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This book discusses the relationships between mathematical creativity and mathematical giftedness. It gathers the results of a literature review comprising all papers addressing mathematical creativity and giftedness presented at the International Congress on Mathematical Education (ICME) conferences since 2000. How can mathematical creativity contribute to children's balanced development? What are the characteristics of mathematical giftedness in early ages? What about these characteristics at university level? What teaching strategies can enhance creative learning? How can young children's mathematical promise be preserved and cultivated, preparing them for a variety of professions? These are some of the questions addressed by this book. The book offers, among others: analyses of substantial learning environments that promote creativity in mathematics lessons; discussions of a variety of strategies for posing and solving problems; investigations of students' progress throughout their schooling; and examinations of technological tools and virtual resources meant to enhance learning with understanding. Multiple perspectives in the interdisciplinary fields of mathematical creativity and giftedness are developed to offer a springboard for further research. The theoretical and empirical studies included in the book offer a valuable resource for researchers, as well as for teachers of gifted students in specialized or inclusive settings, at various levels of education.

Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.

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.

This second edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems, and fresh applications to areas seldom touched on in textbooks on real analysis. The main difference between the second and first editions is the addition of a series of appendices to each volume. There are six of them in the first volume and five in the second. The subjects of these appendices are diverse. They are meant to be useful to both students (in mathematics and physics) and teachers, who may be motivated by different goals. Some of the appendices are surveys, both prospective and retrospective. The final survey establishes important conceptual connections between analysis and other parts of mathematics. The first volume constitutes a complete course in one-variable calculus along with the multivariable differential calculus elucidated in an up-to-date, clear manner, with a pleasant geometric and natural sciences flavor.

How do children relate to numbers and mathematics? How can they be helped to understand and make sense of them? People are rarely ambivalent towards mathematics, having either a love or hate relationship with the subject, and our approach to it is influenced by a variety of factors. How we are taught mathematics as children plays a big role in our feelings towards it. Numbers play a large part in our lives, and it is therefore beneficial to inspire a positive attitude towards them at a young age. With contributors comprised of teachers, teacher educators, mathematicians and psychologists, Mathematical Misconceptions brings together information about pupils' work from four different countries, and looks at how children, from the ages of 3 - 11, think about numbers and use them. It explores the reasons for their successes, misunderstandings and misconceptions, while also broadening the reader's own mathematical knowledge. Chapters explore: - the seemingly paradoxical number zero - the concept of equality - children's perceptions and misconceptions of adding, subtracting, multiplying and dividing - the learning process - the ways in which children acquire number concepts. This unique book will transform the way in which primary school teachers think about mathematics. Fascinating reading for anyone working with children of this age, it will be of particular interest to teachers, trainee teachers and teaching assistants. It will show them how to engage children in the mysteries and delights of numbers.

Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.

This softcover edition of a very popular work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds, Fourier, Laplace, and Legendre transforms, elliptic functions and distributions.

By presenting problem solving in purposeful and meaningful contexts, Mathematical Excursions, 2/e, provides students in the Liberal Arts course with a glimpse into the nature of mathematics and how it is used to understand our world. Highlights of the book include the proven Aufmann Interactive Method and multi-part Excursion exercises that emphasize collaborative learning. An extensive technology program provides instructors and students with a comprehensive set of support tools.

Closely matches the new AQA specification, with separate sections for compulsory units and optional pathways.

This volume contains review articles and original results obtained in various fields of modern science using mathematical simulation methods. The basis of the articles are the plenary and some section reports that were made and discussed at the Fourth International Mathematical Simulation Conference, held in Moscow on June 27 through July 1, 2000. The conference was devoted to the following scientific areas: - mathematical and computer discrete systems models; - non-linear excitation in condensed media; - complex systems evolution; - mathematical models in economics; - non-equilibrium processes kinematics; - dynamics and structure of the molecular and biomolecular systems; - mathematical transfer models in non-linear systems; - numerical simulation and algorithms; - turbulence and determined chaos; - chemical physics of polymer. This conference was supported by the Russian Ministry of Education, Russian foundation for Basic Research and Federal Program Integration. This volume contains the following sections: 1. models of non-linear phenomena in physics; 2. numerical methods and computer simulations; 3. mathematical computer models of discrete systems; 4. mathematical models in economics; 5. non-linear models in chemical physics and physical chemistry; 6. mathematical models of transport processes in complex systems. In Sections One and Five a number of fundamental and sufficiently general problems, concerning real physical and physical-chemical systems simulation, is discussed.

