Books about Nonstandard from Amazon.com

This book is a gift for our teaching heads and our teaching hearts.
- Janet Allen

Are you searching for instruction that reinforces standards-based content in language arts, math, science, or social studies?

That generates student interest?
That promotes critical thinking?
That doesn't sacrifice time in your curriculum?

Then it's time for a new approach.

In Practical Poetry, Sara Holbrook shows you how the precise language and keen observations of poems can be used as nuts-and-bolts tools for addressing content and language standards in four key subject areas. Whether you teach one or several subjects, Practical Poetry includes chapters specially written to show you how to promote content understanding and meaning-making in language arts, math, science, and social studies by taking poems out of the artsy ether and making them functional. Even if you aren't a poet, you'll be ready to use poetry in your class tomorrow because each of Holbrook's lessons:

• describes the rationale for how and why the lessons work
• identifies the specific content standards you'll be addressing in your teaching
• includes exemplar poems to use right away or to guide you in weaving favorite poems into your lesson planning
• provides examples of student work from classrooms where poetry has been used successfully as a vehicle for learning.

You might think you don't have room in your standards-based curriculum to teach with poems, but with applications to content standards woven throughout, Practical Poetry will prove that you do. Take Sara Holbrook's advice. You'll energize your students, reinforce their topical understanding over a variety of content-area standards, and build their critical-thinking and language skills. Poetry has never been so practical.

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Price: $16.00 [Notify me when price goes down.]

This is an introduction to nonstandard analysis based on a course of lectures given several times by the author. It is suitable for use as a text at the beginning graduate or upper undergraduate level, or for self-study by anyone familiar with elementary real analysis. It presents nonstandard analysis not just as a theory about infinitely small and large numbers, but as a radically different way of viewing many standard mathematical concepts and constructions; a source of new ideas, objects and proofs; and a wellspring of powerful new principles of reasoning (transfer, overflow, saturation, enlargement, hyperfinite approximation etc.). The book begins with the ultrapower construction of hyperreal number systems, and proceeds to develop one-variable calculus, analysis and topology from the nonstandard perspective, emphasizing the role of the transfer principle as a working tool of mathematical practice. It then sets out the theory of enlargements of fragments of the mathematical universe, providing a foundation for the full-scale development of the nonstandard methodology. The final chapters apply this to a number of topics, including Loeb measure theory and its relation to Lebesgue measure on the real line, Ramsey's Theorem, nonstandard constructions of p-adic numbers and power series, and nonstandard proofs of the Stone representation theorem for Boolean algebras and the Hahn-Banach theorem. Features of the text include an early introduction of the ideas of internal, external and hyperfinite sets, and a more axiomatic set- theoretic approach to enlargements than the usual one based on superstructures..
Price: $55.93 [Notify me when price goes down.]

Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the 1974 revised edition is indispensable reading for anyone interested in non-standard analysis. It treats in rich detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids and rederivations of Saint-Venant's hypothesis concerning the distribution of stresses in an elastic body.

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Price: $40.34 [Notify me when price goes down.]

To me, Susan is the quintessential teacher . . . Thanks Susan - on days when the going is toughest, you and your students will always be there with me to help me remain sane. And hopeful
- Deborah Meier

In the tradition of Jim Herndon's The Way It Spozed To Be, but in her own passionate voice, Susan Ohanian tells stories of the real. Others might write abstractly of standards and accountability, Ohanian presents us with Sylvia and Shari, Jackson and Jolene and the other seventh graders she teaches who, in their own quirky ways, teach Ohanian what it means to be a teacher. Ultimately, this is her story.
- Gerald W. Bracey, Independent Educational Researcher and Writer

This is a book full of unapologetic piss and bile and outrage. In this take-no-prisoner book, nobody gets off easy - not the schools, teachers, the glib educational "experts", nor the standardistos. Susan Ohanion has written a dark, disturbing rebuttal to quick-fix solutions for our schools. Yet this is also written a book of tremendous caring. Again and again I was struck by Ohanion's unwillingness to give up on the "rotten readers" in an urban school that the system has forsaken. A half dozen times while reading these portraits of middle school kids, and the author's compassion for them, I found myself wiping tears from my eyes. Read this book.
- Ralph Fletcher, author of What A Writer Needs

As one of the country's most outspoken critics of standards and testing, and a former inner-city teacher, Susan Ohanian is no stranger to the "f" word: failure. She often referred to it in her best-seller, One Size Fits Few, to point out "the folly of educational standards." And now, in her follow-up book, Caught in the Middle, it's the fulcrum upon which she dares to reveal what schools are really like when nonstandard kids and a standardized curriculum collide in the classroom.

