Download or read book Exploring the Number Jungle A Journey into Diophantine Analysis written by Edward B. Burger and published by American Mathematical Soc.. This book was released on 2000 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The minimal background requirements and the author's fresh approach make this book enjoyable and accessible to a wide range of students, mathematicians, and fans of number theory."--BOOK JACKET.
Download or read book The History of Zero written by Tika Downey and published by The Rosen Publishing Group, Inc. This book was released on 2010-01-01 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looks at counting systems and the history of the number zero.
Download or read book 50 Fantastic Ideas for Exploring Number written by Alison Hutchison and published by Bloomsbury Publishing. This book was released on 2018-03-08 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 50 Fantastic Ideas series is packed full of fun, original, skills-based activities for Early Years practitioners to use with children aged 0-5. Each activity features step-by-step guidance, a list of resources, and a detailed explanation of the skills children will learn. Creative, simple, and highly effective, this series is a must-have for every Early Years setting. Developing a secure understanding of number in the Early Years is key to ensuring number confidence for future stages of learning. A wide variety of meaningful hands-on experiences are required to develop a child's deep understanding of number. 50 Fantastic Ideas for Exploring Number presents ideas that are all about doing – to not only stimulate the senses, but to also provoke thinking and talking, allow questions to be asked, and ensure that links are made between number concepts and the real world. The ideas require little preparation beforehand, can be used by practitioners without any specific expertise in teaching early number, and include easy-to-source materials. Each area of early number sense is covered from adding on and taking away to number stories, identifying and writing numbers. Alison Hutchison draws on her wealth of experience to present 50 ideas and experiences that make numbers fun and accessible so that, as they explore and investigate, children are fully engaged partners in their learning at this crucial early stage of their number journey.
Download or read book Can You Count in Greek written by Judy Leimbach and published by Taylor & Francis. This book was released on 2023-05-31 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discovering the way people in ancient cultures conducted their lives is fascinating for young people, and learning how these people counted and calculated is a part of understanding these cultures. This book offers a concise, but thorough, introduction to ancient number systems. Students won't just learn to count like the ancient Greeks; they'll learn about the number systems of the Mayans, Babylonians, Egyptians, and Romans, as well as learning Hindu-Arabic cultures and quinary and binary systems. Symbols and rules regarding the use of the symbols in each number system are introduced and demonstrated with examples. Activity pages provide problems for the students to apply their understanding of each system. Can You Count in Greek? is a great resource for math, as well as a supplement for social studies units on ancient civilizations. This valuable resource builds understanding of place value, number theory, and reasoning. It includes everything you need to easily incorporate these units in math or social studies classes. Whether you use all of the units or a select few, your students will gain a better understanding and appreciation of our number system. Grades 5-8
Download or read book Analytic Number Theory written by Jean-Marie De Koninck and published by American Mathematical Soc.. This book was released on 2012-05-02 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors assemble a fascinating collection of topics from analytic number theory that provides an introduction to the subject with a very clear and unique focus on the anatomy of integers, that is, on the study of the multiplicative structure of the integers. Some of the most important topics presented are the global and local behavior of arithmetic functions, an extensive study of smooth numbers, the Hardy-Ramanujan and Landau theorems, characters and the Dirichlet theorem, the $abc$ conjecture along with some of its applications, and sieve methods. The book concludes with a whole chapter on the index of composition of an integer. One of this book's best features is the collection of problems at the end of each chapter that have been chosen carefully to reinforce the material. The authors include solutions to the even-numbered problems, making this volume very appropriate for readers who want to test their understanding of the theory presented in the book.
