Teaching and Learning Geometry

Author: Doug French

Publisher: A&C Black

ISBN: 0826473628

Category: Education

Page: 169

View: 5447

This fascinating title reviews the teaching and learning of school geometry from the perspective of both the new teacher and the more experienced teacher. It is designed to extend and deepen subject knowledge and to offer practical advice and ideas for the classroom in the context of current practice and research. Particular emphasis is given to the following elements: Understanding the key ideas of the geometry curriculum. Learning geometry effectively: lessons from research and current practice. Misconceptions and errors. Geometry reasoning: problem solving and proving. The role of technology in learning geometry.

K-12 Mathematics Education In Israel: Issues And Innovations

Author: Movshovitz-hadar Nitsa

Publisher: World Scientific

ISBN: 9813231203

Category: Mathematics

Page: 460

View: 723

The book provides the reader with a multifaceted picture of mathematics education in Israel, put into an international perspective where relevant. It is intended to give an overview of a wide range of topics covering issues such as raising and maintaining motivation, search for excellence, treatment of difficulties, teacher education, language issues, minorities issues, curriculum changes over the first 70 years of the state of Israel, and many more. This includes aspects of research and practice into the teaching and learning of mathematics, innovation, developments, policy, achievements, and implementation with some international comparison as well. Contents: Issues and Innovations Related to the Structure of Mathematics Education in Israel: Highlights in the Development of Education and Mathematics Education in the State of Israel: A Timeline (Michael N Fried, Hannah Perl and Abraham Arcavi) How Did a Crisis in Mathematics Education Lead to a Positive Reform? (Muhana Fares) A Start-Up Nation at Risk: Israel's Quest for Excellence (Eli Hurvitz) Supervision of Mathematics Teaching by the Ministry of Education (Hannah Perl, Dorit Neria, Ruth Segal and Niza Sion) Mathematics Education in Israeli Religious High-Schools (Thierry (Noah) Dana-Picard and Sara Hershkovitz) Excellence in Mathematics in the Ultra-Orthodox Community: Fantasy or Reality? (Reuven Gal, Yehuda Morgenstern and Yael Elimelech) Mathematics Education in the Arabic-Speaking Sectors in Israel (Shaker A Rasslan and Amal Sharif-Rasslan) Issues and Innovations Related to Mathematics Education at Preschool and Primary School (Grades K-6) in Israel: New Developments and Trends in Preschool Mathematics Education in Israel (Ornit Spektor-Levy and Taly Shechter) Origametria — Paper Folding for Teaching Geometry in Preschool and Primary School (John Oberman) Educating the Eye: The Agam Program for Visual Thinking (Rina Hershkowitz, Zvia Markovits, Sherman Rosenfeld, Lea Ilani and Bat-Sheva Eylon) Professional Development for Preschool Teachers: The CAMTE Framework and Repeating Patterns (Dina Tirosh, Pessia Tsamir, Esther Levenson and Ruthi Barkai) Time to Know — A Socio-constructivist Initiative to Integrate Computers in the Teaching and Learning of Primary Mathematics (Dovi Weiss and Tali Wallach) Issues and Innovations Related to Mathematics Education at Middle and High School (Grades 7–12) in Israel: Exhausting Students' Potential in Mathematics: A Comprehensive Approach to Promoting Both Struggling and Promising Students (Orit Zaslavsky, Liora Linchevski, Noga Hermon, Drora Livneh and Iris Zodik) Middle School Mathematics Curriculum Based on the Power of Open Technological Tools: The Case of CompuMath Project (Rina Hershkowitz and Michal Tabach) Mathematics at the Virtual School: Why? Why not? Who? What? And So What? (Yaniv Biton, Osnat Fellus, Dafna Raviv, David Feilchenfeld and Boris Koichu) Nurturing Students with High Mathematical Potential (Abraham (Avi) Berman and Roza Leikin) The Bar-Ilan University — ICAMS Program for the Advancement of Mathematically Talented Youth (Zvi Arad and Elisheva (Gerstein) Fridman) Mathematical Excellence: The Mofet Way (Tamara Avissar-Zeldis) The Advancement of Mathematics Studies in the ORT Israel Educational Network — Policy and Implementation (Lea Dolev and Eli Eisenberg) Promoting Advanced-Level Mathematics in Diverse Populations in the Amal Educational Network (Ronit Ashkenazy and Anna Vaknin) Problem-Solving Forums on Social Networks that Accompany

