Trends in Teaching and Learning of Mathematical Modelling

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Publisher : Springer Science & Business Media
ISBN 13 : 9400709102
Total Pages : 734 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Trends in Teaching and Learning of Mathematical Modelling by : Gabriele Kaiser

Download or read book Trends in Teaching and Learning of Mathematical Modelling written by Gabriele Kaiser and published by Springer Science & Business Media. This book was released on 2011-06-23 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Trends in Teaching and Learning of Mathematical Modelling

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Author :
Publisher : Springer
ISBN 13 : 9789400709119
Total Pages : 0 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Trends in Teaching and Learning of Mathematical Modelling by : Gabriele Kaiser

Download or read book Trends in Teaching and Learning of Mathematical Modelling written by Gabriele Kaiser and published by Springer. This book was released on 2011-06-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications and modelling and their learning and teaching in school and university have become a prominent topic in the last decades in view of the world-wide importance of the usage of mathematics in science, technology and everyday life. "Trends in Teaching and Learning of Mathematical Modelling "provides the reader ship with an overview on the newest international trends and developments on the teaching and learning of modelling from various theoretical and practical perspectives. The comprehensive overview on the most recent empirical research reflecting the development and promotion of modelling competencies at various age levels allows insight into possible affective and cognitive blockages and barriers for students modelling processes and its teaching. The papers on the usage of technology describe new possibilities, how the usage of technology can inspire the teaching and learning of modelling. International modelling projects offer chances and possibilities to enrich the teaching and learning of mathematical modelling at secondary and tertiary level and describe challenging modelling examples and their possible usage in school and university. The necessary change of teacher education towards an inclusion of mathematical modelling is reflected from different perspectives and challenging examples are given. The contributing authors are influential members of the group International Community of Teachers of Modelling and Applications and important researchers in mathematics and mathematics education. The book will be of interest to mathematics educators, teacher educators, researchers, education administrators, curriculum developers, teachers and student teachers.

Teaching and Learning Mathematical Modelling

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Author :
Publisher : Springer
ISBN 13 : 3319450042
Total Pages : 42 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Teaching and Learning Mathematical Modelling by : Gilbert Greefrath

Download or read book Teaching and Learning Mathematical Modelling written by Gilbert Greefrath and published by Springer. This book was released on 2016-08-20 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey provides an overview of the German discussion on modelling and applications in schools. It considers the development from the beginning of the 20th century to the present, and discusses the term “mathematical model” as well as different representations of the modelling process as modelling cycles. Different trends in the historical and current debate on applications and modelling can be differentiated as perspectives of modelling. Modelling is now one of the six general mathematical competencies defined in the educational standards for mathematics introduced in Germany in 2003, and there have been several initiatives to implement modelling in schools, as well as a whole range of empirical research projects focusing on teachers or students in modelling processes. As a special kind for implementing modelling into school, modelling weeks and days carried out by various German universities have been established.

Lines of Inquiry in Mathematical Modelling Research in Education

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Publisher : Springer
ISBN 13 : 3030149315
Total Pages : 259 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Lines of Inquiry in Mathematical Modelling Research in Education by : Gloria Ann Stillman

Download or read book Lines of Inquiry in Mathematical Modelling Research in Education written by Gloria Ann Stillman and published by Springer. This book was released on 2019-05-16 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book is based on selected presentations from Topic Study Group 21: Mathematical Applications and Modelling in the Teaching and Learning of Mathematics at the 13th International Congress on Mathematical Education (ICME 13), held in Hamburg, Germany on July 24–31, 2016. It contributes to the theory, research and teaching practice concerning this key topic by taking into account the importance of relations between mathematics and the real world. Further, the book addresses the “balancing act” between developing students’ modelling skills on the one hand, and using modelling to help them learn mathematics on the other, which arises from the integration of modelling into classrooms. The contributions, prepared by authors from 9 countries, reflect the spectrum of international debates on the topic, and the examples presented span schooling from years 1 to 12, teacher education, and teaching modelling at the tertiary level. In addition the book highlights professional learning and development for in-service teachers, particularly in systems where the introduction of modelling into curricula means reassessing how mathematics is taught. Given its scope, the book will appeal to researchers and teacher educators in mathematics education, as well as pre-service teachers and school and university educators

Modeling Students' Mathematical Modeling Competencies

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Publisher : Springer Science & Business Media
ISBN 13 : 9400762712
Total Pages : 635 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Modeling Students' Mathematical Modeling Competencies by : Richard Lesh

Download or read book Modeling Students' Mathematical Modeling Competencies written by Richard Lesh and published by Springer Science & Business Media. This book was released on 2013-03-17 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.

