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.

Lehrerkompetenzen zum Unterrichten mathematischer Modellierung

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Author :
Publisher : Springer Spektrum
ISBN 13 : 9783658226152
Total Pages : 262 pages
Book Rating : 4.2/5 (261 download)

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Book Synopsis Lehrerkompetenzen zum Unterrichten mathematischer Modellierung by : Rita Borromeo Ferri

Download or read book Lehrerkompetenzen zum Unterrichten mathematischer Modellierung written by Rita Borromeo Ferri and published by Springer Spektrum. This book was released on 2018-10-10 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Im vorliegenden Band wird verdeutlicht, welche Kompetenzen Lehrkräfte haben sollten, um Schülerinnen und Schülern im Unterricht mathematisches Modellieren zu vermitteln. Im ersten Teil des Buches liegt der Fokus auf den zum Unterrichten von Modellierung in der Schule nötigen Lehrerkompetenzen. Dabei werden auch Möglichkeiten zur Förderung solcher Kompetenzen aufgezeigt. Im zweiten Teil des Buches stehen Konzepte für die Lehreraus- und -fortbildung im Vordergrund, die angehenden und praktizierenden Lehrkräften jene Kompetenzen vermitteln können. Lehrende in Schule und Hochschule wie auch Studierende des Lehramts finden in diesem Buch zahlreiche Anregungen aus Forschung und Praxis zu Lehrerkompetenzen in Bezug auf Modellieren und zu deren Erwerb.

Measuring Professional Competence for the Teaching of Mathematical Modelling

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Author :
Publisher : Springer Nature
ISBN 13 : 3030780716
Total Pages : 129 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Measuring Professional Competence for the Teaching of Mathematical Modelling by : Raphael Wess

Download or read book Measuring Professional Competence for the Teaching of Mathematical Modelling written by Raphael Wess and published by Springer Nature. This book was released on 2021-07-14 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Exploring Mathematical Modeling with Young Learners

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Publisher : Springer Nature
ISBN 13 : 3030639002
Total Pages : 440 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Exploring Mathematical Modeling with Young Learners by : Jennifer M. Suh

Download or read book Exploring Mathematical Modeling with Young Learners written by Jennifer M. Suh and published by Springer Nature. This book was released on 2021-06-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book conceptualizes the nature of mathematical modeling in the early grades from both teaching and learning perspectives. Mathematical modeling provides a unique opportunity to engage elementary students in the creative process of mathematizing their world. A diverse community of internationally known researchers and practitioners share studies that advance the field with respect to the following themes: The Nature of Mathematical Modeling in the Early Grades Content Knowledge and Pedagogy for Mathematical Modeling Student Experiences as Modelers Teacher Education and Professional Development in Modeling Experts in the field provide commentaries that extend and connect ideas presented across chapters. This book is an invaluable resource in illustrating what all young children can achieve with mathematical modeling and how we can support teachers and families in this important work.

Trends in Teaching and Learning of Mathematical Modelling

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9400709102
Total Pages : 711 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 711 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

Cognitive Activation in the Mathematics Classroom and Professional Competence of Teachers

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461451493
Total Pages : 375 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Cognitive Activation in the Mathematics Classroom and Professional Competence of Teachers by : Mareike Kunter

Download or read book Cognitive Activation in the Mathematics Classroom and Professional Competence of Teachers written by Mareike Kunter and published by Springer Science & Business Media. This book was released on 2013-03-29 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work reports the findings of the Professional Competence of Teachers, Cognitively Activating Instruction, and Development of Students ́ Mathematical Literacy project (COACTIV). COACTIV applies a broad, innovative conceptualization of teacher competence to examine how mathematics teachers’ knowledge, beliefs, motivational orientations, and self-regulation skills influence their instructional practice and teaching outcomes In this project data was collected on various aspects of teacher competence and classroom instruction from the perspective of both the teachers themselves and their students. Moreover, it gauges the effects of these teacher characteristics on student learning, as indexed by the progress students in each class. Questions addressed in the study which are reported in this volume include: What are the characteristics of successful teaching? What distinguishes teachers who succeed in their profession? How can the quality of instruction be improved?

Teaching Mathematics in Seven Countries

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Author :
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Teaching Mathematics in Seven Countries by : James Hiebert

Download or read book Teaching Mathematics in Seven Countries written by James Hiebert and published by . This book was released on 2003 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying CD-ROM contains video clip examples.

Modeling and Measuring Knowledge and Competencies of Teachers

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Author :
Publisher : Waxmann Verlag
ISBN 13 : 3830974531
Total Pages : 232 pages
Book Rating : 4.8/5 (39 download)

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Book Synopsis Modeling and Measuring Knowledge and Competencies of Teachers by : Anke Lindmeier

Download or read book Modeling and Measuring Knowledge and Competencies of Teachers written by Anke Lindmeier and published by Waxmann Verlag. This book was released on 2010 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Modelling and Applications

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Author :
Publisher : Springer
ISBN 13 : 3319629689
Total Pages : 620 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 620 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.