Research on Mathematics Textbooks and Teachers’ Resources

Advances and Issues

Author: Lianghuo Fan,Luc Trouche,Chunxia Qi,Sebastian Rezat,Jana Visnovska

Publisher: Springer

ISBN: 3319732536

Category: Education

Page: 377

View: 5398

This book focuses on issues related to mathematics teaching and learning resources, including mathematics textbooks, teacher guides, student learning and assessment materials, and online resources. The book highlights various theoretical and methodological approaches used to study teaching and learning resources, and addresses the areas of resources, teachers, and students at an international level. As for the resources, the book examines the role textbooks and other curricular or learning resources play in mathematics teaching, learning, and assessment. It asks questions such as: Could we consider different types of textbooks and roles they play in teaching and learning? How does the digitalization of information and communication affect these roles? What are defining features of e-textbooks, and how could we characterize the differences between the traditional textbooks and e-textbooks? As for the teachers, the book discusses the relationships between teachers’ individual and collective resources, and the way in which we could model such relationships. Specific questions addressed are: What is the role of teachers in developing textbooks and other teaching and learning materials? What are the relationships between resource designers and users? What are the consequences of these changing roles and relationships for the teaching of mathematics, and for teacher knowledge and professional development? As for the students, the book explores how students, as well as their teachers, interact through resources. It raises and addresses questions such as: What are the effects of modern ICT (particularly internet) on students’ use and the design of resources? How do changing patterns of use and design affect student behaviour, learning, and relationships to the subject of mathematics?

Handbook of Research on Mathematics Teaching and Learning

(A Project of the National Council of Teachers of Mathematics)

Author: Douglas Grouws

Publisher: IAP

ISBN: 1607528746

Category: Mathematics

Page: 785

View: 5309

Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of wellestablished conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twentynine chapters are complete resources for both current and past work in that particular area.

Teaching Mathematics in Grades 6 - 12

Developing Research-Based Instructional Practices

Author: Randall E. Groth

Publisher: SAGE

ISBN: 141299568X

Category: Education

Page: 487

View: 2400

Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a “researcher—constantly experimenting with methods for developing students’ mathematical thinking—and connecting this research to practices that enhance students’ understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students’ thinking may develop in response to different teaching strategies.

Mathematics Education and Technology-Rethinking the Terrain

The 17th ICMI Study

Author: Celia Hoyles,Jean-Baptiste Lagrange

Publisher: Springer Science & Business Media

ISBN: 9781441901460

Category: Education

Page: 494

View: 2490

Mathematics Education and Technology-Rethinking the Terrain revisits the important 1985 ICMI Study on the influence of computers and informatics on mathematics and its teaching. The focus of this book, resulting from the seventeenth Study led by ICMI, is the use of digital technologies in mathematics teaching and learning in countries across the world. Specifically, it focuses on cultural diversity and how this diversity impinges on the use of digital technologies in mathematics teaching and learning. Within this focus, themes such as mathematics and mathematical practices; learning and assessing mathematics with and through digital technologies; teachers and teaching; design of learning environments and curricula; implementation of curricula and classroom practice; access, equity and socio-cultural issues; and connectivity and virtual networks for learning, serve to organize the study and bring it coherence. Providing a state-of-the-art view of the domain with regards to research, innovating practices and technological development, Mathematics Education and Technology-Rethinking the Terrain is of interest to researchers and all those interested in the role that digital technology plays in mathematics education.

Designing Learning Environments for Developing Understanding of Geometry and Space

Author: Richard Lehrer,Daniel Chazan

Publisher: Routledge

ISBN: 1136490582

Category: Education

Page: 518

View: 8330

This volume reflects an appreciation of the interactive roles of subject matter, teacher, student, and technologies in designing classrooms that promote understanding of geometry and space. Although these elements of geometry education are mutually constituted, the book is organized to highlight, first, the editors' vision of a general geometry education; second, the development of student thinking in everyday and classroom contexts; and third, the role of technologies. Rather than looking to high school geometry as the locus--and all too often, the apex--of geometric reasoning, the contributors to this volume suggest that reasoning about space can and should be successfully integrated with other forms of mathematics, starting at the elementary level and continuing through high school. Reintegrating spatial reasoning into the mathematical mainstream--indeed, placing it at the core of K-12 mathematics environments that promote learning with understanding--will mean increased attention to problems in modeling, structure, and design and reinvigoration of traditional topics such as measure, dimension, and form. Further, the editors' position is that the teaching of geometry and spatial visualization in school should not be compressed into a characterization of Greek geometry, but should include attention to contributions to the mathematics of space that developed subsequent to those of the Greeks. This volume is essential reading for those involved in mathematics education at all levels, including university faculty, researchers, and graduate students.

