The Nature and Role of Algebra in the K-14 Curriculum

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Publisher : National Academies Press
ISBN 13 : 0309522455
Total Pages : 206 pages
Book Rating : 4.3/5 (95 download)

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Book Synopsis The Nature and Role of Algebra in the K-14 Curriculum by : Center for Science, Mathematics, and Engineering Education

Download or read book The Nature and Role of Algebra in the K-14 Curriculum written by Center for Science, Mathematics, and Engineering Education and published by National Academies Press. This book was released on 1998-10-07 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the 1989 release of Everybody Counts by the Mathematical Sciences Education Board (MSEB) of the National Research Council and the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM), the "standards movement" in K-12 education was launched. Since that time, the MSEB and the NCTM have remained committed to deepening the public debate, discourse, and understanding of the principles and implications of standards-based reform. One of the main tenets in the NCTM Standards is commitment to providing high-quality mathematical experiences to all students. Another feature of the Standards is emphasis on development of specific mathematical topics across the grades. In particular, the Standards emphasize the importance of algebraic thinking as an essential strand in the elementary school curriculum. Issues related to school algebra are pivotal in many ways. Traditionally, algebra in high school or earlier has been considered a gatekeeper, critical to participation in postsecondary education, especially for minority students. Yet, as traditionally taught, first-year algebra courses have been characterized as an unmitigated disaster for most students. There have been many shifts in the algebra curriculum in schools within recent years. Some of these have been successful first steps in increasing enrollment in algebra and in broadening the scope of the algebra curriculum. Others have compounded existing problems. Algebra is not yet conceived of as a K-14 subject. Issues of opportunity and equity persist. Because there is no one answer to the dilemma of how to deal with algebra, making progress requires sustained dialogue, experimentation, reflection, and communication of ideas and practices at both the local and national levels. As an initial step in moving from national-level dialogue and speculations to concerted local and state level work on the role of algebra in the curriculum, the MSEB and the NCTM co-sponsored a national symposium, "The Nature and Role of Algebra in the K-14 Curriculum," on May 27 and 28, 1997, at the National Academy of Sciences in Washington, D.C.

Crossroads in Mathematics

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Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Crossroads in Mathematics by : Standards for Introductory College Mathematics Project (U.S.)

Download or read book Crossroads in Mathematics written by Standards for Introductory College Mathematics Project (U.S.) and published by . This book was released on 1995 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended to improve mathematics education at two-year colleges and other institutions offering lower division courses as well as to encourage more students to study mathematics, this publication presents the American Mathematical Association of Two-Year Colleges' (AMATYC's) standards for revitalizing the pre-calculus mathematics curriculum and stimulating changes in instructional methods. Following introductory sections, chapter 1 describes the goals and basic principles underlying the document, while chapter 2 presents standards for introductory college mathematics including seven standards related to intellectual development, seven related to curriculum content, and five related to pedagogy. This chapter also provides charts of guidelines for achieving the standards. Chapter 3 addresses issues of content and pedagogy related to the interpretation of the standards in the areas of mathematics foundation-building courses, technical programs, mathematics-intensive programs, liberal arts programs, and programs for prospective teachers. Chapter 4 reviews implications of the standards for faculty development and other departmental considerations; advising and placement; laboratory and learning center facilities; the use of technology; assessment of student outcomes; program evaluation; and articulation with high schools, other colleges and universities, and employers. Finally, chapter 5 covers implementation, including institutional recommendations, the role of professional organizations, proposed regional workshops, and the development of materials, while chapter 6 provides concluding remarks. (Contains 78 references.) (Sample math problems based on the standards are appended.) (KP)

Anagram Solver

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Publisher : Bloomsbury Publishing
ISBN 13 : 1408102579
Total Pages : 719 pages
Book Rating : 4.4/5 (81 download)

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Book Synopsis Anagram Solver by : Bloomsbury Publishing

Download or read book Anagram Solver written by Bloomsbury Publishing and published by Bloomsbury Publishing. This book was released on 2009-01-01 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anagram Solver is the essential guide to cracking all types of quiz and crossword featuring anagrams. Containing over 200,000 words and phrases, Anagram Solver includes plural noun forms, palindromes, idioms, first names and all parts of speech. Anagrams are grouped by the number of letters they contain with the letters set out in alphabetical order so that once the letters of an anagram are arranged alphabetically, finding the solution is as easy as locating the word in a dictionary.

