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This special volume is a collection of outstanding more applied articles presented in AMAT 2015 held in Ankara, May 28-31, 2015, at TOBB Economics and Technology University. The collection is suitable for Applied and Computational Mathematics and Engineering practitioners, also for related graduate students and researchers. Furthermore it will be a useful resource for all science and engineering libraries. This book includes 29 self-contained and well-edited chapters that can be among others useful for seminars in applied and computational mathematics, as well as in engineering.

'The book is grounded in the latest research about how children become effective learners, particularly in relation to mathematics. Bringing together research and practice in an accessible way, Kate Tucker provides an essential resource for all those who work with young children. I strongly recommend it!' - Dr Sue Rogers, Head of Department of Early years and Primary Education, Institute of Education Offering practical examples of focused, playful teaching this popular book is back for a third edition, with even more activities to use in your setting with children aged from 3 to 8. Completely updated to include the revised Early Years Foundation Stage, this new edition covers all the hot topics in the field, and now includes: a new section on teaching mathematics in Forest School With a user-friendly layout, this new edition is an ideal resource for practitioners wishing to enhance their mathematics teaching, and for students wishing to develop their knowledge and understanding of how to use play to teach mathematics. Kate Tucker is an early years teacher, trainer and writer based in Devon.

Blood & Mathematics - CD album - Musique CD, Vinyl : tous les albums pop, rock, variété, rap, R'n'B, classique, jazz, metal, electro ...

This open access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the design science conception has been continuously developed over a number of decades. The articles not only describe this conception in general terms, but also demonstrate various substantial learning environments that serve as typical examples. In terms of teacher education, the book provides clear information on how to combine (well-understood) mathematics and methods courses to benefit of teachers.The role of mathematics in mathematics education is often explicitly and implicitly reduced to the delivery of subject matter that then has to be selected and made palpable for students using methods imported from psychology, sociology, educational research and related disciplines. While these fields have made significant contributions to mathematics education in recent decades, it cannot be ignored that mathematics itself, if well understood, provides essential knowledge for teaching mathematics beyond the pure delivery of subject matter. For this purpose, mathematics has to be conceived of as an organism that is deeply rooted in elementary operations of the human mind, which can be seamlessly developed to higher and higher levels so that the full richness of problems of various degrees of difficulty, and different means of representation, problem-solving strategies, and forms of proof can be used in ways that are appropriate for the respective level. This view of mathematics is essential for designing learning environments and curricula, for conducting empirical studies on truly mathematical processes and also for implementing the findings of mathematics education in teacher education, where it is crucial to take systemic constraints into account.

Edition trilingue français-anglais-chinois

From 700 BCE to CE 1300, thousands of scholars from many different civilizations introduced mathematical ideas that established the foundations of arithmetic, number theory, algebra, geometry, and trigonometry, as well as the related sciences of astronomy and physics. Although we know very little about specific individuals who made important mathematical discoveries in Babylonia, Egypt, and China, historians in Greece, India, Arabia, and medieval Italy preserved a more complete record, including the identities of some of the innovators. The Birth of Mathematics profiles 10 individuals from these four cultures during this time period as representatives of the numerous scholars who contributed to the field of mathematics.

This book draws upon a broad spectrum of insights, from experimental psychology to the history of science and linguistics, to advance a rigorous and comprehensive theory of beauty and the aesthetic in mathematics.

An authoritative combined edition of two Steiner-Waldorf math textbooks

This book is about attribute mathematics, in which nothing ever gets bigger or smaller. More specifically, it is about some of what attribute mathematics can do toward the full digitalization of thought and language. The matter is relevant not only directly to linguistics and philosophy but also indirectly to electrical engineering and neuroscience. The twenty-first century will be that of the brain. Human existence will gradually be turned inside out as tools such as genetics and Boolean algebra allow us to see ourselves function on the smallest scale while it is happening.