Transforming Children's Mathematics Education

International Perspectives

Author: Leslie P. Steffe,Terry Wood

Publisher: Routledge

ISBN: 1136468773

Category: Education

Page: 512

View: 5447

Eminent scholars from around the globe gathered to discuss how educational systems would change if the prevailing principles of constructivism were applied to three major aspects of those systems -- knowledge and learning, communication, and environment. This volume provides documentation of the proceedings of this important meeting - - the Early Childhood Action Group of the Sixth International Congress on Mathematics Education. This international assembly, representing such diverse disciplines as mathematics and math education, epistemology, philosophy, cognitive science, psycholinguistics, and science education, is the first to examine early childhood mathematics education from constructivist and international perspectives in addition to formulating recommendations for future work in the field.

The Teaching and Learning of Mathematics at University Level

An ICMI Study

Author: Derek Holton

Publisher: Springer Science & Business Media

ISBN: 0306472317

Category: Education

Page: 562

View: 1064

This is a text that contains the latest in thinking and the best in practice. It provides a state-of-the-art statement on tertiary teaching from a multi-perspective standpoint. No previous book has attempted to take such a wide view of the topic. The book will be of special interest to academic mathematicians, mathematics educators, and educational researchers. It arose from the ICMI Study into the teaching and learning of mathematics at university level (initiated at the conference in Singapore, 1998).

Critical Issues in Mathematics Education

Major Contributions of Alan Bishop

Author: Philip Clarkson,Norma C. Presmeg

Publisher: Springer Science & Business Media

ISBN: 0387096736

Category: Education

Page: 258

View: 5777

Critical Issues in Mathematics Education presents the significant contributions of Professor Alan Bishop within the mathematics education research community. Six critical issues, each of which have had paramount importance in the development of mathematics education research, are reviewed and include a discussion of current developments in each area. Teacher decision making, spatial/visualizing geometry, teachers and research, cultural/social aspects of mathematics education, sociopolitical issues, and values serve as the basic issues discussed in this examination of mathematics education over the last fifty years during which Professor Bishop has been active in the field. A comprehensive discussion of each of these topics is realized by offering the reader a classic research contribution of Professor Bishop’s together with commentary and invited chapters from leading experts in the field of mathematics education. Critical Issues in Mathematics Education will make an invaluable contribution to the ongoing reflection of mathematic education researchers worldwide, but also to policy makers and teacher educators who wish to understand some of the key issues with which mathematics education has been and still is concerned, and the context within which Professor Bishop’s key contributions to these research issues were made.

The Preparation of Teachers of Mathematics

Considerations and Challenges: A Letter Report

Author: Center for Science, Mathematics, and Engineering Education

Publisher: National Academies Press

ISBN: 030958681X

Category: Education

Page: 18

View: 9617

Creativity and Technology in Mathematics Education

Author: Viktor Freiman,Janet Lynne Tassell

Publisher: Springer

ISBN: 3319723812

Category: Education

Page: 528

View: 6041

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.

Intelligent Learning Environments: The Case of Geometry

The Case of Geometry

Author: Jean-Marie Laborde

Publisher: Springer Science & Business Media

ISBN: 9783540568070

Category: Computers

Page: 267

View: 1377

Proceedings originating from the NATO Advanced Research Workshop on Intelligent Learning Environments: the Case of Geometry, held in Grenoble, France, November 13-16, 1989

Learning Mathematics

Issues, Theory and Classroom Practice

Author: Anthony Orton

Publisher: A&C Black

ISBN: 1441140018

Category: Education

Page: 242

View: 8665

• Why do some students achieve more than others? • Do we have to wait until pupils are "ready"? • Can children discover math for themselves? • Does language interfere with the learning of math? This classic text, written from the viewpoint of the math teacher, provides answers to these and many more questions. Each chapter explores a particular issue that illustrates the interaction between theory and practice. New chapters have been included on cognition, pattern, and ICT.