Download or read book Engaging Maths written by Catherine Attard and published by . This book was released on 2013-05-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Exploring Engineering written by Robert Balmer and published by Academic Press. This book was released on 2009-09-05 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Engineering: An Introduction to Engineering and Design, Second Edition, provides an introduction to the engineering profession. It covers both classical engineering and emerging fields, such as bioengineering, nanotechnology, and mechatronics. The book is organized into two parts. Part 1 provides an overview of the engineering discipline. It begins with a discussion of what engineers do and then covers topics such as the key elements of engineering analysis; problems solving and spreadsheet analyses; and the kinds, conversion, and conservation of energy. The book also discusses key concepts drawn from the fields of chemical engineering; mechanical engineering; electrical engineering; electrochemical engineering; materials engineering; civil engineering; engineering kinematics; bioengineering; manufacturing engineering; and engineering economics. Part 2 focuses on the steps in the engineering design process. It provides content for a Design Studio, where students can design and build increasingly complex engineering system. It also presents examples of design competitions and concludes with brief remarks about the importance of design projects. - Organized in two parts to cover both the concepts and practice of engineering: Part I, Minds On, introduces the fundamental physical, chemical and material bases for all engineering work while Part II, Hands On, provides opportunity to do design projects - An Engineering Ethics Decision Matrix is introduced in Chapter 1 and used throughout the book to pose ethical challenges and explore ethical decision-making in an engineering context - Lists of "Top Engineering Achievements" and "Top Engineering Challenges" help put the material in context and show engineering as a vibrant discipline involved in solving societal problemsNew to this edition: - Additional discussions on what engineers do, and the distinctions between engineers, technicians, and managers (Chapter 1) - New coverage of Renewable Energy and Environmental Engineering helps emphasize the emerging interest in Sustainable Engineering - New discussions of Six Sigma in the Design section, and expanded material on writing technical reports - Re-organized and updated chapters in Part I to more closely align with specific engineering disciplines new end of chapter excercises throughout the book
Download or read book Exploring Fractions Grades 6 12 written by Mace and published by Mark Twain Media. This book was released on 2008-09-02 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: Make math matter to students in grades 6–12 using Exploring Fractions: Mastering Fractional Concepts and Operations! In this 96-page book, five units cover fractional concepts from the basics through fraction and mixed number operations. The three-part lessons include teacher-guided exploration, independent practice, and opportunities to apply new concepts. The book also includes notes, suggestions, and a standards matrix and supports NCTM standards.
Download or read book Exploring Mathematics With Integrated Spreadsheets In Teacher Education written by Sergei Abramovich and published by World Scientific Publishing Company. This book was released on 2015-07-30 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the book is to technologically enhance the preparation of mathematics schoolteachers using an electronic spreadsheet integrated with Maple and Wolfram Alpha — digital tools capable of sophisticated symbolic computations. The content of the book is a combination of mathematical ideas and concepts associated with pre-college problem solving curriculum and their extensions into more advanced mathematical topics.The book provides prospective and practicing teachers with a foundation for developing a deep understanding of many concepts fundamental to the teaching of school mathematics. It also provides the teachers with a technical expertise in designing spreadsheet-based computational environments.Consistent with the current worldwide guidelines for technology-enhanced teacher preparation, the book emphasizes the integration of context, mathematics, and technology as a method for teaching mathematics. Throughout the book, a number of mathematics education documents developed around the world (Australia, Canada, England, Japan, Singapore, United States) are reviewed as appropriate.
Download or read book Making Sense of Number K 10 written by Mary Fiore and published by Pembroke Publishers Limited. This book was released on 2018-11-27 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical book shows you how to get to know the needs and abilities of your students and help them make sense of math concepts. Designed to enhance your professional learning, the book shows you how to notice, interpret, confirm, and respond to student thinking. You will discover how to structure learning experiences around key number concepts — quantity, counting, relating, and representing — developed across various strands: patterning and algebra, numbers and operations, measurement, geometry, and data and probability. Powerful examples of questions and prompts guide you to create a classroom where students get the support they need as they develop confidence in their number sense.
Download or read book Exploring Continued Fractions From the Integers to Solar Eclipses written by Andrew J. Simoson and published by American Mathematical Soc.. This book was released on 2021-04-30 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a nineteen-year recurrence in the apparent position of the sun and moon against the background of the stars, a pattern observed long ago by the Babylonians. In the course of those nineteen years the Earth experiences 235 lunar cycles. Suppose we calculate the ratio of Earth's period about the sun to the moon's period about Earth. That ratio has 235/19 as one of its early continued fraction convergents, which explains the apparent periodicity. Exploring Continued Fractions explains this and other recurrent phenomena—astronomical transits and conjunctions, lifecycles of cicadas, eclipses—by way of continued fraction expansions. The deeper purpose is to find patterns, solve puzzles, and discover some appealing number theory. The reader will explore several algorithms for computing continued fractions, including some new to the literature. He or she will also explore the surprisingly large portion of number theory connected to continued fractions: Pythagorean triples, Diophantine equations, the Stern-Brocot tree, and a number of combinatorial sequences. The book features a pleasantly discursive style with excursions into music (The Well-Tempered Clavier), history (the Ishango bone and Plimpton 322), classics (the shape of More's Utopia) and whimsy (dropping a black hole on Earth's surface). Andy Simoson has won both the Chauvenet Prize and Pólya Award for expository writing from the MAA and his Voltaire's Riddle was a Choice magazine Outstanding Academic Title. This book is an enjoyable ramble through some beautiful mathematics. For most of the journey the only necessary prerequisites are a minimal familiarity with mathematical reasoning and a sense of fun.
