Teaching Mathematical Modelling: Connecting to Research and Practice

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Stillman, Gloria Ann (Επιμελητής έκδοσης), Kaiser, Gabriele (Επιμελητής έκδοσης), Blum, Werner (Επιμελητής έκδοσης), Brown, Jill P. (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands : Imprint: Springer, 2013.
• Σειρά: International Perspectives on the Teaching and Learning of Mathematical Modelling,
• Θέματα: Education.; Applied mathematics.; Engineering mathematics.; Mathematics > Study and teaching.; Mathematics Education.; Applications of Mathematics.; Learning & Instruction.

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 w...

Πίνακας περιεχομένων:

• Series Preface: Gabriele Kaiser and Gloria Stillman
• Chapter 1 Mathematical Modelling: Connecting to Teaching and Research Practices – the impact of globalisation: Gloria Stillman, Gabriele Kaiser, Werner Blum, and Jill Brown
• Part I Innovative Practices in Modelling Education Research and Teaching
• Chapter 2 From Conference to Community: An ICTMA Journey—The Ken Houston Inaugural Lecture: Peter Galbraith
• Chapter 3 Modelling from the Perspective of Commognition – An Emerging Framework: Jonas Bergman Ärlebäck and Peter Frejd
• Chapter 4 Should Interpretation Systems be Considered to be Models if They only Function Implicitly?: Rita Borromeo Ferri and Richard Lesh
• Chapter 5 Mathematical Modelling, Mathematical Content and Tensions in Discourses: Andréia Maria Pereira de Oliveira and Jonei Cerqueira Barbosa
• Chapter 6 Ethnomodelling as a Methodology for Ethnomathematics: Milton Rosa and Daniel Clark Orey
• Chapter 7 Dual Modelling Cycle Framework for Responding to the Diversities of Modellers: Akihiko Saeki and Akio Matsuzaki
• Chapter 8 The Eyes to See: Theoretical Lenses for Mathematical Modelling Research: Nils Buchholtz
• Chapter 9 Strässer’s Didactic Tetrahedron as a Basis for Theorising Mathematical Modelling Activity within Social Contexts: Vince Geiger
• Chapter 10 Ethnomodelling as a Research Lens on Ethnomathematics and Modelling: Milton Rosa and Daniel Clark Orey
• Part II Research into, or Evaluation of, Teaching Practice
• Chapter 11 Real-life Modelling within a Traditional Curriculum: Lessons from a Singapore Experience: Ang Keng Cheng
• Chapter 12 Students’ Mathematical Learning in Modelling Activities: Morten Blomhøj and Tinne Hoff Kjeldsen
• Chapter 13 Students' Designing an Ideal Tourism Route as Mathematical Modelling: Chan Chun Ming Eric
• Chapter 14 Comparison of Mathematical Modelling Skills of Secondary and Tertiary Students: Juntao Fu and Jinxing Xie
• Chapter 15 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
• Chapter 16 The Development of Modelling Competencies by Year 9 Students: Effects of a Modelling Project: Susanne Grünewald
• Chapter 17 Evidence of a Dual Modelling Cycle: Through a Teaching Practice Example for Pre-service Teachers: Akio Matsuzaki and Akihiko Saeki
• Chapter 18 Considering Multiple Solutions for Modelling Problems – Design and First Results from the MultiMa-Project: Stanislaw Schukajlow and André Krug
• Chapter 19 Challenges in Modelling Challenges: Intents and Purposes: Gloria Stillman, Jill Brown, and Peter Galbraith
• Chapter 20 Mathematical Modelling of a Real-world Problem: The Decreasing Number of Bluefin Tuna: Akira Yanagimoto and Noboru Yoshimura
• Chapter 21 Mathematical Modelling of a Social Problem: Pension Tax Issues: Noboru Yoshimura and Akira Yanagimoto
• Part III Pedagogical Issues for Teaching and Learning
• Chapter 22 Pedagogical Reflections on the Role of Modelling in Mathematics Instruction: Toshikazu Ikeda
• Chapter 23 Complex Modelling Problems in Co-Operative, Self-directed Learning Environments: Gabriele Kaiser and Peter Stender
