| Description |
xvi, 627 pages : illustrations (black and white) ; 25 cm |
| Series |
International perspectives on the teaching and learning of mathematical modelling ; 2211-4920 |
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International perspectives on the teaching and learning of mathematical modelling ; 2211-4920
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| Contents |
Contents note continued: 17.Evidence of a Dual Modelling Cycle: Through a Teaching Practice Example for Pre-service Teachers / Akihiko Saeki -- 18.Considering Multiple Solutions for Modelling Problems -- Design and First Results from the MultiMa-Project / Andre Krug -- 19.Challenges in Modelling Challenges: Intents and Purposes / Peter Galbraith -- 20.Mathematical Modelling of a Real-World Problem: The Decreasing Number of Bluefin Tkina / Noboru Yoshimura -- 21.Mathematical Modelling of a Social Problem: Pension Tax Issues / Akira Yanagimoto -- pt. III Pedagogical Issues for Teaching and Learning -- 22.Pedagogical Reflections on the Role of Modelling in Mathematics Instruction / Toshikazu Ikeda -- 23.Complex Modelling Problems in Co-operative, Self-Directed Learning Environments / Peter Stender -- 24.Inducting Year 6 Students into "A Culture of Mathematising as a Practice" / Jill P. Brown -- |
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Contents note continued: 25.A Whole Week of Modelling -- Examples and Experiences of Modelling for Students in Mathematics Education / Sarah Mesrogli -- 26.Teachers' Self-Perceptions of Their Pedagogical Content Knowledge Related to Modelling -- An Empirical Study with Austrian Teachers / Christiane Vogl -- 27.A Cross-Sectional Study About Modelling Competency in Secondary School / Xenia-Rosemarie Reit -- 28.Teacher Readiness in Mathematical Modelling: Are There Differences Between Pre-service and In-Service Teachers? / Kit Ee Dawn Ng -- 29.Exploring the Relationship Between Mathematical Modelling and Classroom Discourse / Joanne Sheehy -- 30.The Role of Textbooks in Developing a Socio-critical Perspective on Mathematical Modelling in Secondary Classrooms / Peter Galbraith -- 31.Pre-service Secondary School Teachers' Knowledge in Mathematical Modelling -- A Case Study / Ang Keng Cheng -- |
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Contents note continued: 32.How Students Connect Descriptions of Real-World Situations to Mathematical Models in Different Representational Modes / Lieven Verschaffel -- 33.Pre-service Teacher Learning for Mathematical Modelling / Hamsa Venkat -- 34.Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Conceptions of Mathematical Modelling / Chan Chun Ming Eric -- 35.Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Problem Posing and Task Design / Lee Ngan Hoe -- 36.Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: A Framework for Facilitation / Kit Ee Dawn Ng -- 37.Teacher Professional Development on Mathematical Modelling: Initial Perspectives from Singapore / Vince Geiger -- pt. IV Influences of Technologies -- 38.Reality Based Test Tasks with Digital Tools at Lower Secondary / Michael Rieb -- |
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Contents note continued: 39.On Comparing Mathematical Models and Pedagogical Learning / Jana Visnovska -- pt. V Assessment in Schools -- 40.Formative Assessment in Everyday Teaching of Mathematical Modelling: Implementation of Written and Oral Feedback to Competency-Oriented Tasks / Malte Klimczak -- 41.Assessment of Modelling in Mathematics Examination Papers: Ready-Made Models and Reproductive Mathematising / Pauline Vos -- pt. 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 / Lyn D. English -- 43.Modelling in Brazilian Mathematics Teacher Education Courses / Maria Salett Biembengut -- 44.The Development of Mathematical Concept Knowledge and of the Ability to Use This Concept to Create a Model / Veronica Vargas-Alejo -- 45.Problem Posing: A Possible Pathway to Mathematical Modelling / Ann Downton -- |
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Contents note continued: 46.A Study of the Effectiveness of Mathematical Modelling of Home Delivery Packaging on Year 12 Students' Function Education / Yoshiki Nisawa -- 47.How to Introduce Mathematical Modelling in Industrial Design Education? / Loe Feijs -- 48.Rationality of Practice and Mathematical Modelling -- On Connections, Conflicts, and Codifications / Lars Mouwitz -- 49.Extending Model Eliciting Activities (MEAs) Beyond Mathematics Curricula in Universities / Mark Schofield -- 50.Building Awareness of Mathematical Modelling in Teacher Education: A Case Study in Indonesia / Wanty Widjaja -- pt. VII Modelling and Applications in Business and the Lived Environment -- 51.Mathematics and the Pharmacokinetics of Alcohol / Peter Adams -- 52.Beyond the Modelling Process: An Example to Study the Logistic Model of Customer Lifetime Value in Business Marketing / Issic K.C. Leung |
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Contents note continued: 9.Strasser's Didactic Tetrahedron as a Basis for Theorising Mathematical Modelling Activity Within Social Contexts / Vince Geiger -- 10.Ethnomodelling as a Research Lens on Ethnomathematics and Modelling / Daniel Clark Orey -- pt. II Research into, or Evaluation of, Teaching Practice -- 11.Real-Life Modelling Within a Traditional Curriculum: Lessons from a Singapore Experience / Ang Keng Cheng -- 12.Students' Mathematical Learning in Modelling Activities / Tinne Hoff Kjeldsen -- 13.Students' Designing an Ideal Tourism Route as Mathematical Modelling / Chan Chun Ming Eric -- 14.Comparison of Mathematical Modelling Skills of Secondary and Tertiary Students / Jinxing Xie -- 15.Taking Advantage of Incidental School Events to Engage with the Applications of Mathematics: The Case of Surviving the Reconstruction / Shelley Dole -- 16.The Development of Modelling Competencies by Year 9 Students: Effects of a Modelling Project / Susanne Grunewald -- |
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Machine generated contents note: 1.Mathematical Modelling: Connecting to Teaching and Research Practices -- The Impact of Globalisation / Jill P. Brown -- pt. I Innovative Practices in Modelling Education Research and Teaching -- 2.From Conference to Community: An ICTMA Journey---The Ken Houston Inaugural Lecture / Peter Galbraith -- 3.Modelling from the Perspective of Commognition -- An Emerging Framework / Peter Frejd -- 4.Should Interpretation Systems Be Considered to Be Models if They Only Function Implicitly? / Richard Lesh -- 5.Mathematical Modelling, Mathematical Content and Tensions in Discourses / Jonei Cerqueira Barbosa -- 6.Ethnomodelling as a Methodology for Ethnomathematics / Daniel Clark Orey -- 7.Dual Modelling Cycle Framework for Responding to the Diversities of Modellers / Akio Matsuzaki -- 8.The Eyes to See: Theoretical Lenses for Mathematical Modelling Research / Nils Buchholtz -- |
| 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 |
| Notes |
"ISSN 2211-4939 (electronic)"--title page verso |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Also issued online |
| Subject |
Mathematical models -- Study and teaching.
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| Author |
Blum, W. (Werner), 1945- editor
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Brown, Jill P., editor
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Kaiser, Gabriele, editor
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Stillman, Gloria, editor
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| ISBN |
9789400765399 (hardback) |
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(eBook) |
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