Mathematical Modelling For Teachers

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Mathematical Modelling for Teachers

Jürgen Maaß,Niamh O’Meara,Patrick Johnson,John O’Donoghue
Mathematical Modelling for Teachers Book PDF

Author : Jürgen Maaß,Niamh O’Meara,Patrick Johnson,John O’Donoghue
Publisher : Springer
Page : 168 pages
File Size : 40,9 Mb
Release : 2018-10-01
Category : Education
ISBN : 9783030004316

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Mathematical Modelling for Teachers by Jürgen Maaß,Niamh O’Meara,Patrick Johnson,John O’Donoghue Pdf

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.

Mathematical Modelling for Teachers

Keng Cheng Ang
Mathematical Modelling for Teachers Book PDF

Author : Keng Cheng Ang
Publisher : Routledge
Page : 172 pages
File Size : 49,6 Mb
Release : 2018-09-03
Category : Education
ISBN : 9781351247962

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Mathematical Modelling for Teachers by Keng Cheng Ang Pdf

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.

Mathematical Models for Teaching

Ann Kajander,Tom Boland
Mathematical Models for Teaching Book PDF

Author : Ann Kajander,Tom Boland
Publisher : Canadian Scholars’ Press
Page : 278 pages
File Size : 48,5 Mb
Release : 2014-01-01
Category : Education
ISBN : 9781551305561

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Mathematical Models for Teaching by Ann Kajander,Tom Boland Pdf

Students of mathematics learn best when taught by a teacher with a deep and conceptual understanding of the fundamentals of mathematics. In Mathematical Models for Teaching, Ann Kajander and Tom Boland argue that teachers must be equipped with a knowledge of mathematics for teaching, which is grounded in modelling, reasoning, and problem-based learning. A comprehensive exploration of models and concepts, this book promotes an understanding of the material that goes beyond memorization and recitation, which begins with effective teaching. This vital resource is divided into 15 chapters, each of which addresses a specific mathematical concept. Focusing on areas that have been identified as problematic for teachers and students, Mathematical Models for Teaching equips teachers with a different type of mathematical understanding-one that supports and encourages student development. Features: grounded in the most current research about teachers' learning contains cross-chapter connections that identify common ideas includes chapter concluding discussion questions that encourage critical thinking incorporates figures and diagrams that simplify and solidify important mathematical concepts offers further reading suggestions for instructors seeking additional information

Learning How to Teach Mathematical Modeling in School and Teacher Education

Rita Borromeo Ferri
Learning How to Teach Mathematical Modeling in School and Teacher Education Book PDF

Author : Rita Borromeo Ferri
Publisher : Springer
Page : 153 pages
File Size : 44,8 Mb
Release : 2017-11-26
Category : Education
ISBN : 9783319680729

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Learning How to Teach Mathematical Modeling in School and Teacher Education by Rita Borromeo Ferri Pdf

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.

Trends in Teaching and Learning of Mathematical Modelling

Gabriele Kaiser,Werner Blum,Rita Borromeo Ferri,Gloria Stillman
Trends in Teaching and Learning of Mathematical Modelling Book PDF

Author : Gabriele Kaiser,Werner Blum,Rita Borromeo Ferri,Gloria Stillman
Publisher : Springer Science & Business Media
Page : 734 pages
File Size : 43,6 Mb
Release : 2011-06-23
Category : Education
ISBN : 9789400709102

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Trends in Teaching and Learning of Mathematical Modelling by Gabriele Kaiser,Werner Blum,Rita Borromeo Ferri,Gloria Stillman Pdf

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

Teaching Mathematical Modelling: Connecting to Research and Practice

Gloria Ann Stillman,Gabriele Kaiser,Werner Blum,Jill P. Brown
Teaching Mathematical Modelling Connecting to Research and Practice Book PDF

Author : Gloria Ann Stillman,Gabriele Kaiser,Werner Blum,Jill P. Brown
Publisher : Springer Science & Business Media
Page : 627 pages
File Size : 46,8 Mb
Release : 2013-10-27
Category : Education
ISBN : 9789400765405

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Teaching Mathematical Modelling: Connecting to Research and Practice by Gloria Ann Stillman,Gabriele Kaiser,Werner Blum,Jill P. Brown Pdf

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.​

Teaching and Learning Mathematical Modelling

Gilbert Greefrath,Katrin Vorhölter
Teaching and Learning Mathematical Modelling Book PDF

Author : Gilbert Greefrath,Katrin Vorhölter
Publisher : Springer
Page : 42 pages
File Size : 48,7 Mb
Release : 2016-08-20
Category : Education
ISBN : 9783319450049

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Teaching and Learning Mathematical Modelling by Gilbert Greefrath,Katrin Vorhölter Pdf

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.