Mathematical Modelling in Education Research and Practice

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Publisher : Springer
ISBN 13 : 3319182722
Total Pages : 613 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Mathematical Modelling in Education Research and Practice by : Gloria Ann Stillman

Download or read book Mathematical Modelling in Education Research and Practice written by Gloria Ann Stillman and published by Springer. This book was released on 2015-07-20 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modelling and Applications in Mathematics Education

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Publisher : Springer Science & Business Media
ISBN 13 : 0387298223
Total Pages : 524 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Modelling and Applications in Mathematics Education by : Peter L. Galbraith

Download or read book Modelling and Applications in Mathematics Education written by Peter L. Galbraith and published by Springer Science & Business Media. This book was released on 2007-12-05 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Modelling

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Author :
Publisher : World Scientific
ISBN 13 : 9814546933
Total Pages : 256 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Mathematical Modelling by : Ngan Hoe Lee

Download or read book Mathematical Modelling written by Ngan Hoe Lee and published by World Scientific. This book was released on 2015-01-19 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and Applications

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Author :
Publisher : Springer
ISBN 13 : 3319629689
Total Pages : 647 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Mathematical Modelling and Applications by : Gloria Ann Stillman

Download or read book Mathematical Modelling and Applications written by Gloria Ann Stillman and published by Springer. This book was released on 2017-11-05 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in the life world of people whether these range from the everyday individual numeracy level to sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for multi-disciplinary work that involves knowledge from a variety of communities of practice such as those in different workplaces (e.g., those of educators, designers, construction engineers, museum curators) and in different fields of academic endeavour (e.g., history, archaeology, mathematics, economics). From an educational perspective, researching the development of competency in real world modelling involves research situated in crossing the boundaries between being a student engaged in modelling or mathematical application to real word tasks in the classroom, being a teacher of mathematical modelling (in or outside the classroom or bridging both), and being a modeller of the world outside the classroom. This is the focus of many of the authors of the chapters in this book. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.

GAIMME

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Publisher :
ISBN 13 : 9781611974430
Total Pages : 216 pages
Book Rating : 4.9/5 (744 download)

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Book Synopsis GAIMME by : Solomon A. Garfunkel

Download or read book GAIMME written by Solomon A. Garfunkel and published by . This book was released on 2016 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Learning and Teaching of Mathematical Modelling

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Author :
Publisher : Routledge
ISBN 13 : 1351745735
Total Pages : 200 pages
Book Rating : 4.3/5 (517 download)

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Book Synopsis The Learning and Teaching of Mathematical Modelling by : Mogens Niss

Download or read book The Learning and Teaching of Mathematical Modelling written by Mogens Niss and published by Routledge. This book was released on 2020-01-16 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes stock of the state of affairs of the teaching and learning of mathematical modelling with regard to research, development and practice. It provides a conceptual framework for mathematical modelling in mathematics education at all education levels, as well as the background and resources for teachers to acquire the knowledge and competencies that will allow them to successfully include modelling in their teaching, with an emphasis on the secondary school level. Mathematics teachers, mathematics education researchers and developers will benefit from this book. Expertly written and researched, this book includes a comprehensive overview of research results in the field, an exposition of the educational goals associated with modelling, the essential components of modelling competency and an extensive discussion of didacticopedagogical challenges in modelling. Moreover, it offers a wide variety of illuminating cases and best-practice examples in addition to insights into the focal points for future research and practice. The Learning and Teaching of Mathematical Modelling is an invaluable resource for teachers, researchers, textbook authors, secondary school mathematics teachers, undergraduate and graduate students of mathematics as well as student teachers.

