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Symbolizing And Communicating In Mathematics Classrooms


Symbolizing And Communicating In Mathematics Classrooms
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Symbolizing And Communicating In Mathematics Classrooms


Symbolizing And Communicating In Mathematics Classrooms
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Author : Paul Cobb
language : en
Publisher: Routledge
Release Date : 2012-11-12

Symbolizing And Communicating In Mathematics Classrooms written by Paul Cobb and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Education categories.


This volume grew out of a symposium on discourse, tools, and instructional design at Vanderbilt University in 1995 that brought together a small international group to grapple with issues of communicating, symbolizing, modeling, and mathematizing, particularly as these issues relate to learning in the classroom. The participants invited to develop chapters for this book--all internationally recognized scholars in their respective fields--were selected to represent a wide range of theoretical perspectives including mathematics education, cognitive science, sociocultural theory, and discourse theory. The work is distinguished by the caliber of the contributors, the significance of the topics addressed in the current era of reform in mathematics education, and the diversity of perspectives taken to a common set of themes and issues. The book is intended for those who are seeking to expand their understanding of the complexity of learning in order to enhance the learning experiences students have in schools, primarily researchers, instructional designers, and graduate students in mathematics education, as well as those in other fields including science education, instructional design in general, discourse theory, and semiotics.



Symbolizing And Communicating In Mathematics Classrooms


Symbolizing And Communicating In Mathematics Classrooms
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Author : Paul Cobb
language : en
Publisher: Taylor & Francis
Release Date : 2012-11-12

Symbolizing And Communicating In Mathematics Classrooms written by Paul Cobb and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Education categories.


This volume grew out of a symposium on discourse, tools, and instructional design at Vanderbilt University in 1995 that brought together a small international group to grapple with issues of communicating, symbolizing, modeling, and mathematizing, particularly as these issues relate to learning in the classroom. The participants invited to develop chapters for this book--all internationally recognized scholars in their respective fields--were selected to represent a wide range of theoretical perspectives including mathematics education, cognitive science, sociocultural theory, and discourse theory. The work is distinguished by the caliber of the contributors, the significance of the topics addressed in the current era of reform in mathematics education, and the diversity of perspectives taken to a common set of themes and issues. The book is intended for those who are seeking to expand their understanding of the complexity of learning in order to enhance the learning experiences students have in schools, primarily researchers, instructional designers, and graduate students in mathematics education, as well as those in other fields including science education, instructional design in general, discourse theory, and semiotics.



Symbolizing Modeling And Tool Use In Mathematics Education


Symbolizing Modeling And Tool Use In Mathematics Education
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Author : K.P Gravemeijer
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-12-31

Symbolizing Modeling And Tool Use In Mathematics Education written by K.P Gravemeijer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-31 with Education categories.


This book explores the option of building on symbolizing, modeling and tool use as personally meaningful activities of students. It discusses the dimension of setting: varying from the study of informal, spontaneous activity of students, to an explicit focus on instructional design, and goals and effects of instruction; and the dimension of the theoretical framework of the researcher: varying from constructivism, to activity theory, cognitive psychology and instructional-design theory.



Powerful Environments For Promoting Deep Conceptual And Strategic Learning


Powerful Environments For Promoting Deep Conceptual And Strategic Learning
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Author : Lieven Verschaffel
language : en
Publisher: Leuven University Press
Release Date : 2005

Powerful Environments For Promoting Deep Conceptual And Strategic Learning written by Lieven Verschaffel and has been published by Leuven University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Education categories.


Over the past years a substantial amount of research has been undertaken relating to the development of powerful learning environments for the acquisition in students of worthwhile educational objectives focussing on conceptual understanding, higher-order cognitive and metacognitive skills, and self-regulated learning. This research has been mainly undertaken from three distinct, but related perspectives in the study of learning and instruction, namely instructional psychology, instructional technology, and instructional design. Against this background a "research community" involving 14 European research teams has recently been initiated with the aim of interactively contributing to the advancement of theory and methodology relating to the design, implementation, and evaluation of powerful learning environments.This volume, based on the plenary lectures and working sessions during the community's third workshop, constitutes a collective output of this research community, focussing on the identification and analysis of major components and dimensions of powerful learning environments aimed at the promotion of deep conceptual and strategic learning in major domains of school curricula, like mathematics, physics, history, and social sciences.In Part I of the volume three chapters present general perspectives on the central theme of the third workshop. In Part II six studies are reported wherein novel learning environments for elementary and secondary mathematics education have been designed, implemented and evaluated. In Part III of the volume another set of five investigations is presented relating to the design, implementation and evaluation of powerful learning environments in other subject-matter domains (physics, history, social sciences) and in teacher training.



