Название: Teaching and learning mathematics online ISBN: 1032504536 ISBN-13(EAN): 9781032504537 Издательство: Taylor&Francis Цена: 8267.00 р. Наличие на складе: Есть у поставщикаПоставка под заказ.
Автор: Andrew McFarland; Joanna McFarland; James T. Smith Название: Alfred Tarski ISBN: 1493914731 ISBN-13(EAN): 9781493914739 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Alexander Rozenblyum, Leonid Rozenblyum Название: Learning Trigonometry By Problem Solving ISBN: 9811232849 ISBN-13(EAN): 9789811232848 Издательство: World Scientific Publishing Рейтинг: Цена: 7128.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
In this book, trigonometry is presented mainly through the solution of specific problems. The problems are meant to help the reader consolidate their knowledge of the subject. In addition, they serve to motivate and provide context for the concepts, definitions, and results as they are presented. In this way, it enables a more active mastery of the subject, directly linking the results of the theory with their applications. Some historical notes are also embedded in selected chapters.
The problems in the book are selected from a variety of disciplines, such as physics, medicine, architecture, and so on. They include solving triangles, trigonometric equations, and their applications. Taken together, the problems cover the entirety of material contained in a standard trigonometry course which is studied in high school and college.
We have also added some interesting, in our opinion, entertainment problems. To solve them, no special knowledge is required. While they are not directly related to the subject of the book, they reflect its spirit and contribute to a more lighthearted reading of the material.
Описание: This book seeks to explore the history of descriptive geometry in relation to its circulation in the 19th century, which had been favoured by the transfers of the model of the Ecole Polytechnique to other countries. The book also covers the diffusion of its teaching from higher instruction to technical and secondary teaching.
Описание: This book introduces ten problem-solving strategies by first presenting the strategy and then applying it to problems in elementary mathematics.
Автор: Andrew McFarland; Joanna McFarland; James T. Smith Название: Alfred Tarski ISBN: 1493951173 ISBN-13(EAN): 9781493951178 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 17609.00 р. Наличие на складе: Нет в наличии.
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 Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Batanero Название: Teaching and Learning Stochastics ISBN: 3319728709 ISBN-13(EAN): 9783319728704 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Preface
Section 1. Teaching probability
Chapter 1. Reasoning with risk: teaching probability and risk as twin concepts
Manfred Borovcnik and Ramesh Kapadia
Chapter 2. Language and lexical ambiguity in the probability register
Adam Molnar
Chapter 3. The status of probability in the elementary and lower secondary school mathematics curriculum: the rise and fall of probability in school mathematics in the United States
Cynthia W. Langrall
Chapter 4. Challenges and opportunities in experimentation-based instruction in probability
Per Nilsson, Andreas Eckert and Dave Pratt
Chapter 5. Visualising conditional probabilities - three perspectives on unit squares and tree diagrams
Katharina Bцcherer-Linder, Andreas Eichler and Markus Vogel
Chapter 6. Probability concepts needed for teaching a repeated sampling approach to inference
Hollylynne S. Lee
Chapter 7. Characterizing the probability problems proposed in university entrance tests in Andalucia
Carmen Batanero, Maria del Mar Lуpez-Martнn, Pedro Arteaga and Marнa M. Gea
Chapter 8. Random walks in the didactics of probability: enactive metaphoric learning sprouts
Jorge Soto, Daniela Dнaz-Rojas and Pamela Reyes-Santander
Chapter 9. The role of statistics anxiety in learning probability
Caterina Primi, Anna Donati and Francesca Chiesi
Section 2. Students' reasoning and learning
Chapter 10. What 9- and 10-year old pupils already know and what they can learn about randomness
Peter Bryant, Terezinha Nunes, Deborah Evans, Rossana Barros, Laura Gottardis and Emanouela Terlektsi
Chapter 11. Understanding children's meaning of randomness in relation to random generators. Haneet Gandhi
Chapter 12. Reasoning in decision making under uncertainty and decisions of risi on a game of chance
Ana Serradу
Chapter 13. Determinism and empirical commitment in probabilistic reasoning of high school students
Ernesto Sanchez, Jaime Garcнa and Miguel Mercado
Chapter 14. Students' reasoning on sample space and probabilities of compound events
Pedro Landнn and Jesъs Salinas
Chapter 15. The six loses: risky decisions between probabilistic reasoning and gut feelings
Joachim Engel and Arne Orthwein
Section 3. Education of teachers
Chapter 16. Comparing the relative probabilities of events
Egan Chernoff, Ilona Vashchyshyn and Heidi Neufeld
Chapter 17. Preparing teachers for teaching probability through problem solving
Pedro M. Huerta
Chapter 18. Exploring teachers' attitudes towards probability and its teaching
Assumpta Estrada, Carmen Batanero and Carmen Dнaz
Chapter 19. Students' reflections about a course for learning probability via simulations
Описание: This important contribution to the literature on linguistic structure in comparative studies of Chinese mathematics learning asserts that research on cognitive processes from arithmetic thought to algebraic thought should consider socio-cultural context.
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 Рейтинг: Цена: 7603.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 20962.00 р. Наличие на складе: Нет в наличии.
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.
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