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Author : Michael D. De Villiers
Publisher :
ISBN 13 : 9781559533232
Total Pages : 208 pages
Book Rating : 4.5/5 (332 download)
Download or read book Rethinking Proof written by Michael D. De Villiers and published by . This book was released on 1999-01-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael D. De Villiers
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (135 download)
Download or read book Rethinking Proof written by Michael D. De Villiers and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael D. De Villiers
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (133 download)
Download or read book Rethinking Proof with Geometer's Sketchpad written by Michael D. De Villiers and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : KEY CURRICULUM
Publisher : McGraw-Hill Education
ISBN 13 : 9781604402797
Total Pages : 224 pages
Book Rating : 4.4/5 (27 download)
Download or read book The Geometer's Sketchpad, Rethinking Proof written by KEY CURRICULUM and published by McGraw-Hill Education. This book was released on 2012-09-01 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: These activities use the power of dynamic geometry to support students in making conjectures, then developing explanations of why they must be true.
Author : Gila Hanna
Publisher : Springer Science & Business Media
ISBN 13 : 9400721293
Total Pages : 468 pages
Book Rating : 4.4/5 (7 download)
Download or read book Proof and Proving in Mathematics Education written by Gila Hanna and published by Springer Science & Business Media. This book was released on 2012-06-14 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* 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.
Author : Celia Hoyles
Publisher : Springer Science & Business Media
ISBN 13 : 1441901469
Total Pages : 489 pages
Book Rating : 4.4/5 (419 download)
Download or read book Mathematics Education and Technology-Rethinking the Terrain written by Celia Hoyles and published by Springer Science & Business Media. This book was released on 2009-10-09 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Andreas J. Stylianides
Publisher : Oxford University Press
ISBN 13 : 0191034738
Total Pages : 256 pages
Book Rating : 4.1/5 (91 download)
Download or read book Proving in the Elementary Mathematics Classroom written by Andreas J. Stylianides and published by Oxford University Press. This book was released on 2016-07-14 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although proving is core to mathematics as a sense-making activity, it currently has a marginal place in elementary classrooms internationally. Blending research with practical perspectives, this book addresses what it would take to elevate the place of proving at elementary school. The book uses classroom episodes from two countries to examine different kinds of proving tasks and the proving activity they can generate in the elementary classroom. It examines further the role of teachers in mediating the relationship between proving tasks and proving activity, including major mathematical and pedagogical issues that arise for teachers as they implement each kind of proving task. In addition to its contribution to research knowledge, the book has important implications for teaching, curricular resources, and teacher education.
Author :
Publisher :
ISBN 13 : 9781559530989
Total Pages : 260 pages
Book Rating : 4.5/5 (39 download)
Download or read book The Geometer's Sketchpad written by and published by . This book was released on 1995 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Doug French
Publisher : A&C Black
ISBN 13 : 0826473628
Total Pages : 176 pages
Book Rating : 4.8/5 (264 download)
Download or read book Teaching and Learning Geometry written by Doug French and published by A&C Black. This book was released on 2004-01-01 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Despina A. Stylianou
Publisher : Routledge
ISBN 13 : 1135856753
Total Pages : 408 pages
Book Rating : 4.1/5 (358 download)
Download or read book Teaching and Learning Proof Across the Grades written by Despina A. Stylianou and published by Routledge. This book was released on 2010-09-23 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Co-Publication of Routledge for the National Council of Teachers of Mathematics (NCTM) In recent years there has been increased interest in the nature and role of proof in mathematics education; with many mathematics educators advocating that proof should be a central part of the mathematics education of students at all grade levels. This important new collection provides that much-needed forum for mathematics educators to articulate a connected K-16 "story" of proof. Such a story includes understanding how the forms of proof, including the nature of argumentation and justification as well as what counts as proof, evolve chronologically and cognitively and how curricula and instruction can support the development of students’ understanding of proof. Collectively these essays inform educators and researchers at different grade levels about the teaching and learning of proof at each level and, thus, help advance the design of further empirical and theoretical work in this area. By building and extending on existing research and by allowing a variety of voices from the field to be heard, Teaching and Learning Proof Across the Grades not only highlights the main ideas that have recently emerged on proof research, but also defines an agenda for future study.
Author : Catherine A. Gorini
Publisher : Infobase Publishing
ISBN 13 : 1438109571
Total Pages : 289 pages
Book Rating : 4.4/5 (381 download)
Download or read book The Facts on File Geometry Handbook written by Catherine A. Gorini and published by Infobase Publishing. This book was released on 2014-05-14 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains a history of the subject of geometry, including more than 3,000 entries providing definitions and explanations of related topics, plus brief biographies of over 300 scientists.
