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Proof Technology in Mathematics Research and Teaching, Gila Hanna; David A. Reid; Michael de Villiers


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Автор: Gila Hanna; David A. Reid; Michael de Villiers
Название:  Proof Technology in Mathematics Research and Teaching
ISBN: 9783030284824
Издательство: Springer
Классификация:





ISBN-10: 3030284824
Обложка/Формат: Hardcover
Страницы: 379
Вес: 0.91 кг.
Дата издания: 2019
Серия: Mathematics Education in the Digital Era
Язык: English
Иллюстрации: VIII, 379 p. 137 illus., 83 illus. in color.
Размер: Book
Основная тема: Education
Ссылка на Издательство: Link
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Поставляется из: Германии
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.
Дополнительное описание: Chapter 1. Proof technology: Implications for teaching.- Chapter 2. A fully automatic theorem prover with human-style output.- Chapter 3. A common type of rigorous proof that resists Hilbert's programme.- Chapter 4. SMTCoq: Mixing automatic and interactiv



Cambridge Primary Mathematics Stage 5 Learner`s Book

Автор: Low Emma
Название: Cambridge Primary Mathematics Stage 5 Learner`s Book
ISBN: 1107638224 ISBN-13(EAN): 9781107638228
Издательство: Cambridge Education
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Цена: 3047.00 р. 3386.00 -10%
Наличие на складе: Есть (более 5-х шт.)
Описание: This series is endorsed by Cambridge International Examinations and is part of Cambridge Maths.

Cambridge Primary Mathematics Stage 6 Learner`s Book

Автор: Low Emma
Название: Cambridge Primary Mathematics Stage 6 Learner`s Book
ISBN: 1107618592 ISBN-13(EAN): 9781107618596
Издательство: Cambridge Education
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Цена: 2995.00 р.
Наличие на складе: Есть (более 5-х шт.)
Описание: This series is endorsed by Cambridge International Examinations and is part of Cambridge Maths. Children will enjoy learning mathematics with this fun and attractive learner's book for stage 6. A variety of questions, activities, investigations and games that are designed to reinforce the concepts learnt in the core activities in the teacher's guide and address misconceptions are included along with hints and tips. Clear, often pictorial, explanation of mathematical vocabulary will help children learn new terms whether they are native English speakers or second language speakers and great care has been made to ensure language is accessible.

Cambridge Primary Mathematics Stage 3 Learner`s Book

Автор: Janet Rees Cherri Moseley &
Название: Cambridge Primary Mathematics Stage 3 Learner`s Book
ISBN: 1107667674 ISBN-13(EAN): 9781107667679
Издательство: Cambridge Education
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Цена: 2821.00 р.
Наличие на складе: Поставка под заказ.

Описание: This series is endorsed by Cambridge International Examinations and is part of Cambridge Maths. Children will enjoy learning mathematics with this fun and attractive learner's book for stage 3. A variety of questions, activities, investigations and games that are designed to reinforce the concepts learnt in the core activities in the teacher's guide and address misconceptions are included along with hints and tips. Clear, often pictorial, explanation of mathematical vocabulary will help children learn new terms whether they are native English speakers or second language speakers and great care has been made to ensure language is accessible.

Cambridge international as & a level mathematics: probability & statistics 1 practice book

Название: Cambridge international as & a level mathematics: probability & statistics 1 practice book
ISBN: 1108444903 ISBN-13(EAN): 9781108444903
Издательство: Cambridge Education
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Цена: 3213.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020.

Cambridge Global English 8 Workbook

Автор: Barker/Mitchell/Lucantoni
Название: Cambridge Global English 8 Workbook
ISBN: 1107657717 ISBN-13(EAN): 9781107657717
Издательство: Cambridge Education
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Цена: 2777.00 р.
Наличие на складе: Поставка под заказ.

Описание: Workbook 8 is organised into eighteen thematic units of study based on the Cambridge International Examinations English as a Second Language Scheme of Work for Stage 8 The units are carefully structured to reinforce the language learning of the Coursebook, at the same time as extending students` knowledge via a range of exercise types. CEFR Level: B1.

The First Sourcebook On Asian Research In Mathematics Education

Автор: Sriraman, Cai, Lee, Fan, Shimizu
Название: The First Sourcebook On Asian Research In Mathematics Education
ISBN: 1623960282 ISBN-13(EAN): 9781623960285
Издательство: Mare Nostrum (Eurospan)
Цена: 32848.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Mathematics and Science education have both grown in fertile directions in different geographic regions. Yet, the mainstream discourse in international handbooks does not lend voice to developments in cognition, curriculum, teacher development, assessment, policy and implementation of mathematics and science in many countries. Paradoxically, in spite of advances in information technology and the “flat earth” syndrome, old distinctions and biases between different groups of researcher’s persist. In addition limited accessibility to conferences and journals also contribute to this problem.The International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education.The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. Thepurpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners andstudents both in and outside Asia, and complement the Nordic and NCTM perspectives.