Versatile and comprehensive in content, this book of problems will appeal to students in nearly all areas of mathematics. The text offers original and advanced problems proposed from 1995 to 2016 at the Mathematics Olympiads. Essential for undergraduate students, PhD students, and instructors, the problems in this book vary in difficulty and cover most of the obligatory courses given at the undergraduate level, including calculus, algebra, geometry, discrete mathematics, measure theory, complex analysis, differential equations, and probability theory. Detailed solutions to all of the problems from Part I are supplied in Part II, giving students the ability to check their solutions and observe new and unexpected ideas. Most of the problems in this book are not technical and allow for a short and elegant solution. The problems given are unique and non-standard; solving the problems requires a creative approach as well as a deep understanding of the material. Nearly all of the problems are originally authored by lecturers, PhD students, senior undergraduates, and graduate students of the mechanics and mathematics faculty of Taras Shevchenko National University of Kyiv as well as by many others from Belgium, Canada, Great Britain, Hungary, and the United States.

The minimax criterion for stability is a sufficient criterion for the motion stability of a mechanical system under the influence of small-amplitude high-frequency parameter oscillations. This criterion allows to find stability conditions of oscillations within a non-stable mechanical system without making motion equations, but instead by way of using only the Lagrangian function L= T – П. Any remarks and recommendations will be appreciated and taken into considerations in the following issues. Please, write to: .

Exam Board: IB Level: MYP Subject: Mathematics First Teaching: September 2016 First Exam: June 2017 A concept-driven and assessment-focused approach to Mathematics teaching and learning. - Approaches each chapter with statements of inquiry framed by key and related concepts, set in a global context - Supports every aspect of assessment using tasks designed by an experienced MYP educator - Differentiates and extends learning with research projects and interdisciplinary opportunities - Applies global contexts in meaningful ways to offer an MYP Mathematics programme with an internationally-minded perspective Rita Bateson was, until very recently, the Curriculum Manager for MYP Mathematics and Sciences at the International Baccalaureate® (IB) and continues to be involved in curriculum review. She is an experienced teacher of MYP and DP Mathematics and Sciences, and is Head of Mathematics in her current school. She has taught in many international schools in Europe as well as North America. Her interest include overcoming mathematics anxiety in pupils and STEM education. She is also the author of MYP by Concept 4&5; Mathematics. Irina Amlin has been an MYP Mathematics educator and department head, the Chair and frequent presenter of the island-wide Bermuda Math Educators' Learning Network, and has been involved in IB curriculum development and assessment activities. Her primary area of focus is illustrating the relevance of mathematics in the everyday world around us, and guiding students to experience its applications across many disciplines. She is also the author of Mathematics for the IB MYP 1: by Concept.

Designed to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises. Most chapters open with a review followed by theoretical and programming exercises, with detailed solutions provided for all problems including programs. Many of the MATLAB exercises are presented as Russian dolls: each question improves and completes the previous program and results are provided to validate the intermediate programs. The book offers useful MATLAB commands, advice on tables, vectors, matrices and basic commands for plotting. It contains material on eigenvalues and eigenvectors and important norms of vectors and matrices including perturbation theory; iterative methods for solving nonlinear and linear equations; polynomial and piecewise polynomial interpolation; Bézier curves; approximations of functions and integrals and more. The last two chapters considers ordinary differential equations including two point boundary value problems, and deal with finite difference methods for some partial differential equations. The format is designed to assist students working alone, with concise Review paragraphs, Math Hint footnotes on the mathematical aspects of a problem and MATLAB Hint footnotes with tips on programming.

