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Author: William J. Adams Publisher: Xlibris Corporation ISBN: 1479799947 Category : Mathematics Languages : en Pages : 133
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).
Author: William J. Adams Publisher: Xlibris Corporation ISBN: 1479799947 Category : Mathematics Languages : en Pages : 133
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).
Author: William J. Adams Publisher: Xlibris Corporation ISBN: 1477120114 Category : Mathematics Languages : en Pages : 195
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).
Author: Gabriele Kaiser Publisher: Springer ISBN: 3030156362 Category : Education Languages : en Pages : 528
Book Description
The purpose of this Open Access compendium, written by experienced researchers in mathematics education, is to serve as a resource for early career researchers in furthering their knowledge of the state of the field and disseminating their research through publishing. To accomplish this, the book is split into four sections: Empirical Methods, Important Mathematics Education Themes, Academic Writing and Academic Publishing, and a section Looking Ahead. The chapters are based on workshops that were presented in the Early Career Researcher Day at the 13th International Congress on Mathematical Education (ICME-13). The combination of presentations on methodological approaches and theoretical perspectives shaping the field in mathematics education research, as well as the strong emphasis on academic writing and publishing, offered strong insight into the theoretical and empirical bases of research in mathematics education for early career researchers in this field. Based on these presentations, the book provides a state-of-the-art overview of important theories from mathematics education and the broad variety of empirical approaches currently widely used in mathematics education research. This compendium supports early career researchers in selecting adequate theoretical approaches and adopting the most appropriate methodological approaches for their own research. Furthermore, it helps early career researchers in mathematics education to avoid common pitfalls and problems while writing up their research and it provides them with an overview of the most important journals for research in mathematics education, helping them to select the right venue for publishing and disseminating their work.
Author: Yeping Li Publisher: Springer ISBN: 3319614347 Category : Education Languages : en Pages : 298
Book Description
This book is inspired by Roger E. Howe's contributions to the international communities of mathematics and mathematics education. Renowned for his research contributions in the fields of representation theory, automorphic forms, harmonic analysis, and invariant theory, Dr. Howe has also fundamentally deepened our understanding of the mathematics taught in the early school grades and has challenged and stimulated mathematicians and mathematics educators to work together to examine this part of the mathematical universe more critically and in imaginative new ways. This volume will help summarize and highlight Howe's contributions to several topic areas in mathematics education, demonstrating the possibility and importance of engaging mathematicians in high-impact research in mathematics education, and showcasing the importance of cross-disciplinary collaboration and exchange.
Author: National Science Board (U.S.). Task Committee on Undergraduate Science and Engineering Education Publisher: ISBN: Category : Engineering Languages : en Pages : 216
Author: Frank Smith Publisher: Routledge ISBN: 1135619727 Category : Education Languages : en Pages : 569
Book Description
Understanding Reading revolutionized reading research and theory when the first edition appeared in 1971 and continues to be a leader in the field. In the sixth edition of this classic text, Smith's purpose remains the same: to shed light on fundamental aspects of the complex human act of reading--linguistic, physiological, psychological, and social--and on what is involved in learning to read. The text critically examines current theories, instructional practices, and controversies, covering a wide range of disciplines but always remaining accessible to students and classroom teachers. Careful attention is given to the ideological clash that continues between whole language and direct instruction and currently permeates every aspect of theory and research into reading and reading instruction. To aid readers in making up their own minds, each chapter concludes with a brief statement of "Issues." Understanding Reading: A Psycholinguistic Analysis of Reading and Learning to Read, Sixth Edition is designed to serve as a handbook for language arts teachers, a college text for basic courses on the psychology of reading, a guide to relevant research on reading, and an introduction to reading as an aspect of thinking and learning. It is matchless in integrating a wide range of topics relative to reading while, at the same time, being highly readable and user-friendly for instructors, students, and practitioners.
Author: Hongxi Wu Publisher: American Mathematical Soc. ISBN: 1470456761 Category : Education Languages : en Pages : 375
Book Description
This is the second of three volumes that, together, give an exposition of the mathematics of grades 9â12 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 Kâ12 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 Kâ12 mathematics, as well as for some high school students and for education professionals.
Author: Christopher Michael Langan Publisher: Mega Foundation Press ISBN: 0971916225 Category : Philosophy Languages : en Pages : 94
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.
Author: William J. Adams
Author: William J. Adams
Author: William J. Adams
Author: Bertrand Russell
Author: Gabriele Kaiser
Author: Yeping Li
Author: National Science Board (U.S.). Task Committee on Undergraduate Science and Engineering Education
Author: Frank Smith
Author: Hongxi Wu
Author: Christopher Michael Langan
Author: George Santayana