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Mathematical Modelling Education And Sense Making
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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.
Book Synopsis Mathematical Modelling Education and Sense-making by :
Download or read book Mathematical Modelling Education and Sense-making written by and published by . This book was released on 2020 with total page 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.
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.
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.
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
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.
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
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.
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
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.
Book Synopsis Mathematical Modelling by : S J Lamon
Download or read book Mathematical Modelling written by S J Lamon and published by Elsevier. This book was released on 2003-06-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modelling is often spoken of as a way of life, referring to habits of mind and to dependence on the power of mathematics to describe, explain, predict and control real phenomena. This book aims to encourage teachers to provide opportunities for students to model a variety of real phenomena appropriately matched to students’ mathematical backgrounds and interests from early stages of mathematical education. Habits, misconceptions, and mindsets about mathematics can present obstacles to university students’ acceptance of a ‘‘models-and-modelling perspective’’ at this stage of mathematics education. Without prior experience in building, interpreting and applying mathematical models, many students may never come to view and regard modelling as a way of life. The book records presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003. Examines mathematical modelling as a way of life, referring to habits of mind and dependence on the power of mathematics to describe, explain, predict and control real phenomena Encourages teachers to provide students with opportunities to model a variety of real phenomena appropriately matched to students’ mathematical backgrounds and interests from early stages of mathematical education Records presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003
Book Synopsis Researching Mathematical Modelling Education in Disruptive Times by : Hans-Stefan Siller
Download or read book Researching Mathematical Modelling Education in Disruptive Times written by Hans-Stefan Siller and published by Springer Nature. This book was released on with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Mathematical Modelling for Teachers by : Keng Cheng Ang
Download or read book Mathematical Modelling for Teachers written by Keng Cheng Ang and published by Routledge. This book was released on 2018-09-03 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modelling for Teachers: Resources, Pedagogy and Practice provides everything that teachers and mathematics educators need to design and implement mathematical modelling activities in their classroom. Authored by an expert in Singapore, the global leader in mathematics education, it is written with an international readership in mind. This book focuses on practical classroom ideas in mathematical modelling suitable to be used by mathematics teachers at the secondary level. As they are interacting with students all the time, teachers generally have good ideas for possible mathematical modelling tasks. However, many have difficulty translating those ideas into concrete modelling activities suitable for a mathematics classroom. In this book, a framework is introduced to assist teachers in designing, planning and implementing mathematical modelling activities, and its use is illustrated through the many examples included. Readers will have access to modelling activities suitable for students from lower secondary levels (Years 7 and 8) onwards, along with the underlying framework, guiding notes for teachers and suggested approaches to solve the problems. The activities are grouped according to the types of models constructed: empirical, deterministic and simulation models. Finally, the book gives the reader suggestions of different ways to assess mathematical modelling competencies in students.
Book Synopsis Mathematical Modelling for Teachers by : Jürgen Maaß
Download or read book Mathematical Modelling for Teachers written by Jürgen Maaß and published by Springer. This book was released on 2018-10-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: While there are many areas of focus in mathematics education, there are many good reasons for offering applicable mathematics education in schools. Let us just mention two of the most important reasons. On the one hand, a focus on the practical side of mathematics presents a convincing and motivating answer to the typical student question: ‘Why study mathematics?’ On the other hand, education policy seems inclined to move in this direction by implementing international testing, curricula and catalogues of skills. The most important feature of this book is that the authors speak directly to you, the mathematics teachers. The authors attempt to draw you into a continuous dialogue about activities you are asked to engage in as learners. You are asked to do something, and through doing and reflecting you will gain first-hand experience of new approaches and materials. In this way, you can learn to teach applicable mathematics to your students using your own experience as learners of applicable mathematics, motivated and supported by the book. Here applicable mathematics education is the phrase we use to describe reality-based mathematics education. Reality-based mathematics relies heavily on problem solving and a positive disposition to engage with mathematics. Modelling reality and simulating selected aspects of reality are other pillars of reality-based mathematics education.
Book Synopsis Modelling and Mathematics Education by : J F Matos
Download or read book Modelling and Mathematics Education written by J F Matos and published by Elsevier. This book was released on 2001-11-01 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles included in this book are from the ICTMA 9 conference held in Lisbon, attended by delegates from about 30 countries. This work records the 1999 Lisbon Conference of ICTMA. It contains the selected and edited content of the conference and makes a significant contribution to mathematical modelling which is the significant investigative preliminary to all scientific and technological applications from machinery to satellites and docking of space-ships. Contains the selected and edited content of the 1999 Lisbon Conference of ICTMA Makes a significant contribution to mathematical modelling, which is the significant investigative preliminary to all scientific and technological applications from machinery to satellites and docking of space-ships
Book Synopsis Making Sense of Word Problems by : Eric de Corte
Download or read book Making Sense of Word Problems written by Eric de Corte and published by CRC Press. This book was released on 2000-01-01 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.