Offering both a warning and a clarion to teachers everywhere - Susan tells an insider's story of living day in and day out with students who are not likely to succeed in a world with only one definition of success. In the first of a series of heart-wrenching and heroic portraits, you'll meet twelve-year-old Sylvia ("Nobody messes with Sylvia"), who is failing all her courses but, somehow, teams up with the author in a bizarre mutual-aid arrangement. Next, one by one, you'll get to know Anita (sweet, compliant, and then pregnant) . . . Jimmy (who discovers fairy tales ten years after all his peers did) . . . Tiffany (unkempt, unwashed, whiny, and then suddenly transformed into the proud owner of words when introduced to a thesaurus) . . . Jean (teller of tall tales, including a whopper Susan fell for) . . . Clarice (the most polite kid in school, but with a locker bursting with stolen goods) . . . and Arnold ("certifiably crazy," but who is always promoted because nobody wanted him to stay another year).

Although admitting to failure, Caught in the Middle is not a downer. Hope shines through, and it comes, not from political initiatives or even from wonderful programs, but from individual interactions between teacher and students; it comes from matters of the heart.

Visit www.susanohanian.org Vis. Price: $10.33 [Notify me when price goes down.]
	Applied Nonstandard Analysis This text assumes no knowledge of mathematical logic. Beginning with a nonstandard construction of the real number system, it leads students thorough the basic topics of elementary real analysis, topological spaces, and Hilbert space. Includes nonstandard treatments of equicontinuity, nonmeasurable sets, and the existence of Haar measure. 1977 edition. . Price: $8.71 [Notify me when price goes down.]
	Shakespeare's Non-Standard English: A Dictionary of His Informal Language (Student Shakespeare Library) Most scholarly attention on Shakespeare's vocabulary has been directed towards his enrichment of the language through borrowing words from other languages, and has thus concentrated on the more learned aspects of his vocabulary. However, the bulk of Shakespeare's output consists of plays, and to make these appear lifelike he needed to employ a collquial and informal style. This aspect of his work has been largely disregarded apart from his bawdy language. This dictionary includes all types of non-standard and informal language and lists all examples found in Shakespeare's works. These include dialect form, colloquial forms, non-standard and variant forms, fashionable words and puns. Norman Blake is Emeritus Professor of English at Sheffield University.. Price: $49.52 [Notify me when price goes down.]
	Decomposition Techniques in Mathematical Programming: Engineering and Science Applications This textbook for students and practitioners presents a practical approach to decomposition techniques in optimization It provides an appropriate blend of theoretical background and practical applications in engineering and science, which makes the book interesting for practitioners, as well as engineering, operations research and applied economics graduate and postgraduate students. "Decomposition Techniques in Mathematical Programming" is based on clarifying, illustrative and computational examples and applications from electrical, mechanical, energy and civil engineering as well as applied mathematics and economics. It addresses decomposition in linear programming, mixed-integer linear programming, nonlinear programming, and mixed-integer nonlinear programming, and provides rigorous decomposition algorithms as well as heuristic ones. Practical applications are developed up to working algorithms that can be readily used. The theoretical background of the book is deep enough to be of interest to applied mathematicians. It includes end of chapter exercises and the solutions of the even numbered exercises are included as an appendix. . Price: $103.59 [Notify me when price goes down.]
	Acknowledgement, affirmation, and accommodation: the non-standard language approach. (Language Teaching & Learning).: An article from: Academic Exchange Quarterly This digital document is an article from Academic Exchange Quarterly, published by Rapid Intellect Group, Inc. on September 22, 2001. The length of the article is 3464 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser. Citation Details Title: Acknowledgement, affirmation, and accommodation: the non-standard language approach. (Language Teaching & Learning). Author: Sharroky Hollie Publication:Academic Exchange Quarterly (Refereed) Date: September 22, 2001 Publisher: Rapid Intellect Group, Inc. Volume: 5 Issue: 3 Page: 142(6) Distributed by Thomson Gale. Price: $5.95 [Notify me when price goes down.]
	Introduction to Asymptotics: A Treatment Using Nonstandard Analysis Many branches of science and engineering involve applications of mathematical analysis. An important part of applied analysis is asymptotic approximation which is, therefore, an active area of research with new methods and publications being found constantly. This book gives an introduction to the subject sufficient for scientists and engineers to grasp the fundamental techniques, both those which have been known for some time and those which have been discovered more recently. The asymptotic approximation of both integrals and differential equations is discussed and the discussion includes hyperasymptotics as well as uniform asymptotics. There are many numerical examples to illustrate the relation between theory and practice. Exercises in the chapters enable the book to be used as a text for an introductory course.. Price: $30.00 [Notify me when price goes down.]
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