The Geometer S Sketchpad Rethinking Proof
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The Geometer S Sketchpad Rethinking Proof
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Author : KEY CURRICULUM
language : en
Publisher: McGraw-Hill Education
Release Date : 2012-09-01
The Geometer S Sketchpad Rethinking Proof written by KEY CURRICULUM and has been published by McGraw-Hill Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-01 with Mathematics categories.
These activities use the power of dynamic geometry to support students in making conjectures, then developing explanations of why they must be true.
The Geometer S Sketchpad
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Author : Dan Bennett
language : en
Publisher:
Release Date : 1995
The Geometer S Sketchpad written by Dan Bennett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Geometer's Sketchpad categories.
Proof And Proving In Mathematics Education
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Author : Gila Hanna
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-14
Proof And Proving In Mathematics Education written by Gila Hanna 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 2012-06-14 with Education categories.
*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.
Rethinking Proof With Geometer S Sketchpad
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Author : Michael D. De Villiers
language : en
Publisher:
Release Date : 2015
Rethinking Proof With Geometer S Sketchpad written by Michael D. De Villiers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Proving In The Elementary Mathematics Classroom
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Author : Andreas J. Stylianides
language : en
Publisher: Oxford University Press
Release Date : 2016-07-14
Proving In The Elementary Mathematics Classroom written by Andreas J. Stylianides and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-14 with Mathematics categories.
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.
New Horizons In Mathematics And Science Education
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Author :
language : en
Publisher:
Release Date : 2001
New Horizons In Mathematics And Science Education written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Educational change categories.
Concepts Of Proof In Mathematics Philosophy And Computer Science
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Author : Dieter Probst
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-07-25
Concepts Of Proof In Mathematics Philosophy And Computer Science written by Dieter Probst and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-25 with Philosophy categories.
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.
Adventures In Dynamic Geometry
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Author : Gerry Stahl
language : en
Publisher: Lulu.com
Release Date : 2015-10-06
Adventures In Dynamic Geometry written by Gerry Stahl and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-06 with Education categories.
Math games and workbooks with topics for online small groups of teachers or students to collaboratively learn dynamic geometry. The approach is based on "Translating Euclid." The many GeoGebra files used in VMT courses are pictured in the workbook. Several versions of the workbooks are available, including the version used in WinterFest 2013 and analyzed in "Translating Euclid" and "Constructing Dynamic Triangles Together." Also includes the content of a game version that is available as a GeoGebraBook.
Transformational Plane Geometry
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Author : Ronald N. Umble
language : en
Publisher: CRC Press
Release Date : 2014-12-01
Transformational Plane Geometry written by Ronald N. Umble and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-01 with Mathematics categories.
Designed for a one-semester course at the junior undergraduate level, Transformational Plane Geometry takes a hands-on, interactive approach to teaching plane geometry. The book is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. The text adheres to the National Council of Teachers of Mathematics Principles and Standards for School Mathematics and the Common Core State Standards Initiative Standards for Mathematical Practice. Future teachers will acquire the skills needed to effectively apply these standards in their classrooms. Following Felix Klein's Erlangen Program, the book provides students in pure mathematics and students in teacher training programs with a concrete visual alternative to Euclid's purely axiomatic approach to plane geometry. It enables geometrical visualization in three ways: Key concepts are motivated with exploratory activities using software specifically designed for performing geometrical constructions, such as Geometer's Sketchpad. Each concept is introduced synthetically (without coordinates) and analytically (with coordinates). Exercises include numerous geometric constructions that use a reflecting instrument, such as a MIRA. After reviewing the essential principles of classical Euclidean geometry, the book covers general transformations of the plane with particular attention to translations, rotations, reflections, stretches, and their compositions. The authors apply these transformations to study congruence, similarity, and symmetry of plane figures and to classify the isometries and similarities of the plane.
Enc Focus
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Author :
language : en
Publisher:
Release Date : 2000
Enc Focus written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
