Perspectives On The Teaching Of Geometry For The 21st Century

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Perspectives on the Teaching of Geometry for the 21st Century

C. Mammana,V. Villani
Perspectives on the Teaching of Geometry for the 21st Century Book PDF

Author : C. Mammana,V. Villani
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Education
ISBN : 9789401152266

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Perspectives on the Teaching of Geometry for the 21st Century by C. Mammana,V. Villani Pdf

In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science. Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice. This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.

International Perspectives on the Teaching and Learning of Geometry in Secondary Schools

Patricio Herbst,Ui Hock Cheah,Philippe R. Richard,Keith Jones
International Perspectives on the Teaching and Learning of Geometry in Secondary Schools Book PDF

Author : Patricio Herbst,Ui Hock Cheah,Philippe R. Richard,Keith Jones
Publisher : Springer
Page : 386 pages
File Size : 45,6 Mb
Release : 2018-04-27
Category : Education
ISBN : 9783319774763

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International Perspectives on the Teaching and Learning of Geometry in Secondary Schools by Patricio Herbst,Ui Hock Cheah,Philippe R. Richard,Keith Jones Pdf

This book presents current perspectives on theoretical and empirical issues related to the teaching and learning of geometry at secondary schools. It contains chapters contributing to three main areas. A first set of chapters examines mathematical, epistemological, and curricular perspectives. A second set of chapters presents studies on geometry instruction and teacher knowledge, and a third set of chapters offers studies on geometry thinking and learning. Specific research topics addressed also include teaching practice, learning trajectories, learning difficulties, technological resources, instructional design, assessments, textbook analyses, and teacher education in geometry. Geometry remains an essential and critical topic in school mathematics. As they learn geometry, students develop essential mathematical thinking and visualization skills and learn a language that helps them relate to and interact with the physical world. Geometry has traditionally been included as a subject of study in secondary mathematics curricula, but it has also featured as a resource in out-of-school problem solving, and has been connected to various human activities such as sports, games, and artwork. Furthermore, geometry often plays a role in teacher preparation, undergraduate mathematics, and at the workplace. New technologies, including dynamic geometry software, computer-assisted design software, and geometric positioning systems, have provided more resources for teachers to design environments and tasks in which students can learn and use geometry. In this context, research on the teaching and learning of geometry will continue to be a key element on the research agendas of mathematics educators, as researchers continue to look for ways to enhance student learning and to understand student thinking and teachers’ decision making.

The Learning and Teaching of Geometry in Secondary Schools

Pat Herbst,Taro Fujita,Stefan Halverscheid,Michael Weiss
The Learning and Teaching of Geometry in Secondary Schools Book PDF

Author : Pat Herbst,Taro Fujita,Stefan Halverscheid,Michael Weiss
Publisher : Taylor & Francis
Page : 240 pages
File Size : 49,9 Mb
Release : 2017-03-16
Category : Education
ISBN : 9781351973533

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The Learning and Teaching of Geometry in Secondary Schools by Pat Herbst,Taro Fujita,Stefan Halverscheid,Michael Weiss Pdf

IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Geometry in Secondary Schools reviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction. Areas covered include: teaching and learning secondary geometry through history; the representations of geometric figures; students’ cognition in geometry; teacher knowledge, practice and, beliefs; teaching strategies, instructional improvement, and classroom interventions; research designs and problems for secondary geometry. Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students’ study of geometry in secondary schools.

Volume 2: Cases and Perspectives

M. Kathleen Heid,Glendon W. Blume
Volume 2 Cases and Perspectives Book PDF

Author : M. Kathleen Heid,Glendon W. Blume
Publisher : IAP
Page : 485 pages
File Size : 48,7 Mb
Release : 2008-07-01
Category : Mathematics
ISBN : 9781607529538

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Volume 2: Cases and Perspectives by M. Kathleen Heid,Glendon W. Blume Pdf

(Published in Co-operation with the National Council of Teacher of Mathematics) According to NCTM's Principles and Standards for School Mathematics, "Technology is essential in teaching and learning of mathematics; it influences the mathematics that is taught and it enhances students' learning." How does research inform this clarion call for technology in mathematics teaching and learning? In response to the need to craft appropriate roles for technology in school mathematics new technological approaches have been applied to the teaching and learning of mathematics, and these approaches have been examined by researchers world-wide. The second volume has a dual focus: cases and perspectives. It features descriptive cases that provide accounts of the development of technology-intensive curriculum and tools. In these cases the writers describe and analyze various roles that research played in their development work and ways in which research, curriculum development, and tool development can inform each other. These thoughtful descriptions and analyses provide documentation of how this process can and does occur. The remaining chapters in the second volume address research related issues and perspectives on the use of technology in the teaching and learning of mathematics. The lessons learned from the research presented in these volumes are lessons about teaching and learning that can be applied more broadly than solely in technological settings.