Ecological Economics and Sustainable Development

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Publisher : Edward Elgar Publishing
ISBN 13 : 1847206948
Total Pages : 281 pages
Book Rating : 4.8/5 (472 download)

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Book Synopsis Ecological Economics and Sustainable Development by : Herman E. Daly

Download or read book Ecological Economics and Sustainable Development written by Herman E. Daly and published by Edward Elgar Publishing. This book was released on 2007 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This clear-thinking collection brings together 25 of Daly s essays, speeches, reviews and testimonials from the past decade. . . as a whole they provide a useful masterclass on the principles of ecological economics. Daly s vision, as well as his frustration with mainstream economists refusal to engage with his arguments, comes through loud and clear. New Scientist It s hard to imagine ecological economics without the numerous and profound contributions of Herman Daly. These papers reveal the consistency of his analysis and clarity of exposition that have made him one of the most influential economists of his generation. Because of Herman Daly we have a much better understanding of how economies relate to the environment, why so much is wrong with this relationship and what must be done to fix it. Peter Victor, York University, Canada This thrilling compilation outlines the origins of the young discipline of ecological economics by the intellectual leader of the movement, Herman Daly. He recounts how, as a member of the recently demoted environment department at the World Bank, he integrated ecology with economics during his six years in the bowels of the beast. Herman lucidly and compellingly combines common sense with profound understanding of both economics and ecology to arrive at sustainable solutions to the global problematique. Herman s rigorous yet compassionate solutions to climate change, peak oil, globalization vs. internationalization, poverty reduction, and the unsung concept of scale leading to uneconomic growth, are precisely what we need to prevent the current liquidation of our beautiful world. This book will galvanize you into the action we need so much. Robert Goodland, Environmental adviser, World Bank Group, 1978 2001 In this book, written in crystal clear style, Herman Daly reiterates the main points of his analysis and vision, he praises some teachers (John Ruskin, Frederick Soddy, Nicholas Georgescu-Roegen, Kenneth Boulding), he fearlessly attacks some adversaries in the World Bank and MIT, and he offers some advice to the government of his own country, to the Russian Duma, and especially to OPEC that, if followed, would change the world very much for the better. Finally, on a different line of thought, he interrogates conservation biologists on their reasons for wanting to keep biodiversity since, as biologists, they claim that evolution has no particular purpose. Why not let the Sixth Great Extinction run its course? In other words, science cannot provide an ethics of conservation, which Herman Daly finds in religion more than in democratization deliberations. Joan Martinez-Alier, Universitat Autonòma de Barcelona, Spain Ecological Economics and Sustainable Development comprises a carefully chosen selection of some 25 articles, speeches, congressional testimonies, reviews, and critiques from the last ten years of Herman Daly s ever-illuminating work. This book seeks to identify the blind spots and errors in standard growth economics, alongside the corrections that ecological economics offers to better guide us toward a sustainable economy one with deeper biophysical and ethical roots. Under the general heading of sustainability and ecological economics, many specific topics are here brought into relation with each other. These include: limits to growth; full-world versus empty-world economics; uneconomic growth; definitions of sustainability; peak oil; steady-state economics; allocation versus distribution versus scale issues; non-enclosure of rival goods and enclosure of non-rival goods; production functions and the laws of thermodynamics; OPEC and Kyoto; involuntary resettlement and development; resource versus value-added taxation; globalization versus internationalization; immigration; climate change; and the philosophical presuppositions of policy, including the policies suggested in connection with the topics above. This fascinating work will appeal to scholars and academics of ecol

Green's Functions and Linear Differential Equations

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Publisher : CRC Press
ISBN 13 : 1439840091
Total Pages : 376 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Green's Functions and Linear Differential Equations by : Prem K. Kythe

Download or read book Green's Functions and Linear Differential Equations written by Prem K. Kythe and published by CRC Press. This book was released on 2011-01-21 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Green's Functions and Linear Differential Equations: Theory, Applications, and Computation presents a variety of methods to solve linear ordinary differential equations (ODEs) and partial differential equations (PDEs). The text provides a sufficient theoretical basis to understand Green's function method, which is used to solve initial and boundary

The Math Problems Notebook

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645462
Total Pages : 234 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis The Math Problems Notebook by : Valentin Boju

Download or read book The Math Problems Notebook written by Valentin Boju and published by Springer Science & Business Media. This book was released on 2007-08-22 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a collection of non-trivial, unconventional problems that require deep insight and imagination to solve. They cover many topics, including number theory, algebra, combinatorics, geometry and analysis. The problems start as simple exercises and become more difficult as the reader progresses through the book to become challenging enough even for the experienced problem solver. The introductory problems focus on the basic methods and tools while the advanced problems aim to develop problem solving techniques and intuition as well as promote further research in the area. Solutions are included for each problem.