• Chapter 24 Inducting Year 6 Students into “a Culture of Mathematising as a Practice”: Jill Brown
• Chapter 25 A Whole Week of Modelling – Examples and Experiences of Modelling for Students in Mathematics Education: Nils Buchholtz and Sarah Mesrogli
• Chapter 26 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
• Chapter 27 A Cross-Sectional Study about Modelling Competency in Secondary School: Matthias Ludwig and Xenia-Rosemarie Reit
• Chapter 28 Teacher Readiness in Mathematical Modelling: Are there Differences between Pre-service and In-service Teachers? Kit Ee Dawn Ng
• Chapter 29 Exploring the Relationship between Mathematical Modelling and Classroom Discourse: Trevor Redmond, Raymond Brown, and Joanne Sheehy
• Chapter 30 The Role of Textbooks in Developing a Socio-critical Perspective on Mathematical Modelling in Secondary Classrooms: Gloria Stillman, Jill P Brown, Rhonda Faragher, Vince Geiger and Peter Galbraith
• Chapter 31 Pre-service Secondary School Teachers’ Knowledge in Mathematical Modelling – A Case Study: Tan Liang Soon and Ang Keng Cheng
• Chapter 32 How Students Connect Descriptions of Real-world Situations to Mathematical Models in Different Representational Modes: Wim Van Dooren, Dirk De Bock, and Lieven Verschaffel
• Chapter 33 Pre-service Teacher Learning for Mathematical Modelling: Mark Winter
• Chapter 34 Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Problem Posing and Task Design: Lee Ngan Hoe
• Chapter 35 Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Conceptions of Mathematical Modelling: Chan Chun Ming Eric
• Chapter 36 Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: A Framework for Facilitation: Kit Ee Dawn Ng
• Chapter 37 Teacher Professional Development on Mathematical Modelling: Initial Perspectives from Singapore: Vince Geiger
• Part IV Influences of Technologies
• Chapter 38 Reality Based Test Tasks with Digital Tools at Lower Secondary: Gilbert Greefrath and Michael Rieß
• Chapter 39 On Comparing Mathematical Models and Pedagogical Learning: Janeen Lamb and Jana Visnovska
• Part V Assessment in Schools
• Chapter 40 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
• Chapter 41 Assessment of Modelling in Mathematics Examination Papers: Ready-made Models and Reproductive Mathematising: Pauline Vos.-Part VI Applicability at Different Levels of Schooling, Vocational Education, and in Tertiary Education
• Chapter 42 Complex Modelling in the Primary and Middle School Years: An Interdisciplinary Approach: Lyn D. English
• Chapter 43 Modelling in Brazilian Mathematics Teacher Education Courses: Maria Salett Biembengut
• Chapter 44 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
• Chapter 4 Problem Posing: A Possible Pathway to Mathematical Modelling: Ann Downton
• Chapter 46 A Study of the Effectiveness of Mathematical Modelling of Home: Delivery Packaging on Year 12 Students' Function Education: Tetsushi Kawasaki and Yoshiki Nisawa
• Chapter 47 How to Introduce Mathematical Modelling in Industrial Design Education? Geert Langereis, Jun Hu, and Loe Feijs
• Chapter 48 Rationality of Practice and Mathematical Modelling – On Connections, Conflicts, and Codifications: Lars Mouwitz
• Chapter 49 Extending Model Eliciting Activities (MEAs) beyond Mathematics Curricula in Universities: Mark Schofield
• Chapter 50 Building Awareness of Mathematical Modelling in Teacher Education: A Case Study in Indonesia: Wanty Widjaja
• Part VII Modelling and Applications in Business and the Lived Environment
• Chapter 51: Mathematics and the Pharmacokinetics of Alcohol: Michael Jennings and Peter Adams. - Chapter 52 Beyond the Modelling Process: An Example to Study the Logistic Model of Customer Lifetime Value in Business Marketing: Issic K. C. Leung
• List of Corresponding Authors
• Refereeing Process
• Index.