Multilingualism In Mathematics Classrooms


Multilingualism In Mathematics Classrooms
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Author : Richard Barwell
language : en
Publisher: Multilingual Matters
Release Date : 2009-09-15

Multilingualism In Mathematics Classrooms written by Richard Barwell and has been published by Multilingual Matters this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-15 with Education categories.


Mathematics classrooms are increasingly multilingual, whether they are found in linguistically diverse societies, urban melting pots or planned bilingual programs. The chapters in this book present and discuss examples of mathematics classroom life from a range of multilingual classroom settings, and use these examples to draw out and discuss key issues for the teaching and learning of mathematics and language. These issues relate to pedagogy, students’ learning, curriculum, assessment, policy and aspects of educational theory. The contributions are based on research conducted in mathematics classrooms in Europe, South Asia, North America and Australia. Recurring issues for the learning of mathematics include the relationship between language and mathematics, the relationship between formal and informal mathematical language, and the relationship between students’ home languages and the official language of schooling.



Teaching Number In The Classroom With 4 8 Year Olds


Teaching Number In The Classroom With 4 8 Year Olds
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Author : Robert J Wright
language : en
Publisher: SAGE
Release Date : 2006-01-05

Teaching Number In The Classroom With 4 8 Year Olds written by Robert J Wright and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-05 with Education categories.


`At last a book is written by teachers for teachers based on sound research that will generate enquiry based learning. It is essential for every classroom with lots of mathematical activities. These will purposefully engage children and allow for differentiation for those who require additional support to understand the number system and the more able children who require to be challenged. Mathematical standards in our schools will improve tremendously following these instructional activities' - Carole Cannon, Development Officer for Mathematics Recovery 'This book ‘Teaching Number in the Classroom with 4-8 year olds’ is an absolute "must have" for all educators involved in early number. Based on sound theoretical foundations, it offers a wealth of down-to-earth, tried and tested, effective approaches to teaching early number concepts and skills. It is a clearly a book written by teachers for teachers. Every single activity in the book is a nugget. Engaging with these activities will change your whole approach to teaching early number' - Noreen O’Loughlin, Associate Vice-President/Lecturer in Maths Education, Mary Immaculate College, University of Limerick, Ireland. 'The authors prove it is possible to write a teacher friendly/teacher useful mathematics book that connects theory and practice. This book may become the primary teacher's "Math Bible"' - Angela Giglio Andrews, Primary Intervention Specialist and Coordinator, and Assistant Professor of Mathematics Education, National Louis University 'Teaching Number in the Classroom translates years of research into a very understandable and comprehensive approach for teaching children how the number system is structured and how to think like a mathematician. For too many years there has been the perception that children who are struggling with mathematics don't know the basic facts. The reality is that these children lack number knowledge and skills. Teaching Number in the Classroom will guide the educational professional through the steps of understanding the development of "number sense", identifying the current levels of knowledge and providing instruction that helps children use the "framework of mathematics" to solve number problems. Teaching Number in the Classroom is a thinking skills approach to mathematics. Children are taught a variety of strategies for solving mathematical problems. The teacher using this book will be able to help all children develop a strong foundation of mathematical understanding' - Carol Meland, K-3rd Grade Principal for the School District of Milton Wisconsin, USA Teaching Number in the Classroom with 4-8 year olds is an absolute "must-have" for all educators involved in early number. Based on sound theoretical foundations, it offers a wealth of down-to-earth, tried and tested, effective approaches to teaching early number concepts and skills. It is a clearly a book written by teachers for teachers. Every single activity in the book is a nugget. Engaging with these activities will change your whole approach to teaching early number' - Noreen O'Loughlin, Associate Vice-President/Lecturer in Maths Education, Mary Immaculate College, University of Limerick Following the success of their previous bestselling titles, Early Numeracy and Teaching Number, the authors of this brand-new text now bring the principles and practice of their acclaimed Mathematics Recovery Programme to whole-class teaching. Central to the book is the concept of an inquiry-based approach to classroom instruction, and topics covered range from beginning number and early counting strategies to multi-digit addition and subtraction right through to multiplication and division. As world leaders in the field of Mathematics Recovery, this book's authors have drawn on their vast experience to create a user-friendly, practical guide focusing on classroom teaching. With its step-by-step approach, the text can be used as a training manual and course reference by teachers everywhere. Key features which make the book such a valuable tool include: - Real-life examples from classroom work - Teaching activities - Assessment tasks - Guidance on classroom organization and teaching specific topics - Activities for parents to do with children An invaluable resource for experienced mathematics recovery teachers, as well as all primary classroom teachers, from kindergarten level to Year three, this text will also be of use to classroom assistants and learning support personnel. Primary mathematics advisors, numeracy consultants and educational psychologists will also find it helpful.