Aspects of Teaching Secondary Mathematics

Linda Haggarty
Aspects of Teaching Secondary Mathematics Book PDF

Author : Linda Haggarty
Publisher : Routledge
Page : 401 pages
File Size : 53,5 Mb
Release : 2003-09-02
Category : Education
ISBN : 9781134500956

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Aspects of Teaching Secondary Mathematics by Linda Haggarty Pdf

If learners in the classroom are to be excited by mathematics, teachers need to be both well informed about current initiatives and able to see how what is expected of them can be translated into rich and stimulating classroom strategies. The book examines current initiatives that affect teaching mathematics and identifies pointers for action in the classroom. Divided into three major sections, it looks at: the changing mathematics classroom at primary, secondary and tertiary level major components of the secondary curriculum practical pedagogical issues of particular concern to mathematics teachers. Each issue is explores in terms of major underpinnings and research in that area, and practical ideas can be drawn from the text and implemented in the reader's classroom practice. Each chapter has been written by a well-respected writer, researcher and practitioner in their field and all share a common goal: to look thoughtfully and intelligently at some of the practical issues facing mathematics teachers and offer their perspectives on those issues.

Cases on Inquiry through Instructional Technology in Math and Science

Lennex, Lesia
Cases on Inquiry through Instructional Technology in Math and Science Book PDF

Author : Lennex, Lesia
Publisher : IGI Global
Page : 697 pages
File Size : 50,7 Mb
Release : 2012-01-31
Category : Education
ISBN : 9781466600690

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Cases on Inquiry through Instructional Technology in Math and Science by Lennex, Lesia Pdf

There exists a wealth of information about inquiry and about science, technology, engineering, and mathematics (STEM), but current research lacks meaningfully written, thoughtful applications of both topics.Cases on Inquiry through Instructional Technology in Math and Science represents the work of many authors toward meaningful discourse of inquiry used in STEM teaching. This book presents insightful information to teachers and teacher education candidates about using inquiry in the real classroom, case studies from which research suggests appropriate uses, and tangible direction for creating their own inquiry based STEM activities. Sections take the reader logically through the meaning of inquiry in STEM teaching, how to use technology in modern classrooms, STEM projects which successfully integrate inquiry methodology, and inquiry problem solving within STEM classrooms with the aim of creating activities and models useful for real-world classrooms.

Handbook of Research on the Psychology of Mathematics Education

Angel Gutiérrez,Paolo Boero
Handbook of Research on the Psychology of Mathematics Education Book PDF

Author : Angel Gutiérrez,Paolo Boero
Publisher : Sense Publishers
Page : 538 pages
File Size : 55,9 Mb
Release : 2006
Category : Education
ISBN : 9789077874196

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Handbook of Research on the Psychology of Mathematics Education by Angel Gutiérrez,Paolo Boero Pdf

Compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation in 1976. The first three sections summarize cognitively-oriented research on learning and teaching specific content areas, transversal areas, and based on technology-rich environments. The fourth section is devoted to the research on social, affective, cultural and cognitive aspects of mathematics education. The fifth section includes two chapters summarizing the PME research on teacher training and professional life of mathematics teachers.

Second Handbook of Research on Mathematics Teaching and Learning

Frank K. Lester
Second Handbook of Research on Mathematics Teaching and Learning Book PDF

Author : Frank K. Lester
Publisher : IAP
Page : 725 pages
File Size : 50,6 Mb
Release : 2007-02-01
Category : Education
ISBN : 9781607527091

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Second Handbook of Research on Mathematics Teaching and Learning by Frank K. Lester Pdf

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.