Download or read book Mastering the Art of Number Magic written by Arthus C. Dee and published by tredition. This book was released on 2024-03-24 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mastering the Art of Number Magic: Discovering the Cosmic Blueprint of Life's Mysteries" by Arthus C. Dee delves into the ancient wisdom of numerology, unlocking the secrets of the universe through the powerful language of numbers. This compelling guide invites you on a transformative journey to explore the mystical connections between numerical patterns and the fabric of existence. Dee, a renowned scholar in the mystical arts, offers an unparalleled exploration of how numbers influence our lives, destinies, and the cosmos itself. Drawing upon a rich tapestry of historical insights, esoteric knowledge, and practical applications, "Mastering the Art of Number Magic" reveals how to harness the vibrational energy of numbers for personal growth, prosperity, and spiritual enlightenment. From decoding your life path to manifesting your deepest desires, Dee provides a comprehensive framework for navigating the mysteries of the universe with precision and wisdom. Embark on this captivating expedition to uncover the cosmic blueprint of life's mysteries. Whether you're a seasoned practitioner or new to the mystical realms of numerology, Dee's masterful teachings will ignite a profound understanding of the universe, offering keys to unlocking your potential and transforming your reality through the art of number magic.
Download or read book Teaching And Learning Early Number written by Thompson, Ian and published by McGraw-Hill Education (UK). This book was released on 2008-10-01 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: For all trainee and practising early years teachers and classroom assistants, this is an accessible guide to a wide range of research evidence about the teaching and learning of early number.
Download or read book Enriching Mathematics in the Primary Curriculum written by Sue Pope and published by Learning Matters. This book was released on 2019-03-11 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do I enrich children′s learning of primary mathematics to bring the subject to life? This book inspires and supports you, the new and beginning teacher, to use talk-rich and open tasks that bring mathematics to life in your classroom. Tried and loved practical tasks that engage and motivate Supports you to create confident and resilient mathematicians in your classroom Explores ways to engage children in mathematics across the primary curriculum Focuses on understanding key mathematical concepts and the connections between them
Download or read book Fostering Children s Mathematical Power written by Arthur J. Baroody and published by Routledge. This book was released on 1998-09-01 with total page 1096 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teachers have the responsibility of helping all of their students construct the disposition and knowledge needed to live successfully in a complex and rapidly changing world. To meet the challenges of the 21st century, students will especially need mathematical power: a positive disposition toward mathematics (curiosity and self confidence), facility with the processes of mathematical inquiry (problem solving, reasoning and communicating), and well connected mathematical knowledge (an understanding of mathematical concepts, procedures and formulas). This guide seeks to help teachers achieve the capability to foster children's mathematical power - the ability to excite them about mathematics, help them see that it makes sense, and enable them to harness its might for solving everyday and extraordinary problems. The investigative approach attempts to foster mathematical power by making mathematics instruction process-based, understandable or relevant to the everyday life of students. Past efforts to reform mathematics instruction have focused on only one or two of these aims, whereas the investigative approach accomplishes all three. By teaching content in a purposeful context, an inquiry-based fashion, and a meaningful manner, this approach promotes chilren's mathematical learning in an interesting, thought-provoking and comprehensible way. This teaching guide is designed to help teachers appreciate the need for the investigative approach and to provide practical advice on how to make this approach happen in the classroom. It not only dispenses information, but also serves as a catalyst for exploring, conjecturing about, discussing and contemplating the teaching and learning of mathematics.
Download or read book Times Table Tactics written by Peter Critchley and published by Nelson Thornes. This book was released on 2003 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes an investigative approach to multiplication. The activities give children a wider and more varied experience of multiplication rather than just teaching by rote. The activities are supplemented by photocopiables that can be used either as OHTs or children's resource sheets.
Download or read book Mathematics Learning Centres for Early Years Ages 4 8 written by Desiree Gilbert and published by R.I.C. Publications. This book was released on 2008 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: