Theorems In School

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Theorems In School

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Author : Paolo Boero
language : en
Publisher: Sense Publishers
Release Date : 2007

Theorems In School written by Paolo Boero and has been published by Sense Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Education categories.

This book, addressing mathematics educators, teacher-trainers and teachers, is published as a contribution to the endeavour of renewing the teaching of proof (and theorems) on the basis of historical-epistemological, cognitive and didactical considerations.

18 Theorems Of Geometry

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Author : William Smith
language : en
Publisher: Xlibris Corporation
Release Date : 2010-06

18 Theorems Of Geometry written by William Smith and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06 with Education categories.

The Sequence Of Theorems In School Geometry

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Author : Sir Thomas Percy Nunn
language : en
Publisher:
Release Date : 1922

The Sequence Of Theorems In School Geometry written by Sir Thomas Percy Nunn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1922 with categories.

Advances In Mathematics Education Research On Proof And Proving

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Author : Andreas J. Stylianides
language : en
Publisher: Springer
Release Date : 2018-01-10

Advances In Mathematics Education Research On Proof And Proving written by Andreas J. Stylianides and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-10 with Education categories.

This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area. The book is organized around the following four themes, which reflect the breadth of issues addressed in the book: • Theme 1: Epistemological issues related to proof and proving; • Theme 2: Classroom-based issues related to proof and proving; • Theme 3: Cognitive and curricular issues related to proof and proving; and • Theme 4: Issues related to the use of examples in proof and proving. Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall.

Geometry For Schools The Theorems Collected And Arranged By E Fenwick

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Author : Edward FENWICK (Head Master of Bournemouth School.)
language : en
Publisher:
Release Date : 1908

Geometry For Schools The Theorems Collected And Arranged By E Fenwick written by Edward FENWICK (Head Master of Bournemouth School.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1908 with categories.

Inequalities

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Author : Zdravko Cvetkovski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-06

Inequalities written by Zdravko Cvetkovski 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 2012-01-06 with Mathematics categories.

This work is about inequalities which play an important role in mathematical Olympiads. It contains 175 solved problems in the form of exercises and, in addition, 310 solved problems. The book also covers the theoretical background of the most important theorems and techniques required for solving inequalities. It is written for all middle and high-school students, as well as for graduate and undergraduate students. School teachers and trainers for mathematical competitions will also gain benefit from this book.

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.

Theorems Of The 21st Century

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Author : Bogdan Grechuk
language : en
Publisher: Springer
Release Date : 2019-06-15

Theorems Of The 21st Century written by Bogdan Grechuk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-15 with Mathematics categories.

This book consists of short descriptions of 106 mathematical theorems, which belong to the great achievements of 21st century mathematics but require relatively little mathematical background to understand their formulation and appreciate their importance. The selected theorems of this volume, chosen from the famous Annals of Mathematics journal, cover a broad range of topics from across mathematics. Each theorem description is essentially self-contained, can be read independently of the others, and requires as little preliminary knowledge as possible. Although the sections often start with an informal discussion and toy examples, all the necessary definitions are included and each description culminates in the precise formulation of the corresponding theorem. Filling the gap between surveys written for mathematicians and popular mathematics, this book is intended for readers with a keen interest in contemporary mathematics.

Topics In Elementary Geometry

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Author : O. Bottema
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-10

Topics In Elementary Geometry written by O. Bottema 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 2008-12-10 with Mathematics categories.

This small book, translated into English for the first time, has long been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating, and the author provides many thought-provoking ideas.

Problems And Proofs In Numbers And Algebra

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Author : Richard S. Millman
language : en
Publisher: Springer
Release Date : 2015-02-09

Problems And Proofs In Numbers And Algebra written by Richard S. Millman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-09 with Mathematics categories.

Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials. The benefit to readers who are moving from calculus to more abstract mathematics is to acquire the ability to understand proofs through use of the book and the multitude of proofs and problems that will be covered throughout. This book is meant to be a transitional precursor to more complex topics in analysis, advanced number theory, and abstract algebra. To achieve the goal of conceptual understanding, a large number of problems and examples will be interspersed through every chapter. The problems are always presented in a multi-step and often very challenging, requiring the reader to think about proofs, counter-examples, and conjectures. Beyond the undergraduate mathematics student audience, the text can also offer a rigorous treatment of mathematics content (numbers and algebra) for high-achieving high school students. Furthermore, prospective teachers will add to the breadth of the audience as math education majors, will understand more thoroughly methods of proof, and will add to the depth of their mathematical knowledge. In the past, PNA has been taught in a "problem solving in middle school” course (twice), to a quite advanced high school students course (three semesters), and three times as a secondary resource for a course for future high school teachers. PNA is suitable for secondary math teachers who look for material to encourage and motivate more high achieving students.