The Greenwood Dictionary of Education

Bloomsbury Publishing
The Greenwood Dictionary of Education Book PDF

Author : Bloomsbury Publishing
Publisher : Bloomsbury Publishing USA
Page : 598 pages
File Size : 49,8 Mb
Release : 2011-07-19
Category : Education
ISBN : 9780313379314

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The Greenwood Dictionary of Education by Bloomsbury Publishing Pdf

This book defines over 3,000 terms from the field of education to assist those charged with teaching students to become global citizens in a rapidly changing, technological society. John W. Collins and Nancy Patricia O'Brien, coeditors of the first edition of The Greenwood Dictionary of Education published in 2003, have acknowledged and addressed these shifts. This revised second edition supplements the extensive content of the first through greater focus on subjects such as neurosciences in educational behavior, gaming strategies as a learning technique, social networking, and distance education. Terms have been revised, where necessary, to represent changes in educational practice and theory. The Dictionary's focus is on current and evolving terminology specific to the broad field of education, although terms from closely related fields used in the context of education are also included. Encompassing the history of education as well as its future trends, the updated second edition will aid in the understanding and use of terms as they apply to contemporary educational research, practice, and theory.

Teaching and Learning Geometry

Doug French
Teaching and Learning Geometry Book PDF

Author : Doug French
Publisher : A&C Black
Page : 176 pages
File Size : 41,8 Mb
Release : 2004-12-23
Category : Education
ISBN : 9780826473615

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Teaching and Learning Geometry by Doug French Pdf

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 •the role of technology in learning geometry.

Mathematics Instructional Practices in Singapore Secondary Schools

Berinderjeet Kaur,Yew Hoong Leong
Mathematics Instructional Practices in Singapore Secondary Schools Book PDF

Author : Berinderjeet Kaur,Yew Hoong Leong
Publisher : Springer Nature
Page : 348 pages
File Size : 44,8 Mb
Release : 2021-01-06
Category : Education
ISBN : 9789811589560

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Mathematics Instructional Practices in Singapore Secondary Schools by Berinderjeet Kaur,Yew Hoong Leong Pdf

This book offers a detailed look into the how and what of mathematics instruction in Singapore. It presents multiple aspects of mathematics instruction in schools, ranging from the unique instructional core, practices that promote mastery, development of conceptual knowledge through learning experiences, nurturing of positive attitudes, self-regulation of learning and development and use of instructional materials for making connections across mathematical ideas, developing mathematical reasoning, and developing fluency in applying mathematical knowledge in problem solving.The book presents a methodology that is successful in documenting classroom instruction in a comprehensive manner. The research findings illuminate instruction methods that are culturally situated, robust and proven to impact student learning. It demonstrates how a unique data source can be analysed through multiple lenses and provides readers with a rich portrait of how the school mathematics instruction is enacted in Singapore secondary schools.

The History of the Geometry Curriculum in the United States

Nathalie Sinclair
The History of the Geometry Curriculum in the United States Book PDF

Author : Nathalie Sinclair
Publisher : IAP
Page : 117 pages
File Size : 43,6 Mb
Release : 2008-02-01
Category : Education
ISBN : 9781607527305

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The History of the Geometry Curriculum in the United States by Nathalie Sinclair Pdf

This volume investigates the evolution of the geometry curriculum in the United States over the past 150 years. A primary goal is to increase awareness of the shape and nature of the current geometry curriculum by explaining how things have come to be as they are. Given the limited access to first-hand accounts of the enacted geometry curriculum during the past 150 years, the monograph relies on textbooks to provide a record of the implemented curriculum at any given point in time. Policy documents can provide insight into the choices made in textbooks by hinting at the issues considered and the recommendations made. The monograph is organized in a chronological sequence of "notable events" leading to discernable changes in thinking about the geometry curriculum over the past century and a half—roughly the extent of time during which geometry has been taught in American schools. Notable events include important reports or commissions, influential texts, new schools of thought, and developments in learning technologies. These events affected, among other things: content and aims of the geometry curriculum; the nature of mathematical activity as construed by both mathematicians and mathematics educators; and, the resources students are given for engaging in mathematical activity. Before embarking through the notable events, it is necessary to consider the "big bang" of geometry, namely the moment in time that shaped the future life of the geometry curriculum. This corresponds to the emergence of Euclidean geometry. Given its influence on the shape of the geometry curriculum, familiarity with the nature of the geometry articulated in Euclid’s Elements is essential to understanding the many tensions that surround the school geometry curriculum. Several themes emerge over the course of the monograph, and include: the aims and means of the geometry curriculum, the importance of proof in geometry, the role of visualization and tactile experiences, the fusion between solid and plane geometry, the curricular connections between geometry and algebra, and the use of motion and continuity. The intended audience would include curriculum developers, researchers, teachers, and curriculum supervisors.