The First Sourcebook On Asian Research In Mathematics Education

Автор: Sriraman, Cai, Lee, Fan, Shimizu
Название: The First Sourcebook On Asian Research In Mathematics Education
ISBN: 1623960290 ISBN-13(EAN): 9781623960292
Издательство: Mare Nostrum (Eurospan)
Цена: 49064.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Mathematics and Science education have both grown in fertile directions in different geographic regions. Yet, the mainstream discourse in international handbooks does not lend voice to developments in cognition, curriculum, teacher development, assessment, policy and implementation of mathematics and science in many countries. Paradoxically, in spite of advances in information technology and the “flat earth” syndrome, old distinctions and biases between different groups of researcher’s persist. In addition limited accessibility to conferences and journals also contribute to this problem.The International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education.The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. Thepurpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners andstudents both in and outside Asia, and complement the Nordic and NCTM perspectives.

Handbook of International Research in Mathematics Education

Автор: English Lyn D., Kirshner David
Название: Handbook of International Research in Mathematics Education
ISBN: 0415832047 ISBN-13(EAN): 9780415832045
Издательство: Taylor&Francis
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Цена: 18374.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This third edition of the Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and practical developments in the field of mathematics education.

Integrating Research on the Graphical Representation of Functions

Автор: Romberg Thomas A., Fennema Elizabeth, Carpenter Thomas P.
Название: Integrating Research on the Graphical Representation of Functions
ISBN: 1138992542 ISBN-13(EAN): 9781138992542
Издательство: Taylor&Francis
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Цена: 7195.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This volume focuses on the important mathematical idea of functions that, with the technology of computers and calculators, can be dynamically represented in ways that have not been possible previously. The book's editors contend that as result of recent technological developments combined with the integrated knowledge available from research on teaching, instruction, students' thinking, and assessment, curriculum developers, researchers, and teacher educators are faced with an unprecedented opportunity for making dramatic changes.
The book presents content considerations that occur when the mathematics of graphs and functions relate to curriculum. It also examines content in a carefully considered integration of research that conveys where the field stands and where it might go. Drawing heavily on their own work, the chapter authors reconceptualize research in their specific areas so that this knowledge is integrated with the others' strands. This model for synthesizing research can serve as a paradigm for how research in mathematics education can -- and probably should -- proceed.

Developing 21St Century Competencies In The Mathematics Classroom: Yearbook 2016, Association Of Mathematics Educators

Автор: Toh Pee Choon & Kaur Berinderjeet
Название: Developing 21St Century Competencies In The Mathematics Classroom: Yearbook 2016, Association Of Mathematics Educators
ISBN: 9813143606 ISBN-13(EAN): 9789813143609
Издательство: World Scientific Publishing
Цена: 14256.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

The aim of this book is to contribute towards literature in the field of mathematics education, specifically the development of 21st century competencies amongst learners of mathematics.The book comprising fourteen chapters, written by renowned researchers in mathematics education, provides readers with approaches and applicable classroom strategies to foster skills and dispositions that will enable learners to thrive in the fast-changing and complex world that we live in today.The chapters in the book can be classified into three broad themes. The first is an examination of what is meant by 21st century competencies and how they can be developed within the context of the mathematics curriculum. The second is an in-depth discussion of evidence-based practices aimed at fostering specific competencies like metacognition and reflective thinking, critical thinking and communication skills. The last and third theme is about teaching approaches that are likely to feature increasingly in the 21st century classroom, for example flipped learning or the use of comics and storytelling.

Effectiveness of mathematics teaching in primary schools

Автор: Miao, Zhenzhen Reynolds, David
Название: Effectiveness of mathematics teaching in primary schools
ISBN: 113868032X ISBN-13(EAN): 9781138680326
Издательство: Taylor&Francis
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Цена: 24499.00 р.
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Описание: The Effectiveness of Mathematics Teaching in Primary Schools: Lessons from England and China provides a unique insight into the mathematics classrooms of these two countries and arrives at a time when the world is eager to know how Chinese learners consistently excel at learning mathematics and other core subjects.

Research on Teaching and Learning Mathematics at the Tertiary Level

Автор: Irene Biza; Victor Giraldo; Reinhard Hochmuth; Azi
Название: Research on Teaching and Learning Mathematics at the Tertiary Level
ISBN: 3319418130 ISBN-13(EAN): 9783319418131
Издательство: Springer
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Цена: 1305.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This topical survey focuses on research in tertiary mathematics education, a field that has experienced considerable growth over the last 10 years.


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