Author : Wright, Katherine Landau
Publisher : IGI Global
ISBN 13 : 1668482630
Total Pages : 344 pages
Book Rating : 4.6/5 (684 download)
Download or read book Assessing Disciplinary Writing in Both Research and Practice written by Wright, Katherine Landau and published by IGI Global. This book was released on 2023-08-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assessing Disciplinary Writing in Both Research and Practice tackles the challenge of measuring writing skills in specific content areas, which is crucial for preparing students to communicate as field experts and for their future careers. Edited by Katherine Wright, Associate Professor of Literacy and Language at Boise State University, and Tracey Hodges, Founder and Lead Consultant of The Empowering Advocate, this book provides solutions by bringing together validated measures and practical assessment strategies that can be used in both research and instruction. The book's theoretical foundations cover multimodal disciplinary writing, assessing disciplinary writing versus content-area writing, and using assessment as a tool for disciplinary writing instruction. Practical methods for assessing writing in social studies, science, mathematics, English and language arts, and other genres at the elementary, middle, and high school levels are included, as well as assessment strategies for specific populations of students such as undergraduate students, English learners, gifted and talented students, special needs students, and incarcerated students. This highly valued reference is essential for academic scholars, K12 teachers, and educational researchers who want to improve writing instruction and research in content- and discipline-specific areas. By providing validated measures and methods for assessing disciplinary writing, this edited book helps bridge the gap between research and practice and enables practitioners to better measure student growth and improve writing instruction. This publication is the first step towards advancing research and improving writing instruction in content- and discipline-specific areas.
Author : Michael P. Clough
Publisher : Springer Science & Business Media
ISBN 13 : 9462092699
Total Pages : 449 pages
Book Rating : 4.4/5 (62 download)
Download or read book The Nature of Technology written by Michael P. Clough and published by Springer Science & Business Media. This book was released on 2013-09-03 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: How does technology alter thinking and action without our awareness? How can instantaneous information access impede understanding and wisdom? How does technology alter conceptions of education, schooling, teaching and what learning entails? What are the implications of these and other technology issues for society? Meaningful technology education is far more than learning how to use technology. It entails an understanding of the nature of technology — what technology is, how and why technology is developed, how individuals and society direct, react to, and are sometimes unwittingly changed by technology. This book places these and other issues regarding the nature of technology in the context of learning, teaching and schooling. The nature of technology and its impact on education must become a significant object of inquiry among educators. Students must come to understand the nature of technology so that they can make informed decisions regarding how technology may influence thinking, values and action, and when and how technology should be used in their personal lives and in society. Prudent choices regarding technology cannot be made without understanding the issues that this book raises. This book is intended to raise such issues and stimulate thinking and action among teachers, teacher educators, and education researchers. The contributions to this book raise historical and philosophical issues regarding the nature of technology and their implications for education; challenge teacher educators and teachers to promote understanding of the nature of technology; and provide practical considerations for teaching the nature of technology.
Author : Dan Bennett
Publisher :
ISBN 13 : 9781559530996
Total Pages : 240 pages
Book Rating : 4.5/5 (39 download)
Download or read book The Geometer's Sketchpad written by Dan Bennett and published by . This book was released on 1995 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David A. Reid
Publisher : BRILL
ISBN 13 : 946091246X
Total Pages : 265 pages
Book Rating : 4.4/5 (69 download)
Download or read book Proof in Mathematics Education written by David A. Reid and published by BRILL. This book was released on 2010-01-01 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on teaching and learning proof and proving has expanded in recent decades. This reflects the growth of mathematics education research in general, but also an increased emphasis on proof in mathematics education.
Author :
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (3 download)
Download or read book ENC Focus written by and published by . This book was released on 2001 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dieter Probst
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 1501502646
Total Pages : 392 pages
Book Rating : 4.5/5 (15 download)
Download or read book Concepts of Proof in Mathematics, Philosophy, and Computer Science written by Dieter Probst and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-07-25 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning from axioms which are considered evident for the given context and agreed upon by the community. It is this concept that sets mathematics apart from other disciplines and distinguishes it as the prototype of a deductive science. Proofs thus are utterly relevant for research, teaching and communication in mathematics and of particular interest for the philosophy of mathematics. In computer science, moreover, proofs have proved to be a rich source for already certified algorithms. This book provides the reader with a collection of articles covering relevant current research topics circled around the concept 'proof'. It tries to give due consideration to the depth and breadth of the subject by discussing its philosophical and methodological aspects, addressing foundational issues induced by Hilbert's Programme and the benefits of the arising formal notions of proof, without neglecting reasoning in natural language proofs and applications in computer science such as program extraction.