Teaching Secondary School Mathematics

Merrilyn Goos,Gloria Stillman,Sandra Herbert,Vince Geiger
Teaching Secondary School Mathematics Book PDF

Author : Merrilyn Goos,Gloria Stillman,Sandra Herbert,Vince Geiger
Publisher : Routledge
Page : 555 pages
File Size : 52,8 Mb
Release : 2020-07-16
Category : Education
ISBN : 9781000251623

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Teaching Secondary School Mathematics by Merrilyn Goos,Gloria Stillman,Sandra Herbert,Vince Geiger Pdf

Since its first publication, Teaching Secondary School Mathematics has established itself as one of the most respected and popular texts for both pre-service and in-service teachers. This new edition has been fully revised and updated to reflect the major changes brought about by the introduction of the Australian Curriculum: Mathematics, as well as discussing significant research findings, the evolution of digital teaching and learning technologies, and the implications of changes in education policies and practices. The mathematical proficiencies that now underpin the Australian curriculum -- understanding, fluency, problem solving and reasoning -- are covered in depth in Part 1, and a new section is devoted to the concept of numeracy. The chapter on digital tools and resources has been significantly expanded to reflect the growing use of these technologies in the classroom, while the importance of assessment is recognised with new material on assessment for learning and as learning, along with a consideration of policy development in this area. Important research findings on common student misconceptions and new and effective approaches for teaching key mathematical skills are covered in detail. As per the first edition readers will find a practical guide to pedagogical approaches and the planning and enactment of lessons together with enhanced chapters on teaching effectively for diversity, managing issues of inequality and developing effective relationships with parents and the community. This book is the essential pedagogical tool for every emerging teacher of secondary school mathematics. 'The text offers an excellent resource for all of those involved in the preparation of secondary mathematics teachers, with links to research literature, exemplars of classroom practices, and instructional activities that encourage readers to actively examine and critique practices within their own educational settings.' Professor Glenda Anthony, Institute of Education, Massey University 'A rich and engaging textbook that covers all of the important aspects of learning to become an effective secondary mathematics teacher. The second edition of this text ... is further enhanced with updated references to the Australian Curriculum, NAPLAN, STEM, current Indigenous, social justice and gender inequity issues, and the place of Australian mathematics curricula on the world stage.' Dr Christine Ormond, Senior Lecturer, Edith Cowan University

Mathematics Education and Technology-Rethinking the Terrain

Celia Hoyles,Jean-Baptiste Lagrange
Mathematics Education and Technology Rethinking the Terrain Book PDF

Author : Celia Hoyles,Jean-Baptiste Lagrange
Publisher : Springer Science & Business Media
Page : 489 pages
File Size : 44,6 Mb
Release : 2009-10-09
Category : Education
ISBN : 9781441901460

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Mathematics Education and Technology-Rethinking the Terrain by Celia Hoyles,Jean-Baptiste Lagrange Pdf

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.

Proceedings of the Ninth International Congress on Mathematical Education

Hiroshi Fujita,Yoshihiko Hashimoto,Bernard R. Hodgson,Peng Yee Lee,Steve Lerman,Toshio Sawada
Proceedings of the Ninth International Congress on Mathematical Education Book PDF

Author : Hiroshi Fujita,Yoshihiko Hashimoto,Bernard R. Hodgson,Peng Yee Lee,Steve Lerman,Toshio Sawada
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 48,8 Mb
Release : 2007-05-08
Category : Mathematics
ISBN : 9781402079108

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Proceedings of the Ninth International Congress on Mathematical Education by Hiroshi Fujita,Yoshihiko Hashimoto,Bernard R. Hodgson,Peng Yee Lee,Steve Lerman,Toshio Sawada Pdf

Mathematics as a discipline has a long history, emerging from many cultures, with a truly universal character. Mathematicians throughout the world have a fundamentally common understanding of the nature of mathematics and of its central problems and methods. Research mathematicians in any part of the world are part of a cohesive intellectual community that communicates fluently. Among organizations devoted to mathematics education, The International Commission on Mathematical Instruction (ICMI) is distinctive because of its close ties to the mathematics community. The great challenges now facing mathematics education around the world demand a deeper and more sensitive involvement of disciplinary mathematicians than we now have, both in the work of educational improvements and in research on the nature of teaching and learning.