Teaching and learning mathematics online, 

Название: Teaching and learning mathematics online
ISBN: 1032504536 ISBN-13(EAN): 9781032504537
Издательство: Taylor&Francis
Цена: 8267.00 р.
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Автор: Kaur Berinderjeet & Toh Tin Lam
Название: Reasoning, Communication And Connections In Mathematics: Yearbook 2012, Association Of Mathematics Educators
ISBN: 9814405418 ISBN-13(EAN): 9789814405416
Издательство: World Scientific Publishing
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Цена: 16632.00 р.
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Описание: Encourages teachers and researchers to advance reasoning, communication and connections in mathematics classrooms. This title illustrates evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes.

Автор: Andrew McFarland; Joanna McFarland; James T. Smith
Название: Alfred Tarski
ISBN: 1493914731 ISBN-13(EAN): 9781493914739
Издательство: Springer
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Цена: 15372.00 р.
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Описание:

Alfred Tarski (1901-1983) was a renowned Polish/American mathematician, a giant of the twentieth century, who helped establish the foundations of geometry, set theory, model theory, algebraic logic and universal algebra. Throughout his career, he taught mathematics and logic at universities and sometimes in secondary schools. Many of his writings before 1939 were in Polish and remained inaccessible to most mathematicians and historians until now.

This self-contained book focuses on Tarski's early contributions to geometry and mathematics education, including the famous Banach-Tarski paradoxical decomposition of a sphere as well as high-school mathematical topics and pedagogy. These themes are significant since Tarski's later research on geometry and its foundations stemmed in part from his early employment as a high-school mathematics teacher and teacher-trainer. The book contains careful translations and much newly uncovered social background of these works written during Tarski's years in Poland.

Alfred Tarski: Early Work in Poland serves the mathematical, educational, philosophical and historical communities by publishing Tarski's early writings in a broadly accessible form, providing background from archival work in Poland and updating Tarski's bibliography.

A list of errata can be found on the author Smith's personal webpage.

Автор: Andrew McFarland; Joanna McFarland; James T. Smith
Название: Alfred Tarski
ISBN: 1493951173 ISBN-13(EAN): 9781493951178
Издательство: Springer
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Цена: 15372.00 р.
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Описание:

Alfred Tarski (1901-1983) was a renowned Polish/American mathematician, a giant of the twentieth century, who helped establish the foundations of geometry, set theory, model theory, algebraic logic and universal algebra. Throughout his career, he taught mathematics and logic at universities and sometimes in secondary schools. Many of his writings before 1939 were in Polish and remained inaccessible to most mathematicians and historians until now.

This self-contained book focuses on Tarski's early contributions to geometry and mathematics education, including the famous Banach-Tarski paradoxical decomposition of a sphere as well as high-school mathematical topics and pedagogy. These themes are significant since Tarski's later research on geometry and its foundations stemmed in part from his early employment as a high-school mathematics teacher and teacher-trainer. The book contains careful translations and much newly uncovered social background of these works written during Tarski's years in Poland.

Alfred Tarski: Early Work in Poland serves the mathematical, educational, philosophical and historical communities by publishing Tarski's early writings in a broadly accessible form, providing background from archival work in Poland and updating Tarski's bibliography.

Название: Teaching and Learning Mathematics Online
ISBN: 0815372361 ISBN-13(EAN): 9780815372363
Издательство: Taylor&Francis
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Цена: 17609.00 р.
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Описание: Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field.

Автор: Karatzas
Название: Brownian Motion and Stochastic Calculus
ISBN: 0387976558 ISBN-13(EAN): 9780387976556
Издательство: Springer
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Цена: 6981.00 р.
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Описание: This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed. The power of this calculus is illustrated by results concerning representations of martingales and change of measure on Wiener space, and these in turn permit a presentation of recent advances in financial economics (option pricing and consumption/investment optimization). This book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The text is complemented by a large number of problems and exercises.

Автор: Lloyd N. Trefethen
Название: Approximation Theory and Approximation Practice: Extended Edition
ISBN: 161197593X ISBN-13(EAN): 9781611975932
Издательство: Mare Nostrum (Eurospan)
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Цена: 9148.00 р.
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Описание: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field’s most important ideas and results.

Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online.

The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.

Автор: Delbourgo Roger
Название: Trigonometry: Notes, Problems And Exercises
ISBN: 9813207108 ISBN-13(EAN): 9789813207103
Издательство: World Scientific Publishing
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Цена: 7603.00 р.
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Описание:

"It has the content, examples, and exercises to supplement a standard text or lectures. The greater value is on subjects not appearing in many introductory texts such as Ptolemy's Theorem, Napoleon Circles, and pedal triangles."

MAA Reviews

This book provides a thorough, intermediate-level yet concise course in Trigonometry for use in colleges. There are 37 short chapters, each treating one specific theme and containing worked examples and easy exercises. Central to the work are the trigonometric properties of triangle ABC and its associated points. A small appendix contains some Spherical Trigonometry with interesting problems related to the earth; a larger one for enthusiastic students provides further lengthier exercises for extra practice, and full solutions are supplied in the conclusion.

Compared with other books on Trigonometry, this book covers the vast spread of topics. Especially, the author reminds readers of the historical importance of theorems enunciated by such contributors as Ptolemy, Euler, Morley, etc. Their names not only invite the readers to appreciate the beauty of these results, but also direct readers to mystery unknown.

Автор: Gila Hanna; David A. Reid; Michael de Villiers
Название: Proof Technology in Mathematics Research and Teaching
ISBN: 3030284824 ISBN-13(EAN): 9783030284824
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is quite different. Digital technologies have transformed how mathematicians work together, how proof is taught in schools and universities, and even the nature of proof itself. Checking billions of cases in extremely large but finite sets, impossible a few decades ago, has now become a standard method of proof. Distributed proving, by teams of mathematicians working independently on sections of a problem, has become very much easier as digital communication facilitates the sharing and comparison of results. Proof assistants and dynamic proof environments have influenced the verification or refutation of conjectures, and ultimately how and why proof is taught in schools. And techniques from computer science for checking the validity of programs are being used to verify mathematical proofs. Chapters in this book include not only research reports and case studies, but also theoretical essays, reviews of the state of the art in selected areas, and historical studies. The authors are experts in the field.

Автор: Hine, Gregory (notre Dame University, Australia) Anderson, Judy (university Of Sydney) Reaburn, Robyn (university Of Tasmania) Cavanagh, Michael (macq
Название: Teaching secondary mathematics
ISBN: 1108984681 ISBN-13(EAN): 9781108984683
Издательство: Cambridge Academ
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Цена: 7918.00 р.
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Описание: Teaching Secondary Mathematics engages directly with the Australian Curriculum: Mathematics and the Australian Professional Standards for Teachers. Part I covers contemporary issues in learning and teaching mathematics. Part II explores key mathematics content including statistics and probability, measurement and geometry, and number and algebra.

Автор: Batanero
Название: Teaching and Learning Stochastics
ISBN: 3319728709 ISBN-13(EAN): 9783319728704
Издательство: Springer
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Цена: 23757.00 р.
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Описание:

Preface

Chapter 20.

Автор: Elana Reiser
Название: Science Of Learning Mathematical Proofs, The: An Introductory Course
ISBN: 9811227675 ISBN-13(EAN): 9789811227677
Издательство: World Scientific Publishing
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Цена: 12672.00 р.
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Описание: College students struggle with the switch from thinking of mathematics as a calculation based subject to a problem solving based subject. This book describes how the introduction to proofs course can be taught in a way that gently introduces students to this new way of thinking. This introduction utilizes recent research in neuroscience regarding how the brain learns best. Rather than jumping right into proofs, students are first taught how to change their mindset about learning, how to persevere through difficult problems, how to work successfully in a group, and how to reflect on their learning. With these tools in place, students then learn logic and problem solving as a further foundation.Next various proof techniques such as direct proofs, proof by contraposition, proof by contradiction, and mathematical induction are introduced. These proof techniques are introduced using the context of number theory. The last chapter uses Calculus as a way for students to apply the proof techniques they have learned.

Автор: Kahn, Peter
Название: Effective Learning and Teaching in Mathematics and Its Applications
ISBN: 0749435690 ISBN-13(EAN): 9780749435691
Издательство: Taylor&Francis
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Цена: 5817.00 р.
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