Studying Teacher Education

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Author :
Publisher : Routledge
ISBN 13 : 1135184399
Total Pages : 1181 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Studying Teacher Education by : Marilyn Cochran-Smith

Download or read book Studying Teacher Education written by Marilyn Cochran-Smith and published by Routledge. This book was released on 2009-09-10 with total page 1181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published for the American Educational Research Association by Routledge This landmark volume presents the work of the American Educational Research Association's Panel on Research and Teacher Education. It represents a systematic effort to apply a common set of scholarly lenses to a range of important topics in teacher education. The Panel's charge was twofold: *to create for the larger educational research community a thorough, rigorous, and even-handed analysis of the empirical research evidence relevant to major policies and practices in pre-service teacher education in the U.S., and *to propose a research agenda related to teacher education that builds on what is already known and that identifies the research directions that are most promising for the future. Members of the Panel were appointed from various sectors of the educational research community and with different areas of expertise, including teacher education, policy, assessment, research design and methods, liberal arts, multicultural education, and school reform. Building on their diverse perspectives, they ably translated their charge into a series of questions that became the framework for this volume. The questions illuminate many of the issues that have been most contested in past and current discourse about teacher education reform. Studying Teacher Education examines research about the current pool of prospective and entering teachers and about local, institutional, state, and federal preservice teacher education policies and practices. The book includes three general chapters and nine research syntheses. *The AERA Panel on Research and Teacher Education: Context and Goals *Researching Teacher Education in Changing Times: Politics and Paradigms *Teacher Characteristics: Research on the Demographic Profile *Teacher Characteristics: Research on the Indicators of Quality *Research on the Effects of Coursework in the Arts and Sciences and in the Foundations of Education *Research on Methods Courses and Field Experiences *Research on Pedagogical Approaches in Teacher Education *Research on Preparing Teachers for Diverse Populations *Research on Preparing Teachers to Work with Students with Disabilities *Research on Accountability Processes in Teacher Education *Research on Teacher Education Programs *A Research Agenda for Teacher Education Each chapter reviews the empirical literature and proposes a research agenda that builds on and extends what is known about a topic. A chart at the end of each chapter provides summary information for each of the empirical studies synthesized and two reference lists--one for all of the studies reviewed in the chapter and one for additional references used. The volume includes an introductory chapter on the Panel's context and goals, and an accessible Executive Summary of the book as a whole. Studying Teacher Education: The Report of the AERA Panel on Research and Teacher Education is a timely, indispensable reference for all researchers and professionals in the field.

Beyond Constructivism

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Publisher : Routledge
ISBN 13 : 1317438523
Total Pages : 610 pages
Book Rating : 4.3/5 (174 download)

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Book Synopsis Beyond Constructivism by : Richard A. Lesh

Download or read book Beyond Constructivism written by Richard A. Lesh and published by Routledge. This book was released on 2003-05-01 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has two primary goals. On the level of theory development, the book clarifies the nature of an emerging "models and modeling perspective" about teaching, learning, and problem solving in mathematics and science education. On the level of emphasizing practical problems, it clarifies the nature of some of the most important elementary-but-powerful mathematical or scientific understandings and abilities that Americans are likely to need as foundations for success in the present and future technology-based information age. Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching features an innovative Web site housing online appendices for each chapter, designed to supplement the print chapters with digital resources that include example problems, relevant research tools and video clips, as well as transcripts and other samples of students' work: http://tcct.soe.purdue.edu/booksULandULjournals/modelsULandUL modeling/ This is an essential volume for graduate-level courses in mathematics and science education, cognition and learning, and critical and creative thinking, as well as a valuable resource for researchers and practitioners in these areas.

Handbook of Research Design in Mathematics and Science Education

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1135705836
Total Pages : 995 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis Handbook of Research Design in Mathematics and Science Education by : Anthony Edward Kelly

