Improving mathematics

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  • The mathematics students need to learn today is not the same mathematics that their parents and grandparents needed to learn. When today's students become adults, they will face new demands for mathematical proficiency that school mathematics should attempt to anticipate. Moreover, mathematics is a realm no longer restricted to a select few. All young Americans must learn to think mathematically, and they must think mathematically to learn.

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  • The purpose of this book is to bring together readings which explore the culture of learning in a mathematics classroom. These readings show how knowledge of this culture assists teachers and learners to improve the teaching and learning of mathematics and to address concerns of social justice and the need for equity.

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  • Today the United States has the challenge and the opportunity to provide all students with the mathematical knowledge, skills, and confidence they will need in a highly technical world. There is considerable nationwide interest in improving students’ understanding of mathematics, combined with an emerging consensus about the essential elements of mathematics instruction; in addition, research has provided valuable insights into how children learn. Together these factors are opening the way to substantial and enduring progress in school mathematics....

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  • As you will see, the maths shows that the trick will always work if the spectator does what’s expected of them and follows the rules. Mathematically we call the things the spectator must do, like choose different digits and put them in the right order, the constraints. In this trick it’s the presentation (where we say ‘lets make it harder’ and so on) that makes sure these constraints are followed. If we let things go astray and, for example, let the spectator choose digits that were the same we would have a constraint violation and it would upset the maths....

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  • Mathematical Finance Introduction to continuous time Financial Market models Dr. Christian-Oliver Ewald School of Economics and Finance University of St.Andrews Electronic copy of this paper is available at: http://ssrn.com/abstract=976593 .Abstract These are my Lecture Notes for a course in Continuous Time Finance which I taught in the Summer term 2003 at the University of Kaiserslautern. I am aware that the notes are not yet free of error and the manuscrip needs further improvement. I am happy about any comment on the notes. Please send your comments via e-mail to ce16@standrews.ac.uk.

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  • The papers present the results of study on application of rainfall-runoff, channel routing models for improvement and extending forecast lead time and Diffusion Hydrodynamic Model (DHM) for inundation warning of Tra Khuc and Ve river basins. Keywords: Time of concentration Tc, update of forecast errors, flood forecast, inundation warning. 1. Introduction∗ For river basins in the central coastal provinces, the rivers has steep terrain, plains adjacent to the sea are relatively flat, so every year, floods and flash floods caused heavy damage to persons and property of people in the areas.

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  • Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Department of Mathematic dành cho các bạn yêu thích môn toán học đề tài: Improved Upper Bounds for the Laplacian Spectral Radius of a Graph...

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  • The preceding paragraph is not an indictment of application-oriented curricula per se, only of the particular way [N1] wants such a curriculum implemented: it allows the utilitarian impulse to overwhelm the basic ed- ucational mission, with the result that basic ideas and skills not directly related to the so-called real world problems often get left out. By yielding to the temptation of “doing just enough to get the problems solved”, the curriculum of [N1] ends up presenting a fragmented and amorphous version of mathematics.

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  • The term reform-oriented teaching describes a collection of instructional practices that are designed to engage students as active participants in their own learning and to enhance the development of complex cognitive skills and processes. This monograph presents the findings of a multiyear National Science Foundation (NSF)-funded

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  • Stewart's CALCULUS, Fifth Edition has the mathematical precision, accuracy, clarity of exposition and outstanding examples and problem sets that have characterized the first four editions. Stewart retains the focus on problem solving and the pedagogical system that has made the book a favorite of students and instructors in a wide variety of colleges and universities throughout the world.

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  • This book takes a fresh look at programs for advanced studies for high school students in the United States, with a particular focus on the Advanced Placement and the International Baccalaureate programs, and asks how advanced studies can be significantly improved in general. It also examines two of the core issues surrounding these programs: they can have a profound impact on other components of the education system and participation in the programs has become key to admission at selective institutions of higher education.

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  • Although experience with enforcing mandates for health insurance is limited, some lessons can be drawn from other types of enforcement. National compliance rates for certain other mandates—such as provisions requiring that workers receive at least the minimum wage, children be vaccinated, drivers purchase auto insurance and wear seat belts, and people pay taxes—range from 63 percent to 85 percent, and the rates appear to improve as enforcement intensifies (Ashenfelter and Smith, 1979; Davis and Gaglia, 2005; Insurance Research Council, 2006; IRS, 2007; NHTSA, 2008).

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  • This book is an introduction to game theory from a mathematical perspective. It is intended to be a first course for undergraduate students of mathematics, but I also hope that it will contain something of interest to advanced students or researchers in biology and economics who often encounter the basics of game theory informally via relevant applications. In view of the intended audience, the examples used in this book are generally abstract problems so that the reader is not forced to learn a great deal of a subject – either biology or economics – that may be unfamiliar.

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  • This issue of Forced Migration Review is about improving communications between logisticians and programme managers to make such mix-ups a thing of the past. We are grateful to the Fritz Institute for drawing our attention to the importance of humanitarian logistics and for the very generous grant which has made this issue possible. We are deeply indebted to our Guest Editors, Anisya Thomas (Fritz Institute's Managing Director) and Ricardo Ernst (Georgetown University), and to Lynn Fritz for his personal support.

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  • We prove Maruyama’s conjecture on the boundedness of slope semistable sheaves on a projective variety defined over a noetherian ring. Our approach also gives a new proof of the boundedness for varieties defined over a characteristic zero field. This result implies that in mixed characteristic the moduli spaces of Gieseker semistable sheaves are projective schemes of finite type. The proof uses a new inequality bounding slopes of the restriction of a sheaf to a hypersurface in terms of its slope and the discriminant.

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  • The increasing demand on ultra miniturized electronic devices for ever improving performances has led to the necessity of a deep and detailed understanding of the mathematical theory of charge transport in semiconductors.

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  • In this paper we present the solution to a longstanding problem of differential geometry: Lie’s third theorem for Lie algebroids. We show that the integrability problem is controlled by two computable obstructions. As applications we derive, explain and improve the known integrability results, we establish integrability by local Lie groupoids, we clarify the smoothness of the Poisson sigma-model for Poisson manifolds, and we describe other geometrical applications. Contents 0. Introduction

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  • Dedicated to C´sar Camacho for his 60th birthday e Abstract After gluing foliated complex manifolds, we derive a preparation-like theorem for singularities of codimension-one foliations and planar vector fields (in the real or complex setting). Without computation, we retrieve and improve results of Levinson-Moser for functions, Dufour-Zhitomirskii for nondegenerate ˙ codimension-one foliations (proving in turn the analyticity), Str´zyna-Zoladek o˙ ´ for non degenerate planar vector fields and Bruno-Ecalle for saddle-node foliations in the plane. ...

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  • We give an upper bound on the number of extensions of a fixed number field of prescribed degree and discriminant ≤ X; these bounds improve on work of Schmidt. We also prove various related results, such as lower bounds for the number of extensions and upper bounds for Galois extensions.

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  • Annals of Mathematics This is the first in a series of papers whereby we combine the classical approach to exponential Diophantine equations (linear forms in logarithms, Thue equations, etc.) with a modular approach based on some of the ideas of the proof of Fermat’s Last Theorem. In this paper we give new improved bounds for linear forms in three logarithms. We also apply a combination of classical techniques with the modular approach to show that the only perfect powers in the Fibonacci sequence are 0, 1, 8 and 144 and the only perfect powers in the Lucas sequence are 1...

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