Perspectives on the Teaching of Geometry for the 21st Century

Perspectives on the Teaching of Geometry for the 21st Century
Author :
Publisher : Springer Science & Business Media
Total Pages : 353
Release :
ISBN-10 : 9789401152266
ISBN-13 : 9401152268
Rating : 4/5 (66 Downloads)

Synopsis Perspectives on the Teaching of Geometry for the 21st Century by : C. Mammana

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.

Proceedings of the 13th International Congress on Mathematical Education

Proceedings of the 13th International Congress on Mathematical Education
Author :
Publisher : Springer
Total Pages : 735
Release :
ISBN-10 : 9783319625973
ISBN-13 : 3319625977
Rating : 4/5 (73 Downloads)

Synopsis Proceedings of the 13th International Congress on Mathematical Education by : Gabriele Kaiser

This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.

The Learning and Teaching of Geometry in Secondary Schools

The Learning and Teaching of Geometry in Secondary Schools
Author :
Publisher : Taylor & Francis
Total Pages : 240
Release :
ISBN-10 : 9781351973533
ISBN-13 : 1351973533
Rating : 4/5 (33 Downloads)

Synopsis The Learning and Teaching of Geometry in Secondary Schools by : Pat Herbst

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.

Special Issues in Early Childhood Mathematics Education Research

Special Issues in Early Childhood Mathematics Education Research
Author :
Publisher : BRILL
Total Pages : 323
Release :
ISBN-10 : 9789004510685
ISBN-13 : 9004510680
Rating : 4/5 (85 Downloads)

Synopsis Special Issues in Early Childhood Mathematics Education Research by :

In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood.

The Learning and Teaching of Geometry in Secondary Schools

The Learning and Teaching of Geometry in Secondary Schools
Author :
Publisher : Routledge
Total Pages : 405
Release :
ISBN-10 : 9781351973526
ISBN-13 : 1351973525
Rating : 4/5 (26 Downloads)

Synopsis The Learning and Teaching of Geometry in Secondary Schools by : Pat Herbst

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.

The Proceedings of the 12th International Congress on Mathematical Education

The Proceedings of the 12th International Congress on Mathematical Education
Author :
Publisher : Springer
Total Pages : 617
Release :
ISBN-10 : 9783319126883
ISBN-13 : 3319126881
Rating : 4/5 (83 Downloads)

Synopsis The Proceedings of the 12th International Congress on Mathematical Education by : Sung Je Cho

This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.

Aspects of Teaching Secondary Mathematics

Aspects of Teaching Secondary Mathematics
Author :
Publisher : Routledge
Total Pages : 401
Release :
ISBN-10 : 9781134500956
ISBN-13 : 1134500955
Rating : 4/5 (56 Downloads)

Synopsis Aspects of Teaching Secondary Mathematics by : Linda Haggarty

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.

The History of the Geometry Curriculum in the United States

The History of the Geometry Curriculum in the United States
Author :
Publisher : IAP
Total Pages : 114
Release :
ISBN-10 : 9781607527305
ISBN-13 : 1607527308
Rating : 4/5 (05 Downloads)

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

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.

Mathematics Professional Development

Mathematics Professional Development
Author :
Publisher : Teachers College Press
Total Pages : 161
Release :
ISBN-10 : 9780807756553
ISBN-13 : 0807756555
Rating : 4/5 (53 Downloads)

Synopsis Mathematics Professional Development by : Hilda Borko

This resource will help school leaders and other professional development providers conduct ongoing, structured learning opportunities for mathematics teachers (K-12). The authors present models for professional development and the preparation of PD leaders designed and field-tested as part of two research projects supported by the National Science Foundation. The Problem-Solving Cycle model and the Mathematics Leadership Preparation model focus on topics of primary interest to mathematics teachers - mathematics content, classroom instruction, and student learning. They are intentionally designed so that they can be tailored to meet the needs and interests of participating teachers and schools. Through engaging vignettes, the authors describe the models, summarize key research findings, and share lessons learned. The book also includes detailed examples of workshop activities for both teachers and PD leaders.

Preschool Geometry

Preschool Geometry
Author :
Publisher : Springer Science & Business Media
Total Pages : 134
Release :
ISBN-10 : 9789460916007
ISBN-13 : 9460916007
Rating : 4/5 (07 Downloads)

Synopsis Preschool Geometry by : Esther Levenson

Recently the issue of early childhood mathematics has come to the fore and with it the importance of teaching geometrical concepts and reasoning from a young age. Geometry is a key domain mentioned in many national curricula and may also support the learning of other mathematical topics, such as number and patterns. This book is based on the rich experience (research and practice) of the authors and is devoted entirely to the learning and teaching of geometry in preschool. The first part of the book is dedicated to children’s geometrical thinking, building concept images in line with concept definitions, and the dilemmas that arise in the process. The second part focuses on geometrical tasks and their role in developing and assessing geometrical reasoning. The third part focuses on teaching geometry to young children. Each of the three parts is structured in a similar manner, beginning with general theory and research, continuing with specific examples related to those theories, and moving on to elements of actual practice. Written in a meaningful, yet enjoyable manner, any person who has an interest in the mathematics education of preschool children, be it parents, caregivers, teachers, teacher educators, and researchers, will find this book relevant.