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Care in Mathematics Education: Alternative Educational Spaces and Practices (Palgrave Studies in Alternative Education)
by Anne WatsonThis book investigates the process of care in mathematics teaching. The author proposes transformative educational spaces in which learning mathematics, rather than consisting of a repetitive grind of exercises and facts, can become a part of learner identity. This book describes examples of mathematics teachings in a wide range of contexts and pedagogies, coordinated to identify common features where care for mathematical learning and thinking is combined with care for learners. Along with detailing caring mathematics education practices in alternative spaces, the author demonstrates similar practices alive even with the current mainstream spaces of acquisition and performance. Care is integrated through listening, and developing responsive and trusting relationships. It will be of interest to scholars of mathematics education, as well as pre-service and in-service teachers and teacher educators.
Caribbean Primary Mathematics Book 3 6th edition
by Karen MorrisonMake teaching and learning mathematics relevant and enjoyable with the best-known Primary mathematics series in the Caribbean updated and revised for the 21st Century by practising teachers, with a new focus on self-directed learning, problem -solving and raising standards.- Ensure all requirements of primary schools in all Caribbean territories from kindergarten to primary school exit examination level are covered. - Engage students and make maths more relevant with real-life situations used throughout the book, including the front cover, showing Mathematics in action.- Reinforce knowledge and encourage progression with Assessment Bank, available separately to compliment the topics covered in this series.- Encourage students to understand and build their own learning with all key skills and concepts clearly introduced in sequence, demonstrating links between mathematical strands and other curriculum subjects.
Caribbean Primary Mathematics Book 3 6th edition
by Karen MorrisonMake teaching and learning mathematics relevant and enjoyable with the best-known Primary mathematics series in the Caribbean updated and revised for the 21st Century by practising teachers, with a new focus on self-directed learning, problem -solving and raising standards.- Ensure all requirements of primary schools in all Caribbean territories from kindergarten to primary school exit examination level are covered. - Engage students and make maths more relevant with real-life situations used throughout the book, including the front cover, showing Mathematics in action.- Reinforce knowledge and encourage progression with Assessment Bank, available separately to compliment the topics covered in this series.- Encourage students to understand and build their own learning with all key skills and concepts clearly introduced in sequence, demonstrating links between mathematical strands and other curriculum subjects.
Caribbean Primary Mathematics Book 4 6th edition
by Karen MorrisonMake teaching and learning mathematics relevant and enjoyable with the best-known Primary mathematics series in the Caribbean updated and revised for the 21st Century by practising teachers, with a new focus on self-directed learning, problem -solving and raising standards. - Ensure all requirements of primary schools in all Caribbean territories from kindergarten to primary school exit examination level are covered. - Engage students and make maths more relevant with real-life situations used throughout the book, including the front cover, showing Mathematics in action.- Reinforce knowledge and encourage progression with Assessment Bank, available separately to compliment the topics covered in this series.- Encourage students to understand and build their own learning with all key skills and concepts clearly introduced in sequence, demonstrating links between mathematical strands and other curriculum subjects.
Caribbean Primary Mathematics Book 4 6th edition
by Karen MorrisonMake teaching and learning mathematics relevant and enjoyable with the best-known Primary mathematics series in the Caribbean updated and revised for the 21st Century by practising teachers, with a new focus on self-directed learning, problem -solving and raising standards. - Ensure all requirements of primary schools in all Caribbean territories from kindergarten to primary school exit examination level are covered. - Engage students and make maths more relevant with real-life situations used throughout the book, including the front cover, showing Mathematics in action.- Reinforce knowledge and encourage progression with Assessment Bank, available separately to compliment the topics covered in this series.- Encourage students to understand and build their own learning with all key skills and concepts clearly introduced in sequence, demonstrating links between mathematical strands and other curriculum subjects.
Caribbean Primary Mathematics Book 5 6th edition
by Karen MorrisonMake teaching and learning mathematics relevant and enjoyable with the best-known Primary mathematics series in the Caribbean updated and revised for the 21st Century by practising teachers, with a new focus on self-directed learning, problem-solving and raising standards. - Ensure all requirements of primary schools in all Caribbean territories from kindergarten to primary school exit examination level are covered. - Engage students and make maths more relevant with real-life situations used throughout the book, including the front cover, showing Mathematics in action.- Reinforce knowledge and encourage progression with Assessment Bank, available separately to compliment the topics covered in this series.- Encourage students to understand and build their own learning with all key skills and concepts clearly introduced in sequence, demonstrating links between mathematical strands and other curriculum subjects.