Measuring Professional Competence for the Teaching of Mathematical Modelling

Raphael Wess,Heiner Klock,Hans-Stefan Siller,Gilbert Greefrath
Measuring Professional Competence for the Teaching of Mathematical Modelling Book PDF

Author : Raphael Wess,Heiner Klock,Hans-Stefan Siller,Gilbert Greefrath
Publisher : Springer Nature
Page : 129 pages
File Size : 41,6 Mb
Release : 2021-07-14
Category : Education
ISBN : 9783030780715

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Measuring Professional Competence for the Teaching of Mathematical Modelling by Raphael Wess,Heiner Klock,Hans-Stefan Siller,Gilbert Greefrath Pdf

This open access book presents a structural model and an associated test instrument designed to provide a detailed analysis of professional competences for teaching mathematical modelling. The conceptualisation is based on the COACTIV model, which describes aspects, areas and facets of professional competences of teachers. The manual provides an overview of the essential teaching skills in application-related contexts and offers the tools needed to capture these aspects. It discusses the objectives and application areas of the instrument, as well as the development of the test. In addition, it describes the implementation and evaluates the quality and results of the structural equation analysis of the model. Teaching mathematical modelling is a cognitively challenging activity for (prospective) teachers. Thus, teacher education requires a detailed analysis of professional competence for teaching mathematical modelling. Measuring this competence requires theoretical models that accurately describe requirements placed upon teachers, as well as appropriate evaluation tools that adequately capture skills and abilities in this field. This book presents an instrument that measures the professional competences in a sample of 349 prospective teachers.

The Learning and Teaching of Mathematical Modelling

Mogens Niss,Werner Blum
The Learning and Teaching of Mathematical Modelling Book PDF

Author : Mogens Niss,Werner Blum
Publisher : Routledge
Page : 200 pages
File Size : 43,5 Mb
Release : 2020-01-16
Category : Education
ISBN : 9781351745734

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The Learning and Teaching of Mathematical Modelling by Mogens Niss,Werner Blum Pdf

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.

Mathematical Modelling in Education Research and Practice

Gloria Ann Stillman,Werner Blum,Maria Salett Biembengut
Mathematical Modelling in Education Research and Practice Book PDF

Author : Gloria Ann Stillman,Werner Blum,Maria Salett Biembengut
Publisher : Springer
Page : 613 pages
File Size : 51,7 Mb
Release : 2015-07-20
Category : Education
ISBN : 9783319182728

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Mathematical Modelling in Education Research and Practice by Gloria Ann Stillman,Werner Blum,Maria Salett Biembengut Pdf

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.

Becoming a Teacher of Mathematical Modeling

Elizabeth G. Arnold
Becoming a Teacher of Mathematical Modeling Book PDF

Author : Elizabeth G. Arnold
Publisher : National Council of Teachers of English
Page : 0 pages
File Size : 45,6 Mb
Release : 2021
Category : Mathematical models
ISBN : 1680540467

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Becoming a Teacher of Mathematical Modeling by Elizabeth G. Arnold Pdf

This book explores what it means to teach modeling. In part I, the authors discuss mathematical modeling broadly and allow you to explore the student practices and perspectives involved, how modeling can empower students, and classroom communities that support modeling. In part II, the authors launch you on your journey of becoming a teacher of modeling by illustrating features of modeling that are evident in the classrooms of teacher who engage their students in modeling and by sharing specific strategies for making modeling a part of your own classroom practices. In part III, they examine the complementary perspectives of mathematical and statistical models, the role of modeling in the secondary mathematics curriculum, and the role of technology in supporting modeling. Finally, they share wisdom from other teachers who have engaged in this journey and invite you to join in the modeling community.

Lines of Inquiry in Mathematical Modelling Research in Education

Gloria Ann Stillman,Jill P. Brown
Lines of Inquiry in Mathematical Modelling Research in Education Book PDF

Author : Gloria Ann Stillman,Jill P. Brown
Publisher : Springer
Page : 259 pages
File Size : 53,9 Mb
Release : 2019-05-16
Category : Education
ISBN : 9783030149314

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Lines of Inquiry in Mathematical Modelling Research in Education by Gloria Ann Stillman,Jill P. Brown Pdf

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

Modelling and Applications in Mathematics Education

Peter L. Galbraith,Hans-Wolfgang Henn,Mogens Niss
Modelling and Applications in Mathematics Education Book PDF

Author : Peter L. Galbraith,Hans-Wolfgang Henn,Mogens Niss
Publisher : Springer Science & Business Media
Page : 524 pages
File Size : 48,7 Mb
Release : 2007-12-05
Category : Education
ISBN : 9780387298221

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Modelling and Applications in Mathematics Education by Peter L. Galbraith,Hans-Wolfgang Henn,Mogens Niss Pdf

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 Education and Sense-making

Gloria Ann Stillman,Gabriele Kaiser,Christine Erna Lampen
Mathematical Modelling Education and Sense making Book PDF

Author : Gloria Ann Stillman,Gabriele Kaiser,Christine Erna Lampen
Publisher : Springer Nature
Page : 502 pages
File Size : 46,5 Mb
Release : 2020-05-14
Category : Education
ISBN : 9783030376734

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Mathematical Modelling Education and Sense-making by Gloria Ann Stillman,Gabriele Kaiser,Christine Erna Lampen Pdf

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.

Mathematical Modelling Education in East and West

Frederick Koon Shing Leung,Gloria Ann Stillman,Gabriele Kaiser,Ka Lok Wong
Mathematical Modelling Education in East and West Book PDF

Author : Frederick Koon Shing Leung,Gloria Ann Stillman,Gabriele Kaiser,Ka Lok Wong
Publisher : Springer Nature
Page : 666 pages
File Size : 50,5 Mb
Release : 2021-04-26
Category : Education
ISBN : 9783030669966

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Mathematical Modelling Education in East and West by Frederick Koon Shing Leung,Gloria Ann Stillman,Gabriele Kaiser,Ka Lok Wong Pdf

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.