In Search of a Pedagogy of Conflict and Dialogue for Mathematics Education

Author: Renuka Vithal

Publisher: Springer Science & Business Media

ISBN: 9781402015045

Category: Education

Page: 400

View: 7342

In Search of a Pedagogy for Conflict and Dialogue for Mathematics Education is of interest to mathematics educators, researchers in mathematics education, gender, social justice, equity and democracy in education; and practitioners/teachers interested in the use of project work in mathematics teaching and learning. This book brings together diverse recent developments exploring social, cultural political dimensions in mathematics education. It builds theoretical ideas from a careful substantial description of practice, in the attempt to improve both theory and practice in mathematics education. In doing so it interrogates and develops theoretical research tools for mathematics education and simultaneously provides ideas for practice in mathematics classrooms.

Handbook of International Research in Mathematics Education

Author: Lyn D. English

Publisher: Routledge

ISBN: 1135665788

Category: Education

Page: 944

View: 3731

This state-of-the-art Handbook brings together important mathematics education research that makes a difference in both theory and practice--research that: anticipates problems and needed knowledge before they become impediments to progress; interprets future-oriented problems into researchable issues; presents the implications of research and theory development in forms that are useful to practitioners and policymakers; and facilitates the development of research communities to focus on neglected priorities or strategic opportunities. The volume represents a genuine attempt by contributors from around the world to advance the discipline, rather than simply review what has been done and what exists. The Handbook was developed in response to a number of major global catalysts for change, including the impact of national and international mathematics comparative assessment studies; the social, cultural, economic, and political influences on mathematics education and research; the influence of progressively sophisticated and available technology; and the increasing globalization of mathematics education and research. From these catalysts have emerged specific priority themes and issues for mathematics education research in the 21st century. Three key themes were identified for attention in this volume: life-long democratic access to powerful mathematical ideas; advances in research methodologies; and influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development as an important component of all these aspects. Dynamic and forward looking, the Handbook of International Research in Mathematics Education is distinguished by its focus on new and emerging theoretical models, perspectives, and research methodologies; its uniformly high standard of scholarship; and its emphasis on the international nature of mathematics education research. It is an essential volume for all researchers, professionals, and students interested in mathematics education research in particular and, more generally, in international developments and future directions in the broad field of educational research.

Proof and Proving in Mathematics Education

The 19th ICMI Study

Author: Gila Hanna,Michael de Villiers

Publisher: Springer Science & Business Media

ISBN: 9400721293

Category: Education

Page: 476

View: 5822

One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.

History in Mathematics Education

The ICMI Study

Author: John Fauvel,J.A. van Maanen

Publisher: Springer Science & Business Media

ISBN: 0306472201

Category: Education

Page: 437

View: 8216

This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.

Advances in Computer Science, Environment, Ecoinformatics, and Education, Part III

International Conference, CSEE 2011, Wuhan, China, August 21-22, 2011. Proceedings

Author: Sally Lin,Xiong Huang

Publisher: Springer

ISBN: 3642233457

Category: Computers

Page: 624

View: 9835

This 5-volume set (CCIS 214-CCIS 218) constitutes the refereed proceedings of the International Conference on Computer Science, Environment, Ecoinformatics, and Education, CSEE 2011, held in Wuhan, China, in July 2011. The 525 revised full papers presented in the five volumes were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on information security, intelligent information, neural networks, digital library, algorithms, automation, artificial intelligence, bioinformatics, computer networks, computational system, computer vision, computer modelling and simulation, control, databases, data mining, e-learning, e-commerce, e-business, image processing, information systems, knowledge management and knowledge discovering, mulitimedia and its apllication, management and information system, moblie computing, natural computing and computational intelligence, open and innovative education, pattern recognition, parallel and computing, robotics, wireless network, web application, other topics connecting with computer, environment and ecoinformatics, modeling and simulation, environment restoration, environment and energy, information and its influence on environment, computer and ecoinformatics, biotechnology and biofuel, as well as biosensors and bioreactor.