mathematical modelling from theory to practice series on mathematics education

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Mathematical Modelling

Author : Ngan Hoe Lee
ISBN : 9789814546935
Genre : Mathematics
File Size : 66. 33 MB
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This book documents the journey undertaken by educators from the Mathematics and Mathematics Education (MME) Academic Group in the National Institute of Education (NIE) and Singapore schools during a Mathematical Modelling Outreach (MMO) event in June 2010 under the guidance of renowned experts in the field of mathematical modelling. The main goal of MMO was to reach out to Singapore primary and secondary schools and introduce the potentials of mathematical modelling as a platform for eliciting mathematical thinking, communication, and reasoning among students. This book contributes to the expanding literature on mathematical modelling by offering voices from the Singaporean context. It suggests how theoretical perspectives on mathematical modelling can be transformed into actual practice in schools, all within the existing infrastructure of the current Singapore mathematics curriculum. More importantly, the book provides documentary evidence on how plans put in place through MMO in 2010 have since been realised. The publication of this book is hence timely at this juncture. Not only does the book record how MMO was among the first pebbles launched into the pond, it also serves as a bridge over which educators can stand upon to view how the ripple effect had developed from the initial MMO pebble and the directions it may continue to extend. Perhaps in the process, other ripples in the teaching, learning, and research of mathematical modelling can be created. Contents:Introduction: Mathematical Modelling Outreach in Singapore (NG Kit Ee Dawn and LEE Ngan Hoe)Setting the Stage for Mathematical Modelling in Schools:Promotion of Mathematical Modelling Competencies in the Context of Modelling Projects (Gabriele KAISER and Susanne GRÜNEWALD)Problem Finding and Problem Posing for Mathematical Modelling (Gloria STILLMAN)Mathematical Modelling in Singapore Schools: A Framework for Instruction (ANG Keng Cheng)Mathematical Modelling in Australia (Vincent GEIGER)Mathematical Modelling in Japan (Toshikazu IKEDA)Fostering Mathematical Modelling in Schools:Learning through Modelling in the Primary Years (Lyn D ENGLISH)Fostering Mathematical Modelling in Secondary Schools (Gloria STILLMAN)Mathematical Modelling — An Example from an Inter-School Modelling Challenge (Raymond BROWN, Trevor REDMOND, Joanne SHEEHY and Dawn LANG)Mathematical Learning through Modelling Tasks:Learning through "Designing a Café" (YEO Kai Kow Joseph)Learning through "Plane Punctuality" (HO Weng Kin)Learning through "Mobile Phone Plan" (CHENG Lu Pien and CHUA Kwee Gek)Learning through "The Best Paper Plane" (SOON Wan Mei Amanda, CHIOK Hwee Fen and KONG May Hua Maybelline)Learning through "Designing a Tent" (HO Siew Yin)Learning through "Dream Home" (CHAN Chun Ming Eric)Learning through "The Unsinkable Titanic" (JAGUTHSING Dindyal and FOO Him Ho) Readership: Graduate students and researchers in mathematics education; mathematics educators. Keywords:Mathematical Modelling;Mathematical Modelling in Singapore;Modelling Competencies;Model-Eliciting Tasks;Modelling Research;Modelling Projects;Theoretical Perspectives on Mathematical Modelling;Modelling framework;Teacher Education in Mathematical ModellingKey Features:This book discusses the use of mathematical modelling activities for teaching and learning in Singapore classrooms, drawing upon experiences from other countriesIt provides focused discussions on the practicalities of conducting modelling activities in the classroom based on actual implementation in the Singapore context, drawing on the Singapore Mathematics Curriculum and other curriculaIt also proposes the way forward in addressing the issue of mathematical modelling for teacher education and curricula planning in the Singapore context

Mathematical Modelling

Author : Ngan Hoe Lee
ISBN : 9814546917
Genre : Mathematics
File Size : 31. 94 MB
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This book is Volume 8 in the Series on Mathematics Education publications showcasing different themes and trends in mathematics research and practice around the world. This volume features mathematical modelling. It discusses links between theoretical underpinnings of mathematical modelling and various practices in different education systems, with particular emphasis in the Singapore context. In addition, the book documents two events organised by the Mathematics and Mathematics Education Academic Group of the National Institute of Education in June 2010: The Mathematical Modelling Outreach (MMO) and The 2nd Lee Peng Yee Symposium (LPYS). Pre-service teachers, experienced teachers and school students engaged in mathematical modelling processes during the two events. Teaching ideas, learning activities and alternative modes of evaluating the students' learning based on the Singapore Mathematics Curriculum are also presented in this volume.

Modelling And Applications In Mathematics Education

Author : Peter L. Galbraith
ISBN : 0387298223
Genre : Education
File Size : 86. 18 MB
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The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students.