Moving Beyond Myths

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Publisher : National Academies Press
ISBN 13 : 0309044898
Total Pages : 76 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Moving Beyond Myths by : National Research Council

Download or read book Moving Beyond Myths written by National Research Council and published by National Academies Press. This book was released on 1991-02-01 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the next decade, the mathematical community and the nation's colleges and unversities must restructure fundamentally the culture, content, and context of undergraduate mathematics. Acknowledging the weaknesses in the present college mathematics curriculum and the ways in which it is taught, this book cites exemplary programs that point the way toward achieving the same world-wide preeminence for mathematics education that the United States enjoys in mathematical research. Moving Beyond Myths sets forth ambitious goals for collegiate mathematics by the year 2000 and provides a sweeping plan of action to accomplish them. It calls on mathematics faculty, their departments, their professional societies, colleges and universities, and government agencies to do their parts to implement the plan, help the public move beyond commonly held myths about mathematics, and bring about a revitalization of undergraduate mathematics.

Symbolic Dynamics and its Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821851462
Total Pages : 472 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Symbolic Dynamics and its Applications by : Peter Walters

Download or read book Symbolic Dynamics and its Applications written by Peter Walters and published by American Mathematical Soc.. This book was released on 1992 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference, Symbolic Dynamics and its Applications, held at Yale University in the summer of 1991 in honour of Roy L. Adler on his sixtieth birthday. The conference focused on symbolic dynamics and its applications to other fields, including: ergodic theory, smooth dynamical systems, information theory, automata theory, and statistical mechanics. Featuring a range of contributions from some of the leaders in the field, this volume presents an excellent overview of the subject.

Mathematical Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644148
Total Pages : 399 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Mathematical Analysis by : Mariano Giaquinta

Download or read book Mathematical Analysis written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2012-08-31 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Embraces a broad range of topics in analysis requiring only a sound knowledge of calculus and the functions of one variable. * Filled with beautiful illustrations, examples, exercises at the end of each chapter, and a comprehensive index.

Principles of Terrestrial Ecosystem Ecology

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Publisher : Springer Science & Business Media
ISBN 13 : 0387216634
Total Pages : 449 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Principles of Terrestrial Ecosystem Ecology by : F Stuart Chapin III

Download or read book Principles of Terrestrial Ecosystem Ecology written by F Stuart Chapin III and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features review questions at the end of each chapter; Includes suggestions for recommended reading; Provides a glossary of ecological terms; Has a wide audience as a textbook for advanced undergraduate students, graduate students and as a reference for practicing scientists from a wide array of disciplines

Automorphic Forms, Representations and $L$-Functions

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Publisher : American Mathematical Soc.
ISBN 13 : 0821814370
Total Pages : 394 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Automorphic Forms, Representations and $L$-Functions by : Armand Borel

Download or read book Automorphic Forms, Representations and $L$-Functions written by Armand Borel and published by American Mathematical Soc.. This book was released on 1979-06-30 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions

Resolution of Curve and Surface Singularities in Characteristic Zero

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Publisher : Springer Science & Business Media
ISBN 13 : 1402020295
Total Pages : 506 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Resolution of Curve and Surface Singularities in Characteristic Zero by : K. Kiyek

Download or read book Resolution of Curve and Surface Singularities in Characteristic Zero written by K. Kiyek and published by Springer Science & Business Media. This book was released on 2012-09-11 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . . , m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ ~ "r. (r. _ 1) P 2 2 L. . ,. •• . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities? The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it • To solve the problem, it is enough to consider a special kind of Cremona trans formations, namely quadratic transformations of the projective plane. Let ~ be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A ; U}.