Download or read book Handbook of Research Design in Mathematics and Science Education written by Anthony Edward Kelly and published by Taylor & Francis. This book was released on 2012-10-12 with total page 995 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Research Design in Mathematics and Science Education is based on results from an NSF-supported project (REC 9450510) aimed at clarifying the nature of principles that govern the effective use of emerging new research designs in mathematics and science education. A primary goal is to describe several of the most important types of research designs that: * have been pioneered recently by mathematics and science educators; * have distinctive characteristics when they are used in projects that focus on mathematics and science education; and * have proven to be especially productive for investigating the kinds of complex, interacting, and adapting systems that underlie the development of mathematics or science students and teachers, or for the development, dissemination, and implementation of innovative programs of mathematics or science instruction. The volume emphasizes research designs that are intended to radically increase the relevance of research to practice, often by involving practitioners in the identification and formulation of the problems to be addressed or in other key roles in the research process. Examples of such research designs include teaching experiments, clinical interviews, analyses of videotapes, action research studies, ethnographic observations, software development studies (or curricula development studies, more generally), and computer modeling studies. This book's second goal is to begin discussions about the nature of appropriate and productive criteria for assessing (and increasing) the quality of research proposals, projects, or publications that are based on the preceding kind of research designs. A final objective is to describe such guidelines in forms that will be useful to graduate students and others who are novices to the fields of mathematics or science education research. The NSF-supported project from which this book developed involved a series of mini conferences in which leading researchers in mathematics and science education developed detailed specifications for the book, and planned and revised chapters to be included. Chapters were also field tested and revised during a series of doctoral research seminars that were sponsored by the University of Wisconsin's OERI-supported National Center for Improving Student Learning and Achievement in Mathematics and Science. In these seminars, computer-based videoconferencing and www-based discussion groups were used to create interactions in which authors of potential chapters served as "guest discussion leaders" responding to questions and comments from doctoral students and faculty members representing more than a dozen leading research universities throughout the USA and abroad. A Web site with additional resource materials related to this book can be found at http://www.soe.purdue.edu/smsc/lesh/ This internet site includes directions for enrolling in seminars, participating in ongoing discussion groups, and submitting or downloading resources which range from videotapes and transcripts, to assessment instruments or theory-based software, to publications or data samples related to the research designs being discussed.

Second Handbook of Research on Mathematics Teaching and Learning

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Author :
Publisher : IAP
ISBN 13 : 160752709X
Total Pages : 1380 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Second Handbook of Research on Mathematics Teaching and Learning by : Frank K. Lester

Download or read book Second Handbook of Research on Mathematics Teaching and Learning written by Frank K. Lester and published by IAP. This book was released on 2007-02-01 with total page 1380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.

Studies on the educational quality of schools

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Author :
Publisher : Waxmann Verlag
ISBN 13 : 9783830968634
Total Pages : 340 pages
Book Rating : 4.9/5 (686 download)

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Book Synopsis Studies on the educational quality of schools by : Manfred Prenzel

Download or read book Studies on the educational quality of schools written by Manfred Prenzel and published by Waxmann Verlag. This book was released on with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The priority program 'The educational quality of schools' has been established seven years ago by the German Research Foundation (DFG). The projects in this program investigated conditions inside and outside of school and their impact on the development of mathematical, scientific, and cross-curricular competencies. In this book major findings of the program are presented. The projects not only give an overview of their research questioning methods and findings, but also of approaches and materials that have been developed to support learning and teaching in mathematics and science class rooms. The studies reported here identify factors for weaknesses in the educational outcomes that became apparent in the international comparisons like TIMSS and PISA. The projects, however, provide empirically substantiated units on approaches that can help to improve the educational quality of schools. [Publisher, ed].

Teaching Mathematical Modelling: Connecting to Research and Practice

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9400765401
Total Pages : 612 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 612 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.​

Encyclopedia of Mathematics Education

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Author :
Publisher : Springer
ISBN 13 : 9783030157883
Total Pages : 916 pages
Book Rating : 4.1/5 (578 download)

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Book Synopsis Encyclopedia of Mathematics Education by : Stephen Lerman

Download or read book Encyclopedia of Mathematics Education written by Stephen Lerman and published by Springer. This book was released on 2020-02-07 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematics Education is a comprehensive reference text, covering every topic in the field with entries ranging from short descriptions to much longer pieces where the topic warrants more elaboration. The entries provide access to theories and to research in the area and refer to the leading publications for further reading. The Encyclopedia is aimed at graduate students, researchers, curriculum developers, policy makers, and others with interests in the field of mathematics education. It is planned to be 700 pages in length in its hard copy form but the text will subsequently be up-dated and developed on-line in a way that retains the integrity of the ideas, the responsibility for which will be in the hands of the Editor-in-Chief and the Editorial Board. This second edition will include additional entries on: new ideas in the politics of mathematics education, working with minority students, mathematics and art, other cross-disciplinary studies, studies in emotions and mathematics, new frameworks for analysis of mathematics classrooms, and using simulations in mathematics teacher education. Existing entries will be revised and new entries written. Members of the international mathematics education research community will be invited to propose new entries. Editorial Board: Bharath Sriraman Melony Graven Yoshinori Shimizu Ruhama Even Michele Artigue Eva Jablonka Wish to Become an Author? Springer's Encyclopedia of Mathematics Education's first edition was published in 2014. The Encyclopedia is a "living" project and will continue to accept articles online as part of an eventual second edition. Articles will be peer-reviewed in a timely manner and, if found acceptable, will be immediately published online. Suggested articles are, of course, welcome. Feel encouraged to think about additional topics that we overlooked the first time around, and to suggest colleagues (including yourself!) who will want to write them. Interested new authors should contact the editor in chief, Stephen Lerman, at [email protected], for more specific instructions.

Modelling and Applications in Mathematics Education

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Author :
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.