Caribbean Primary Mathematics Book 5 6th edition
by Karen MorrisonMake teaching and learning mathematics relevant and enjoyable with the best-known Primary mathematics series in the Caribbean updated and revised for the 21st Century by practising teachers, with a new focus on self-directed learning, problem-solving and raising standards. - Ensure all requirements of primary schools in all Caribbean territories from kindergarten to primary school exit examination level are covered. - Engage students and make maths more relevant with real-life situations used throughout the book, including the front cover, showing Mathematics in action.- Reinforce knowledge and encourage progression with Assessment Bank, available separately to compliment the topics covered in this series.- Encourage students to understand and build their own learning with all key skills and concepts clearly introduced in sequence, demonstrating links between mathematical strands and other curriculum subjects.
Caribbean Primary Mathematics Book 6 6th edition
by Karen MorrisonMake teaching and learning mathematics relevant and enjoyable with the best-known Primary mathematics series in the Caribbean updated and revised for the 21st Century by practising teachers, with a new focus on self-directed learning, problem-solving and raising standards. - Ensure all requirements of primary schools in all Caribbean territories from kindergarten to primary school exit examination level are covered. - Engage students and make maths more relevant with real-life situations used throughout the book, including the front cover, showing Mathematics in action.- Reinforce knowledge and encourage progression with Assessment Bank, available separately to compliment the topics covered in this series.- Encourage students to understand and build their own learning with all key skills and concepts clearly introduced in sequence, demonstrating links between mathematical strands and other curriculum subjects.
Caribbean Primary Mathematics Book 6 6th edition
by Karen MorrisonMake teaching and learning mathematics relevant and enjoyable with the best-known Primary mathematics series in the Caribbean updated and revised for the 21st Century by practising teachers, with a new focus on self-directed learning, problem-solving and raising standards. - Ensure all requirements of primary schools in all Caribbean territories from kindergarten to primary school exit examination level are covered. - Engage students and make maths more relevant with real-life situations used throughout the book, including the front cover, showing Mathematics in action.- Reinforce knowledge and encourage progression with Assessment Bank, available separately to compliment the topics covered in this series.- Encourage students to understand and build their own learning with all key skills and concepts clearly introduced in sequence, demonstrating links between mathematical strands and other curriculum subjects.
Caribbean Primary Mathematics Workbook 4 6th edition
by Karen MorrisonThe best-known Primary Mathematics series in the Caribbean, updated and revised for the 21st Century. Practise and reinforce learning from the Student's Book, with fun and inspiring additional exercises. - Focus on self-directed learning, problem-solving and raising standards with a series updated by practising teachers. - Engage students and make maths more relevant with real-life situations, showing Mathematics in daily life.- Encourage students to understand and build their own learning with reinforcement exercises for all key skills and concepts.
Caribbean Primary Mathematics Workbook 5 6th edition
by Karen MorrisonThe best-known Primary Mathematics series in the Caribbean, updated and revised for the 21st Century. Practise and reinforce learning from the Student's Book, with fun and inspiring additional exercises. - Focus on self-directed learning, problem-solving and raising standards with a series updated by practising teachers. - Engage students and make maths more relevant with real-life situations, showing Mathematics in daily life.- Encourage students to understand and build their own learning with reinforcement exercises for all key skills and concepts.
Caribbean Primary Mathematics Workbook 6 6th edition
by Karen MorrisonThe best-known Primary Mathematics series in the Caribbean, updated and revised for the 21st Century. Practise and reinforce learning from the Student's Book, with fun and inspiring additional exercises. - Focus on self-directed learning, problem-solving and raising standards with a series updated by practising teachers. - Engage students and make maths more relevant with real-life situations, showing Mathematics in daily life.- Encourage students to understand and build their own learning with reinforcement exercises for all key skills and concepts.