Mathematical Modelling Education In East And West


Mathematical Modelling Education In East And West
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Author : Frederick Koon Shing Leung
language : en
Publisher: Springer Nature
Release Date : 2021-04-26

Mathematical Modelling Education In East And West written by Frederick Koon Shing Leung and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-26 with Education categories.


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.



Creativity And Technology In Mathematics Education


Creativity And Technology In Mathematics Education
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Author : Viktor Freiman
language : en
Publisher: Springer
Release Date : 2018-09-03

Creativity And Technology In Mathematics Education written by Viktor Freiman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Education categories.


This volume provides new insights on creativity while focusing on innovative methodological approaches in research and practice of integrating technological tools and environments in mathematics teaching and learning. This work is being built on the discussions at the mini-symposium on Creativity and Technology at the International Conference on Mathematical Creativity and Giftedness (ICMCG) in Denver, USA (2014), and other contributions to the topic. The book emphasizes a diversity of views, a variety of contexts, angles and cultures of thought, as well as mathematical and educational practices. The authors of each chapter explore the potential of technology to foster creative and divergent mathematical thinking, problem solving and problem posing, creative use of dynamic, multimodal and interactive software by teachers and learners, as well as other digital media and tools while widening and enriching transdisciplinary and interdisciplinary connections in mathematics classroom. Along with ground-breaking innovative approaches, the book aims to provide researchers and practitioners with new paths for diversification of opportunities for all students to become more creative and innovative mathematics learners. A framework for dynamic learning conditions of leveraging mathematical creativity with technology is an outcome of the book as well.



The Role Of Mathematics Discourse In Producing Leaders Of Discourse


The Role Of Mathematics Discourse In Producing Leaders Of Discourse
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Author : Libby Knott
language : en
Publisher: IAP
Release Date : 2010-01-01

The Role Of Mathematics Discourse In Producing Leaders Of Discourse written by Libby Knott and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Education categories.


The intent of this monograph is to showcase successful implementation of mathematical discourse in the classroom. Some questions that might be addressed are: * How does a teacher begin to learn about using discourse purposefully to improve mathematics teaching and learning? * How is discourse interwoven into professional development content courses to provide teachers with the tools necessary to begin using discourse in their own classrooms? * What does a discourse-rich classroom look like and how is it different from other classrooms, from both the teacher's and the students' perspectives? * How can teachers of pre-service teachers integrate discourse into their content and methods courses? * How can we use discourse research to inform work with teachers, both pre- and in-service, for example, to help them know how to respond to elicited knowledge from students in their classrooms? * What are the discourse challenges in on-line mathematics courses offered for professional development? Can on-line classrooms also be discourse-rich? What would that look like? * In what ways does mathematical discourse differ from discourse in general?



Handbook Of Psychology Educational Psychology


Handbook Of Psychology Educational Psychology
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Author : Irving B. Weiner
language : en
Publisher: John Wiley & Sons
Release Date : 2003

Handbook Of Psychology Educational Psychology written by Irving B. Weiner and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Education categories.


Includes established theories and cutting-edge developments. Presents the work of an international group of experts. Presents the nature, origin, implications, an future course of major unresolved issues in the area.