Teaching Mathematical Modelling: Connecting to Research and Practice

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Publisher : Springer Science & Business Media
ISBN 13 : 9400765401
Total Pages : 627 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Teaching Mathematical Modelling: Connecting to Research and Practice by : Gloria Ann Stillman

Download or read book Teaching Mathematical Modelling: Connecting to Research and Practice written by Gloria Ann Stillman and published by Springer Science & Business Media. This book was released on 2013-10-27 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.​

Mathematical Modelling Education and Sense-making

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Author :
Publisher : Springer Nature
ISBN 13 : 3030376737
Total Pages : 502 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Mathematical Modelling Education and Sense-making by : Gloria Ann Stillman

Download or read book Mathematical Modelling Education and Sense-making written by Gloria Ann Stillman and published by Springer Nature. This book was released on 2020-05-14 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for cultivating sense making in classroom settings. This book focuses on the educational perspective, researching the complexities encountered in effective teaching and learning of real world modelling and applications for sense making is only beginning. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.

Teaching and Learning Mathematical Modelling

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Publisher :
ISBN 13 : 9781013267529
Total Pages : 48 pages
Book Rating : 4.2/5 (675 download)

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Book Synopsis Teaching and Learning Mathematical Modelling by : Katrin Vorhölter

Download or read book Teaching and Learning Mathematical Modelling written by Katrin Vorhölter and published by . This book was released on 2020-10-08 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey provides an overview of the German discussion on modelling and applications in schools. It considers the development from the beginning of the 20th century to the present, and discusses the term "mathematical model" as well as different representations of the modelling process as modelling cycles. Different trends in the historical and current debate on applications and modelling can be differentiated as perspectives of modelling. Modelling is now one of the six general mathematical competencies defined in the educational standards for mathematics introduced in Germany in 2003, and there have been several initiatives to implement modelling in schools, as well as a whole range of empirical research projects focusing on teachers or students in modelling processes. As a special kind for implementing modelling into school, modelling weeks and days carried out by various German universities have been established. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Mathematical Modelling Education in East and West

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Publisher : Springer Nature
ISBN 13 : 3030669963
Total Pages : 666 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Mathematical Modelling Education in East and West by : Frederick Koon Shing Leung

Download or read book Mathematical Modelling Education in East and West written by Frederick Koon Shing Leung and published by Springer Nature. This book was released on 2021-04-26 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book documents ongoing research and theorizing in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large. Mathematical tradition in China that emphasizes algorithm and computation has now seen a renaissance in mathematical modelling and applications where China has made significant progress with its economy, science and technology. In recent decades, teaching and learning of mathematical modelling as well as contests in mathematical modelling have been flourishing at different levels of education in China. Today, teachers and researchers in China become keener to learn from their colleagues from Western countries and other parts of the world in research and teaching of mathematical modelling and applications. The book provides a dialogue and communication between colleagues from across the globe with new impetus and resources for mathematical modelling education and its research in both West and East with new ideas on modelling teaching and practices, inside and outside classrooms. All authors of this book are members of the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), the peak research body into researching the teaching, assessing and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace. The book is of interest to researchers, mathematics educators, teacher educators, education administrators, policy writers, curriculum developers, professional developers, in-service teachers and pre-service teachers including those interested in mathematical literacy.

Learning How to Teach Mathematical Modeling in School and Teacher Education

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Author :
Publisher : Springer
ISBN 13 : 3319680722
Total Pages : 153 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Learning How to Teach Mathematical Modeling in School and Teacher Education by : Rita Borromeo Ferri

Download or read book Learning How to Teach Mathematical Modeling in School and Teacher Education written by Rita Borromeo Ferri and published by Springer. This book was released on 2017-11-26 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely resource fills a gap in existing literature on mathematical modeling by presenting both theory- and evidence-based ideas for its teaching and learning. The book outlines four key professional competencies that must be developed in order to effectively and appropriately teach mathematical modeling, and in so doing it seeks to reduce the discrepancies between educational policy and educational research versus everyday teaching practice. Among the key competencies covered are: Theoretical competency for practical work. Task competency for instructional flexibility. Instructional competency for effective and quality lessons. Diagnostic competency for assessment and grading. Learning How to Teach Mathematical Modeling in School and Teacher Education is relevant to practicing and future mathematics teachers at all levels, as well as teacher educators, mathematics education researchers, and undergraduate and graduate mathematics students interested in research based methods for teaching mathematical modeling.

The Proceedings of the 12th International Congress on Mathematical Education

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Publisher : Springer
ISBN 13 : 3319126881
Total Pages : 617 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis The Proceedings of the 12th International Congress on Mathematical Education by : Sung Je Cho

Download or read book The Proceedings of the 12th International Congress on Mathematical Education written by Sung Je Cho and published by Springer. This book was released on 2015-02-10 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.