Carl Adam Petri: Life and Science
by Einar SmithThe book presents the life and works of one of Germany's most famous computer scientists, Carl Adam Petri. It is written in a vivid and entertaining manner, providing an in-depth discussion of the background behind Petri's best-known contribution to computer science, the Petri net. In this way the book can be read as a first introduction to nets, but it also covers the theoretical, physical and philosophical foundations behind nets, thus facilitating a comprehensive understanding of the wider range of Petri's works. The book is intended for readers with a previous knowledge in computer science, as well as for "interested non-professionals", who want to get to know a remarkable personality of contemporary science.
Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems (Springer Monographs in Mathematics)
by Mourad Bellassoued Masahiro YamamotoThis book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions. The formulation is different from that of Dirichlet-to-Neumann maps and can often prove the global uniqueness and Lipschitz stability even with a single measurement. These types of inverse problems include coefficient inverse problems of determining physical parameters in inhomogeneous media that appear in many applications related to electromagnetism, elasticity, and related phenomena. Although the methodology was created in 1981 by Bukhgeim and Klibanov, its comprehensive development has been accomplished only recently. In spite of the wide applicability of the method, there are few monographs focusing on combined accounts of Carleman estimates and applications to inverse problems. The aim in this book is to fill that gap. The basic tool is Carleman estimates, the theory of which has been established within a very general framework, so that the method using Carleman estimates for inverse problems is misunderstood as being very difficult. The main purpose of the book is to provide an accessible approach to the methodology. To accomplish that goal, the authors include a direct derivation of Carleman estimates, the derivation being based essentially on elementary calculus working flexibly for various equations. Because the inverse problem depends heavily on respective equations, too general and abstract an approach may not be balanced. Thus a direct and concrete means was chosen not only because it is friendly to readers but also is much more relevant. By practical necessity, there is surely a wide range of inverse problems and the method delineated here can solve them. The intention is for readers to learn that method and then apply it to solving new inverse problems.
Carleman Estimates for Second Order Partial Differential Operators and Applications: A Unified Approach (SpringerBriefs in Mathematics)
by Qi Lü Xu Zhang Xiaoyu FuThis book provides a brief, self-contained introduction to Carleman estimates for three typical second order partial differential equations, namely elliptic, parabolic, and hyperbolic equations, and their typical applications in control, unique continuation, and inverse problems. There are three particularly important and novel features of the book. First, only some basic calculus is needed in order to obtain the main results presented, though some elementary knowledge of functional analysis and partial differential equations will be helpful in understanding them. Second, all Carleman estimates in the book are derived from a fundamental identity for a second order partial differential operator; the only difference is the choice of weight functions. Third, only rather weak smoothness and/or integrability conditions are needed for the coefficients appearing in the equations. Carleman Estimates for Second Order Partial Differential Operators and Applications will be of interest to all researchers in the field.
Carleman Inequalities: An Introduction and More (Grundlehren der mathematischen Wissenschaften #353)
by Nicolas LernerOver the past 25 years, Carleman estimates have become an essential tool in several areas related to partial differential equations such as control theory, inverse problems, or fluid mechanics. This book provides a detailed exposition of the basic techniques of Carleman Inequalities, driven by applications to various questions of unique continuation.Beginning with an elementary introduction to the topic, including examples accessible to readers without prior knowledge of advanced mathematics, the book's first five chapters contain a thorough exposition of the most classical results, such as Calderón's and Hörmander's theorems. Later chapters explore a selection of results of the last four decades around the themes of continuation for elliptic equations, with the Jerison-Kenig estimates for strong unique continuation, counterexamples to Cauchy uniqueness of Cohen and Alinhac & Baouendi, operators with partially analytic coefficients with intermediate results between Holmgren's and Hörmander's uniqueness theorems, Wolff's modification of Carleman's method, conditional pseudo-convexity, and more.With examples and special cases motivating the general theory, as well as appendices on mathematical background, this monograph provides an accessible, self-contained basic reference on the subject, including a selection of the developments of the past thirty years in unique continuation.