Teaching Mathematical Modelling Connecting To Research And Practice

Author : Gloria Ann Stillman
ISBN : 9789400765405
Genre : Education
File Size : 42. 56 MB
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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. 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.​

Proceedings Of The Fifth International Congress On Mathematical Education

Author : CARASS
ISBN : 9781475742381
Genre : Juvenile Nonfiction
File Size : 24. 73 MB
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International Congresses on Mathematical Education (ICMEs), under the auspices of the International Commission on Mathematical Instruction, are held every four years. Previous Congresses have been held in France (Lyons), England (Exeter), the Federal Republic of Germany (Karlsruhe), and the United States of America (Berkeley). The Fifth International Congress on Mathematical Education (lCME 5) was held in Adelaide, Australia, from August 24-30, 1984. More than 1800 participants from over 70 countries participated in the Congress, while some additional 200 people attended social functions and excursions. The program for ICME 5 was planned and structured by an International Program Committee, and implemented by the National Program Committee in Australia. For the main body of the program, Chief Organisers, assisted by Australian Coordinators, were invited to plan and prepare the individual components of the program which addressed a wide range of topics and interest areas. Each of these teams involved many individuals from around the world in the detailed planning and preparation of the working sessions for their area of program responsibility. For the actual working sessions at the Congress, the smallest group had some 60 members, while the largest had well over 300. In addition to the working sessions, there were three major plenary addresses, several specially invited presentations, and over 420 individual papers in the form of short communications, either as posters or brief talks.

Mathematical Modelling In Education Research And Practice

Author : Gloria Ann Stillman
ISBN : 9783319182728
Genre : Education
File Size : 64. 93 MB
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In this volume cultural, social and cognitive influences on the research and teaching of mathematical modelling are explored from a variety of theoretical and practical perspectives. The authors of the current volume are all members of the International Community of Teachers of Mathematical Modelling and Applications, the peak research body in this field. A distinctive feature of this volume is the high number of authors from South American countries. These authors bring quite a different perspective to modelling than has been showcased in previous books in this series, in particular from a cultural point of view. As well as recent international research, there is a strong emphasis on pedagogical issues including those associated with technology and assessment, in the teaching and learning of modelling. Applications at various levels of education are exemplified. The contributions reflect common issues shared globally and represent emergent or on-going challenges.

Researching Mathematics Education In South Africa

Author : Renuka Vithal
ISBN : 0796920478
Genre : Education
File Size : 81. 19 MB
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Reflecting on the theoretical and ideological work that has contributed to the growth of mathematics education research in South Africa, this study provides a historical analysis of forces that have changed and shaped mathematics curricula over the years. The themes researched and explored include radical pedagogy, progressive classroom practices, ethnomathematics, and South African mathematics education research within both its local and international contexts.

Handbook Of International Research In Mathematics Education

Author : Lyn D. English
ISBN : 9781134626717
Genre : Education
File Size : 56. 70 MB
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This third edition of the Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and practical developments in the field of mathematics education. Authored by an array of internationally recognized scholars and edited by Lyn English and David Kirshner, this collection brings together overviews and advances in mathematics education research spanning established and emerging topics, diverse workplace and school environments, and globally representative research priorities. New perspectives are presented on a range of critical topics including embodied learning, the theory-practice divide, new developments in the early years, educating future mathematics education professors, problem solving in a 21st century curriculum, culture and mathematics learning, complex systems, critical analysis of design-based research, multimodal technologies, and e-textbooks. Comprised of 12 revised and 17 new chapters, this edition extends the Handbook’s original themes for international research in mathematics education and remains in the process a definitive resource for the field.

Mathematical Enculturation

Author : Alan Bishop
ISBN : 9789400926578
Genre : Education
File Size : 41. 51 MB
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Mathematics is in the unenviable position of being simultaneously one of the most important school subjects for today's children to study and one of the least well understood. Its reputation is awe-inspiring. Everybody knows how important it is and everybody knows that they have to study it. But few people feel comfortable with it; so much so that it is socially quite acceptable in many countries to confess ignorance about it, to brag about one's incompe tence at doing it, and even to claim that one is mathophobic! So are teachers around the world being apparently legal sadists by inflicting mental pain on their charges? Or is it that their pupils are all masochists, enjoying the thrill of self-inflicted mental torture? More seriously, do we really know what the reasons are for the mathematical activity which goes on in schools? Do we really have confidence in our criteria for judging what's important and what isn't? Do we really know what we should be doing? These basic questions become even more important when considered in the context of two growing problem areas. The first is a concern felt in many countries about the direction which mathematics education should take in the face of the increasing presence of computers and calculator-related technol ogy in society.

Trends In Teaching And Learning Of Mathematical Modelling

Author : Gabriele Kaiser
ISBN : 9400709102
Genre : Education
File Size : 45. 62 MB
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This book contains suggestions for and reflections on the teaching, learning and assessing of mathematical modelling and applications in a rapidly changing world, including teaching and learning environments. It addresses all levels of education from universities and technical colleges to secondary and primary schools. Sponsored by the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), it reflects recent ideas and methods contributed by specialists from 30 countries in Africa, the Americas, Asia, Australia and Europe. Inspired by contributions to the Fourteenth Conference on the Teaching of Mathematical Modelling and Applications (ICTMA14) in Hamburg, 2009, the book describes the latest trends in the teaching and learning of mathematical modelling at school and university including teacher education. The broad and versatile range of topics will stress the international state-of-the-art on the following issues: Theoretical reflections on the teaching and learning of modelling Modelling competencies Cognitive perspectives on modelling Modelling examples for all educational levels Practice of modelling in school and at university level Practices in Engineering and Applications

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