From a review of the first edition: This book is suitable for those who lack confidence ... It is particularly useful as a revision guide... Tasks and practical exercises are included throughout the book. Worth buying a copy' - Primary Mathematics This task-driven text emphasizes strategies and processes and is very different from the usual style of mathematics textbooks. For example, algebra is treated as a way of thinking mathematically, rather than merely manipulating symbols. Each of the sections is designed to stand alone so that they can be studied in any order or dipped into as needed. The Second Edition has been updated to meet the needs of anyone wanting to refresh their knowledge and understanding of mathematics to GCSE level. There is an emphasis on learning and doing mathematics, with an expanded section on measures and proportion, and statistics. Trainees and students have reported that the book has not only helped them to raise their knowledge and understanding to the required standard but also greatly improved their mathematical confidence. This is a set book for the Open University Course, 'Ways of Knowing: language, mathematics and science in the early years'.

Modern Mathematics: 1900 to 1950 provides an eye-opening introduction to five historic 20th-century decades by analyzing the advancement of the field through the accomplishments of 10 significant mathematicians. From David Hilbert and Emmy Noether, who introduced the infinite dimensional vector spaces and algebraic rings that bear their names, to Norbert Wiener, the founder of cybernetics, this in-depth volume is an excellent choice for libraries.

With problems from National and International Mathematical Olympiads

Exam Board: IB Level: MYP Subject: Mathematics First Teaching: September 2016 First Exam: June 2017 A concept-driven and assessment-focused approach to Mathematics teaching and learning. - Approaches each chapter with statements of inquiry framed by key and related concepts, set in a global context - Supports every aspect of assessment using tasks designed by an experienced MYP educator - Differentiates and extends learning with research projects and interdisciplinary opportunities - Applies global contexts in meaningful ways to offer an MYP Mathematics programme with an internationally-minded perspective Rita Bateson was, until very recently, the Curriculum Manager for MYP Mathematics and Sciences at the International Baccalaureate® (IB) and continues to be involved in curriculum review. She is an experienced teacher of MYP and DP Mathematics and Sciences, and is Head of Mathematics in her current school. She has taught in many international schools in Europe as well as North America. Her interest include overcoming mathematics anxiety in pupils and STEM education. She is also the author of MYP by Concept 4&5; Mathematics. Irina Amlin has been an MYP Mathematics educator and department head, the Chair and frequent presenter of the island-wide Bermuda Math Educators' Learning Network, and has been involved in IB curriculum development and assessment activities. Her primary area of focus is illustrating the relevance of mathematics in the everyday world around us, and guiding students to experience its applications across many disciplines. She is also the author of Mathematics for the IB MYP 1: by Concept.

Dieser 3. Band der vierbändigen Reihe Höhere Mathematik mit Mathematica setzt den Mathematik-Kurs fort, der mit den ersten beiden Bänden begonnen ist. Nach der dort behandelten Linearen Algebra und ein- und mehrdimensionalen Analysis werden hier zwei der wohl wichtigsten Gebiete für den Praktiker behandelt: Gewöhnliche Differentialgleichungen und Numerik. Die Erklärung der mathematischen Sachverhalte und die Umsetzung in vielen Beispielen mit Mathematica machen es möglich, dass einerseits nicht nur akademische, weil mit geringem Aufwand rechenbare Aufgaben gestellt werden können, andererseits aber auch ein mächtiges Hilfsmittel zur Bewältigung mathematischer Fragestellungen vorgeführt wird. Zwei separate Verzeichnisse zu Sachwörtern und zu Mathematica-Befehlen erleichtern auch das spätere Finden der wichtigen Stichwörter und Befehle. Die zahlreichen Bilder sind Beispiele für die graphischen Fähigkeiten von Mathematica. Die Mathematica-Beispiele sind so aufgebaut, dass sie nicht von einer speziellen Mathematica-Installation oder -Version abhängig sind.

With problems from National and International Mathematical Olympiads

National Curriculum guidelines emphasise knowledge, understanding and skills. The author, an internationally recognised authority, provides teachers with a clear explanation of these principles, and explains the relation between understanding and skills, and describes their application to the teaching of mathematics. The book contains numerous activities to show how mathematics can be learnt in the primary classroom with understanding and enjoyment, including: * formation of mathematical concepts * construction of knowledge * contents and structure of primary mathematics