Cartan Geometries and their Symmetries: A Lie Algebroid Approach (Atlantis Studies in Variational Geometry #4)
by Mike Crampin David SaundersIn this book we first review the ideas of Lie groupoid and Lie algebroid, and the associated concepts of connection. We next consider Lie groupoids of fibre morphisms of a fibre bundle, and the connections on such groupoids together with their symmetries. We also see how the infinitesimal approach, using Lie algebroids rather than Lie groupoids, and in particular using Lie algebroids of vector fields along the projection of the fibre bundle, may be of benefit. We then introduce Cartan geometries, together with a number of tools we shall use to study them. We take, as particular examples, the four classical types of geometry: affine, projective, Riemannian and conformal geometry. We also see how our approach can start to fit into a more general theory. Finally, we specialize to the geometries (affine and projective) associated with path spaces and geodesics, and consider their symmetries and other properties.
Cartesian CFD Methods for Complex Applications (SEMA SIMAI Springer Series #3)
by Ralf Deiterding Margarete Oliveira Domingues Kai SchneiderThis volume collects the most important contributions from four minisymposia from ICIAM 2019. The papers highlight cutting-edge applications of Cartesian CFD methods and describe the employed algorithms and numerical schemes. An emphasis is laid on complex multi-physics applications like magnetohydrodynamics, combustion, aerodynamics with fluid-structure interaction, solved with various discretizations, e.g. finite difference, finite volume, multiresolution or lattice Boltzmann CFD schemes. Software design aspects and parallelization challenges are also considered. The book is addressed to graduate students and scientists in the fields of applied mathematics and computational engineering.
Cartesian Tensors: An Introduction (Dover Books on Mathematics)
by G. TempleThis undergraduate text provides an introduction to the theory of Cartesian tensors, defining tensors as multilinear functions of direction, and simplifying many theorems in a manner that lends unity to the subject. The author notes the importance of the analysis of the structure of tensors in terms of spectral sets of projection operators as part of the very substance of quantum theory. He therefore provides an elementary discussion of the subject, in addition to a view of isotropic tensors and spinor analysis within the confines of Euclidean space. The text concludes with an examination of tensors in orthogonal curvilinear coordinates. Numerous examples illustrate the general theory and indicate certain extensions and applications. 1960 edition.
Cartoon Guide to Statistics Apple FF
by Larry Gonick Woollcott SmithIf you have ever looked for P-values by shopping at P mart, tried to watch the Bernoulli Trails on "People's Court," or think that the standard deviation is a criminal offense in six states, then you need The Cartoon Guide to Statistics to put you on the road to statistical literacy.The Cartoon Guide to Statistics covers all the central ideas of modern statistics: the summary and display of data, probability in gambling and medicine, random variables, Bernoulli Trails, the Central Limit Theorem, hypothesis testing, confidence interval estimation, and much more—all explained in simple, clear, and yes, funny illustrations. Never again will you order the Poisson Distribution in a French restaurant!This updated version features all new material.
Casanova's Lottery: The History of a Revolutionary Game of Chance
by Stephen M. StiglerThe fascinating story of an important lottery that flourished in France from 1757 to 1836 and its role in transforming our understanding of the nature of risk. In the 1750s, at the urging of famed adventurer Giacomo Casanova, the French state began to embrace risk in adopting a new Loterie. The prize amounts paid varied, depending on the number of tickets bought and the amount of the bet, as determined by each individual bettor. The state could lose money on any individual Loterie drawing while being statistically guaranteed to come out on top in the long run. In adopting this framework, the French state took on risk in a way no other has, before or after. At each drawing the state was at risk of losing a large amount; what is more, that risk was precisely calculable, generally well understood, and yet taken on by the state with little more than a mathematical theory to protect it. Stephen M. Stigler follows the Loterie from its curious inception through its hiatus during the French Revolution, its renewal and expansion in 1797, and finally to its suppression in 1836, examining throughout the wider question of how members of the public came to trust in new financial technologies and believe in their value. Drawing from an extensive collection of rare ephemera, Stigler pieces together the Loterie’s remarkable inner workings, as well as its implications for the nature of risk and the role of lotteries in social life over the period 1700–1950. Both a fun read and fodder for many fields, Casanova's Lottery shines new light on the conscious introduction of risk into the management of a nation-state and the rationality of playing unfair games.