Theoretical and Observational Cosmology

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792359456
Total Pages : 428 pages
Book Rating : 4.3/5 (594 download)

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Book Synopsis Theoretical and Observational Cosmology by : Marc Lachièze-Rey

Download or read book Theoretical and Observational Cosmology written by Marc Lachièze-Rey and published by Springer Science & Business Media. This book was released on 1999-09-30 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute, held in Cargèse, France from 17-29 August 1998

Moments in Mathematics

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821801147
Total Pages : 170 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Moments in Mathematics by : Henry J. Landau

Download or read book Moments in Mathematics written by Henry J. Landau and published by American Mathematical Soc.. This book was released on 1987 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Function theory, spectral decomposition of operators, probability, approximation, electrical and mechanical inverse problems, prediction of stochastic processes, the design of algorithms for signal-processing VLSI chips--these are among a host of important theoretical and applied topics illuminated by the classical moment problem. To survey some of these ramifications and the research which derives from them, the AMS sponsored the Short Course Moments in Mathematics at the Joint Mathematics Meetings, held in San Antonio, Texas, in January 1987. This volume contains the six lectures presented during that course. The papers are likely to find a wide audience, for they are expository, but nevertheless lead the reader to topics of current research. In his paper, Henry J. Landau sketches the main ideas of past work related to the moment problem by such mathematicians as Caratheodory, Herglotz, Schur, Riesz, and Krein and describes the way the moment problem has interconnected so many diverse areas of research. J. H. B. Kemperman examines the moment problem from a geometric viewpoint which involves a certain natural duality method and leads to interesting applications in linear programming, measure theory, and dilations. Donald Sarason first provides a brief review of the theory of unbounded self-adjoint operators then goes on to sketch the operator-theoretic treatment of the Hamburger problem and to discuss Hankel operators, the Adamjan-Arov-Krein approach, and the theory of unitary dilations. Exploring the interplay of trigonometric moment problems and signal processing, Thomas Kailath describes the role of Szego polynomials in linear predictive coding methods, parallel implementation, one-dimensional inverse scattering problems, and the Toeplitz moment matrices. Christian Berg contrasts the multi-dimensional moment problem with the one-dimensional theory and shows how the theory of the moment problem may be viewed as part of harmonic analysis on semigroups. Starting from a historical survey of the use of moments in probability and statistics, Persi Diaconis illustrates the continuing vitality of these methods in a variety of recent novel problems drawn from such areas as Wiener-Ito integrals, random graphs and matrices, Gibbs ensembles, cumulants and self-similar processes, projections of high-dimensional data, and empirical estimation.

Mathematical Illustrations

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Publisher : Cambridge University Press
ISBN 13 : 9780521839211
Total Pages : 340 pages
Book Rating : 4.8/5 (392 download)

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Book Synopsis Mathematical Illustrations by : Bill Casselman

Download or read book Mathematical Illustrations written by Bill Casselman and published by Cambridge University Press. This book was released on 2005-01-24 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical introduction to the techniques needed to produce mathematical illustrations of high quality is suitable for anyone with a modest acquaintance with coordinate geometry. The author combines a completely self-contained step-by-step introduction to the graphics programming language PostScript with advice on what goes into good mathematical illustrations, chapters showing how good graphics can be used to explain mathematics, and a treatment of all the mathematics needed to make such illustrations. The many small simple graphics projects can also be used in courses in geometry, graphics, or general mathematics. Code for many of the illustrations is included, and can be downloaded from the book's web site: www.math.ubc.ca/~cass/graphics/manualMathematicians; scientists, engineers, and even graphic designers seeking help in creating technical illustrations need look no further.

Algebra for Everyone

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Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.X/5 (2 download)

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Book Synopsis Algebra for Everyone by : David J. Glatzer

Download or read book Algebra for Everyone written by David J. Glatzer and published by . This book was released on 1992 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary & Intermediate Algebra, Books a la Carte Edition, Plus Mymathlab -- Access Card Package

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Publisher : Pearson
ISBN 13 : 9780134265179
Total Pages : pages
Book Rating : 4.2/5 (651 download)

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Book Synopsis Elementary & Intermediate Algebra, Books a la Carte Edition, Plus Mymathlab -- Access Card Package by : George Woodbury

Download or read book Elementary & Intermediate Algebra, Books a la Carte Edition, Plus Mymathlab -- Access Card Package written by George Woodbury and published by Pearson. This book was released on 2015-06-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Students will get more out of Elementary and Intermediate Algebra through George Woodbury's concise narrative and focused topic flow. By writing this text from the ground up as a single textbook, George has reduced the amount of overlap typically found in these courses and focused instead on providing more exercises and applications. As a result, your students will be better prepared for higher-level mathematics courses.