Mathematical cavalcade follow the very successful Amazing Mathematical Amusement Arcade and The Mathematical Funfair by the same author. It contains a further 131 puzzles to challenge people of all ages. Hints and solutions are given in a commentary at the back of the book.

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

This volume brings to the forefront some of the proponents of the mathematics of the twentieth century who have put at our disposal new and powerful instruments for investigating the reality around us. The portraits present impressive and passionate people.

This book contains more than 150 games, puzzles and investigations designed to motivate everyone interested in mathematics. Many of the activities encourage creative thinking and practical work. The book provides a resource of ideas for all those concerned with mathematical education.

Gear up to crush the GED Mathematical Test Does the thought of taking the GED Mathematical Reasoning Test make you weak? Fear not! With the help of GED Mathematical Reasoning Test For Dummies, you'll get up to speed on the new structure and computer-based format of the GED and gain the confidence and know-how to make the Mathematical Reasoning Test your minion. Packed with helpful guidance and instruction, this hands-on test-prep guide covers the concepts covered on the GED Mathematical Reasoning Test and gives you ample practice opportunities to assess your understanding of number operations/number sense, measurement and geometry, data, statistics, and probability, and algebra, functions, and patterns. Now a grueling 115 minutes long, the new Mathematical Reasoning section of the GED includes multiple choice, fill-in-the-blank, hot-spot, drop-down, and drag-and-drop questions--which can prove to be quite intimidating for the uninitiated. Luckily, this fun and accessible guide breaks down each section of the exam and the types of questions you'll encounter into easily digestible parts, making everything you'll come across on exam day feel like a breeze! Inside, you'll find methods to sharpen your math skills, tips on how to approach GED Mathematical Reasoning question types and formats, practice questions and study exercises, and a full-length practice test to help you pinpoint where you need more study help. * Presents reviews of the GED Mathematical Reasoning test question types and basic computer skills * Offers practice questions assessing work-place related and academic-based math skills * Includes one full-length GED Mathematical Reasoning practice test * Provides scoring guidelines and detailed answer explanations Even if math has always made you mad, GED Mathematical Reasoning Test For Dummies makes it easy to pass this crucial exam and obtain your hard-earned graduate equivalency diploma.

Thiscollection presents significant contributions from an international network project on mathematicalcultures, including essays from leading scholars in the history and philosophyof mathematics and mathematics education. Mathematicshas universal standards of validity. Nevertheless, there are local styles inmathematical research and teaching, and great variation in the place ofmathematics in the larger cultures that mathematical practitioners belong to.The reflections on mathematical cultures collected in this book are of interestto mathematicians, philosophers, historians, sociologists, cognitive scientistsand mathematics educators.

Supporting the student throughout the Mathematical Studies course, this book includes numerous examples and opportunities for practice. Students are encouraged to understand the historical and cultural background to the subjects and examples and activities drawn from around the world will aid students in developing an international perspective. Authors are experienced examiners Provides opportunities for discussion and creativity Exam and Extended Essay advice is offered Guidance and support is provided for the Mathematical Studies project

Supporting the student throughout the Mathematical Studies course, this book includes numerous examples and opportunities for practice. Students are encouraged to understand the historical and cultural background to the subjects and examples and activities drawn from around the world will aid students in developing an international perspective. Authors are experienced examiners Provides opportunities for discussion and creativity Exam and Extended Essay advice is offered Guidance and support is provided for the Mathematical Studies project

In the book, the relationship between affect and modeling is discussed because, as educational psychologists have suggested for decades, affect directly influences achievement. Moreover, given the importance of mathematical modeling and the applications to high level mathematics, it provides the field of mathematics psychology with insight regarding affect, in relation to mathematical modeling. By doing so it helps determine the degree to which understanding of mathematics and understanding affect in mathematical modeling episodes may have a direct effect on cognition.

Mathematical Finance is a prolific scientific domain in which there exists a particular characteristic of developing both advanced theories and practical techniques simultaneously. Mathematical Modelling and Numerical Methods in Finance addresses the three most importants aspects in the field: mathematical models, computational methods, and applications and provides a solid overview of major new ideas and results in the three domains. Coverage of all aspects of quantitative finance including models, computational methods and applications Provides an overview of new ideas and results Contributors are leaders of the field