Alarming! the Chasm Separating Education of Applications of Finite Math from It's Necessities

Alarming! the Chasm Separating Education of Applications of Finite Math from It's Necessities PDF Author: William J. Adams
Publisher: Xlibris Corporation
ISBN: 1479799947
Category : Mathematics
Languages : en
Pages : 133

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Book Description
William J. Adams, Professor of Mathematics at Pace University, is a recipient of Paces Outstanding Teacher Award. He was Chairman of the Pace N.Y. Mathematics Department from 1976 through 1991. Professor Adams is author or co-author of over twenty books on mathematics, its applications, and history, including Elements of Linear Programming (1969), Calculus for Business and Social Science (1975), Fundamentals of Mathematics for Business, Social and Life Sciences (1979), Elements of Complex Analysis (1987), Get a Grip on Your Math (1996), Slippery Math in Public Affairs: Price Tag and Defense (2002) ; Think First, Apply MATH, Think Further: Food for Thought (2005), The Life and Times of the Central Limit Theorem Second Edition(2009), and Alarming! The Chasm Separating Basic Statistics Education from its Necessities (2013). His concern with the slippery side of math and what math can do for us and its limitations is a prominent feature of his writings on applications. Concerning higher education in general, he is the author of The Nitty-Gritty in the Life of a University (2007).

Alarming! The Chasm Separating Basic Statistics Education from its Necessities

Alarming! The Chasm Separating Basic Statistics Education from its Necessities PDF Author: William J. Adams
Publisher: Xlibris Corporation
ISBN: 1477120114
Category : Mathematics
Languages : en
Pages : 195

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Book Description
The fairly large sample of current basic statistics books I gave thought to recently may, in my view, be characterized as number pushers with a large number of illustrations intended to convey a sense of the importance of statistics to the study of real-world problems. What's wrong with that? Nothing, provided that what I submit to be the necessities of statistics education are given the attention they warrant, are not smothered by glitz, overwhelming attention to number pushing, do not receive shortshrift, or are not mentioned at all. Am I being too critical? I invite you to give thought to fifteen, issues/questions that are the core of the aforenoted chasm and render your verdict. Food-for-thought in support of the issues/questions raised along with answers/discussion are included. Many students and those who apply statistics to their fields of interest subscribe to the view that to apply statistics to a problem/situation all you need do is throw your data into a computer and let it do its thing. The further they travel along this road of thought the more we can expect misunderstanding of statistics and, when it comes to publication, statistical junk. I believe that the only way to change the direction of this road of thought is to incorporate into our teaching of basic statistics what is feasible of the necessities of statistics education. For further discussion of the necessities of basic statistics education I recommend the book I coauthored with my colleagues Irwin Kabus and Mitchell Preiss: Statistics: Basic Principles and Applications, 2nd ed, (Kendall/Hunt Publishing Co., 2000) or the revised 2nd ed., W. J. Adams (Xlibris, 2009).

Teachers and Research in Action

Teachers and Research in Action PDF Author: Carol Livingston
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 108

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Book Description
This book highlights the use of research and other forms of knowledge for meaningful school reform by faculties engaged in the National Education Association's "Mastery in Learning Project" (MIL). This project is a school-based education reform initiative designed to help school faculties take an active role in directing school renewal efforts, and in the process, restructure their schools to ensure that students achieve "mastery." The focus of the book is the utilization and creation of the knowledge base by project faculties. The first chapter frames some fundamental and complex issues involved in considering research use by teachers. It examines the phrase "teachers using research" and describes differing and potentially conflicting conceptions of each word of the phrase. Chapters 2 through 5 provide case descriptions of the use and/or creation of knowledge at four particular sites where faculties are working to improve grouping, mathematics instruction, professional development, and faculty collegiality. Chapters 6 and 7 investigate research and knowledge use across MIL sites. Reflections from outside MIL are featured in the final two chapters. These provide the reactions of a researcher and a teacher-scholar. (JD)

Mysticism and Logic

Mysticism and Logic PDF Author: Bertrand Russell
Publisher: Courier Corporation
ISBN: 0486171124
Category : Philosophy
Languages : en
Pages : 212

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Book Description
Russell explains his theory of logical atomism in 10 brilliant essays, which include popular treatments of religious and educational issues as well as more technical examinations of problems of logic.

