
| Series |
International Perspectives on the Teaching and Learning of Mathematical Modelling |
|
International perspectives on the teaching and learning of mathematical modelling.
|
| Contents |
Mathematical Modelling: Connecting to Teaching and Research Practices -- The Impact of Globalisation / Gloria Ann Stillman and Gabriele Kaiser -- Innovative Practices in Modelling Education Research and Teaching. From Conference to Community: An ICTMA Journey--The Ken Houston Inaugural Lecture / Peter Galbraith -- Modelling from the Perspective of Commognition -- An Emerging Framework / Jonas Bergman Ärlebäck and Peter Frejd -- Should Interpretation Systems Be Considered to Be Models if They Only Function Implicitly? / Rita Borromeo Ferri and Richard Lesh -- Mathematical Modelling, Mathematical Content and Tensions in Discourses / Andréia Maria Pereira de Oliveira and Jonei Cerqueira Barbosa -- Ethnomodelling as a Methodology for Ethnomathematics / Milton Rosa and Daniel Clark Orey -- Dual Modelling Cycle Framework for Responding to the Diversities of Modellers / Akihiko Saeki and Akio Matsuzaki |
|
The Eyes to See: Theoretical Lenses for Mathematical Modelling Research / Nils Buchholtz -- Strässer's Didactic Tetrahedron as a Basis for Theorising Mathematical Modelling Activity Within Social Contexts / Vince Geiger -- Ethnomodelling as a Research Lens on Ethnomathematics and Modelling / Milton Rosa and Daniel Clark Orey -- Research into, or Evaluation of, Teaching Practice. Real-Life Modelling Within a Traditional Curriculum: Lessons from a Singapore Experience / Keng Cheng Ang -- Students' Mathematical Learning in Modelling Activities / Morten Blomhøj and Tinne Hoff Kjeldsen -- Students' Designing an Ideal Tourism Route as Mathematical Modelling / Chun Ming Eric Chan -- Comparison of Mathematical Modelling Skills of Secondary and Tertiary Students / Juntao Fu and Jinxing Xie |
|
Taking Advantage of Incidental School Events to Engage with the Applications of Mathematics: The Case of Surviving the Reconstruction / Vince Geiger, Merrilyn Goos and Shelley Dole -- The Development of Modelling Competencies by Year 9 Students: Effects of a Modelling Project / Susanne Grünewald -- Evidence of a Dual Modelling Cycle: Through a Teaching Practice Example for Pre-service Teachers / Akio Matsuzaki and Akihiko Saeki -- Considering Multiple Solutions for Modelling Problems -- Design and First Results from the MultiMa-Project / Stanislaw Schukajlow and André Krug -- Challenges in Modelling Challenges: Intents and Purposes / Gloria Ann Stillman, Jill P. Brown and Peter Galbraith -- Mathematical Modelling of a Real-World Problem: The Decreasing Number of Bluefin Tuna / Akira Yanagimoto and Noboru Yoshimura -- Mathematical Modelling of a Social Problem: Pension Tax Issues / Noboru Yoshimura and Akira Yanagimoto |
|
Pedagogical Issues for Teaching and Learning. Pedagogical Reflections on the Role of Modelling in Mathematics Instruction / Toshikazu Ikeda -- Complex Modelling Problems in Co-operative, Self-Directed Learning Environments / Gabriele Kaiser and Peter Stender -- Inducting Year 6 Students into "A Culture of Mathematising as a Practice" / Jill P. Brown -- A Whole Week of Modelling -- Examples and Experiences of Modelling for Students in Mathematics Education / Nils Buchholtz and Sarah Mesrogli -- Teachers' Self-Perceptions of Their Pedagogical Content Knowledge Related to Modelling -- An Empirical Study with Austrian Teachers / Sebastian Kuntze, Hans-Stefan Siller and Christiane Vogl -- A Cross-Sectional Study About Modelling Competency in Secondary School / Matthias Ludwig and Xenia-Rosemarie Reit -- Teacher Readiness in Mathematical Modelling: Are There Differences Between Pre-service and In-Service Teachers? / Kit Ee Dawn Ng |
|
Exploring the Relationship Between Mathematical Modelling and Classroom Discourse / Trevor Redmond, Raymond Brown and Joanne Sheehy -- The Role of Textbooks in Developing a Socio-critical Perspective on Mathematical Modelling in Secondary Classrooms / Gloria Ann Stillman [and others] -- Pre-service Secondary School Teachers' Knowledge in Mathematical Modelling -- A Case Study / Liang Soon Tan and Keng Cheng Ang -- How Students Connect Descriptions of Real-World Situations to Mathematical Models in Different Representational Modes / Wim Van Dooren, Dirk De Bock and Lieven Verschaffel -- Pre-service Teacher Learning for Mathematical Modelling / Mark Winter and Hamsa Venkat -- Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Conceptions of Mathematical Modelling / Chun Ming Eric Chan |
|
Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Problem Posing and Task Design / Ngan Hoe Lee -- Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: A Framework for Facilitation / Kit Ee Dawn Ng -- Teacher Professional Development on Mathematical Modelling: Initial Perspectives from Singapore / Vince Geiger -- Influences of Technologies. Reality Based Test Tasks with Digital Tools at Lower Secondary / Gilbert Greefrath and Michael Rieß -- On Comparing Mathematical Models and Pedagogical Learning / Janeen Lamb and Jana Visnovska -- Assessment in Schools. Formative Assessment in Everyday Teaching of Mathematical Modelling: Implementation of Written and Oral Feedback to Competency-Oriented Tasks / Michael Besser, Werner Blum and Malte Klimczak |
|
Assessment of Modelling in Mathematics Examination Papers: Ready-Made Models and Reproductive Mathematising / Pauline Vos -- Applicability at Different Levels of Schooling, Vocational Education, and in Tertiary Education. Complex Modelling in the Primary and Middle School Years: An Interdisciplinary Approach / Lyn D. English -- Modelling in Brazilian Mathematics Teacher Education Courses / Maria Salett Biembengut -- The Development of Mathematical Concept Knowledge and of the Ability to Use This Concept to Create a Model / César Cristóbal-Escalante and Verónica Vargas-Alejo -- Problem Posing: A Possible Pathway to Mathematical Modelling / Ann Downton -- A Study of the Effectiveness of Mathematical Modelling of Home Delivery Packaging on Year 12 Students' Function Education / Tetsushi Kawasaki and Yoshiki Nisawa |
|
How to Introduce Mathematical Modelling in Industrial Design Education? / Geert Langereis, Jun Hu and Loe Feijs -- Rationality of Practice and Mathematical Modelling -- On Connections, Conflicts, and Codifications / Lars Mouwitz -- Extending Model Eliciting Activities (MEAs) Beyond Mathematics Curricula in Universities / Mark Schofield -- Building Awareness of Mathematical Modelling in Teacher Education: A Case Study in Indonesia / Wanty Widjaja -- Modelling and Applications in Business and the Lived Environment. Mathematics and the Pharmacokinetics of Alcohol / Michael Jennings and Peter Adams -- Beyond the Modelling Process: An Example to Study the Logistic Model of Customer Lifetime Value in Business Marketing / Issic K.C. Leung |
| Summary |
This bookprovides 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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Mathematical models -- Study and teaching
|
|
MATHEMATICS -- General.
|
|
Droit.
|
|
Sciences sociales.
|
|
Sciences humaines.
|
|
Mathematical models -- Study and teaching
|
| Form |
Electronic book
|
| Author |
Stillman, Gloria, editor
|
| ISBN |
9789400765405 |
|
9400765401 |
|
9400765398 |
|
9789400765399 |
|