The Cognitive-Theoretic Model of the Universe: A New Kind of Reality Theory

The Cognitive-Theoretic Model of the Universe: A New Kind of Reality Theory PDF Author: Christopher Michael Langan
Publisher: Mega Foundation Press
ISBN: 0971916225
Category : Philosophy
Languages : en
Pages : 94

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Book Description
Paperback version of the 2002 paper published in the journal Progress in Information, Complexity, and Design (PCID). ABSTRACT Inasmuch as science is observational or perceptual in nature, the goal of providing a scientific model and mechanism for the evolution of complex systems ultimately requires a supporting theory of reality of which perception itself is the model (or theory-to-universe mapping). Where information is the abstract currency of perception, such a theory must incorporate the theory of information while extending the information concept to incorporate reflexive self-processing in order to achieve an intrinsic (self-contained) description of reality. This extension is associated with a limiting formulation of model theory identifying mental and physical reality, resulting in a reflexively self-generating, self-modeling theory of reality identical to its universe on the syntactic level. By the nature of its derivation, this theory, the Cognitive Theoretic Model of the Universe or CTMU, can be regarded as a supertautological reality-theoretic extension of logic. Uniting the theory of reality with an advanced form of computational language theory, the CTMU describes reality as a Self Configuring Self-Processing Language or SCSPL, a reflexive intrinsic language characterized not only by self-reference and recursive self-definition, but full self-configuration and self-execution (reflexive read-write functionality). SCSPL reality embodies a dual-aspect monism consisting of infocognition, self-transducing information residing in self-recognizing SCSPL elements called syntactic operators. The CTMU identifies itself with the structure of these operators and thus with the distributive syntax of its self-modeling SCSPL universe, including the reflexive grammar by which the universe refines itself from unbound telesis or UBT, a primordial realm of infocognitive potential free of informational constraint. Under the guidance of a limiting (intrinsic) form of anthropic principle called the Telic Principle, SCSPL evolves by telic recursion, jointly configuring syntax and state while maximizing a generalized self-selection parameter and adjusting on the fly to freely-changing internal conditions. SCSPL relates space, time and object by means of conspansive duality and conspansion, an SCSPL-grammatical process featuring an alternation between dual phases of existence associated with design and actualization and related to the familiar wave-particle duality of quantum mechanics. By distributing the design phase of reality over the actualization phase, conspansive spacetime also provides a distributed mechanism for Intelligent Design, adjoining to the restrictive principle of natural selection a basic means of generating information and complexity. Addressing physical evolution on not only the biological but cosmic level, the CTMU addresses the most evident deficiencies and paradoxes associated with conventional discrete and continuum models of reality, including temporal directionality and accelerating cosmic expansion, while preserving virtually all of the major benefits of current scientific and mathematical paradigms.

Algebra and Geometry

Algebra and Geometry PDF Author: Hung-Hsi Wu
Publisher: American Mathematical Soc.
ISBN: 1470456761
Category : Education
Languages : en
Pages : 417

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Book Description
This is the second of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. The first part of this volume is devoted to the study of standard algebra topics: quadratic functions, graphs of equations of degree 2 in two variables, polynomials, exponentials and logarithms, complex numbers and the fundamental theorem of algebra, and the binomial theorem. Having translations and the concept of similarity at our disposal enables us to clarify the study of quadratic functions by concentrating on their graphs, the same way the study of linear functions is greatly clarified by knowing that their graphs are lines. We also introduce the concept of formal algebra in the study of polynomials with complex coefficients. The last three chapters in this volume complete the systematic exposition of high school geometry that is consistent with CCSSM. These chapters treat the geometry of the triangle and the circle, ruler and compass constructions, and a general discussion of axiomatic systems, including non-Euclidean geometry and the celebrated work of Hilbert on the foundations. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.

Getting Around Brown

Getting Around Brown PDF Author: Gregory S. Jacobs
Publisher: Ohio State University Press
ISBN: 0814207200
Category : Public schools
Languages : en
Pages : 314

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Book Description
Getting Around Brown is both the first history of school desegregation in Columbus, Ohio, and the first case study to explore the interplay of desegregation, business, and urban development in America.

Introduction, and Reason in common sense

Introduction, and Reason in common sense PDF Author: George Santayana
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 322

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Book Description


Women Succeeding in the Sciences

Women Succeeding in the Sciences PDF Author: Jody Bart
Publisher: Purdue University Press
ISBN: 9781557531216
Category : Business & Economics
Languages : en
Pages : 290

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Book Description
Ample evidence has been provided that women historically have suffered numerous social, political, and institutional barriers to their entrance and success in the sciences. The articles in this anthology refocus the discussion and reflect the interdisciplinary nature of the issues surrounding women in the sciences. While the barriers that women have faced as researchers, subjects of research, students of science, and theorists have been well documented, this anthology breaks new ground. It presents the ways women succeed in the sciences, overcome these historical barriers, and contribute to the social practice of science and the philosophy of science in both theory and practice.

Undergraduate Science, Mathematics and Engineering Education: Source materials

Undergraduate Science, Mathematics and Engineering Education: Source materials PDF Author: National Science Board (U.S.). Task Committee on Undergraduate Science and Engineering Education
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 216

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Book Description