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An examination of the flawed usage of math in public affairs through actual cases of how mathematical data and conclusions can be distorted and misrepresented to influence public opinion.
Highlighting how slippery numbers and questionable mathematical conclusions emerge and what can be done to safeguard against them, this book examines flawed usage of math in public affairs through actual cases of how mathematical data and conclusions can be distorted and misrepresented to influence public opinion. The author analyzes the cost of "slippery math" in terms of squandered resources and identifies common misperceptions about the role of math in public affairs. He discusses how math education can be reformed to sharpen public awareness of "slippery math", the development of math models and their use and misuse, and proper and improper polling methods.
An esteemed professor and one-time chairman of the mathematics department at New York's Pace University, Adams, interested in all facets of university administration, has produced an almost Jeffersonian volume of correspondence from his tenure. His views on textbook selection, collective bargaining and the proper role of the university have all flowed from his notebook, and no problem was too minute to evade his scope The frivolity of some of these papers is balanced by Adams's opinions on weightier issues, including sexual harassment and compensation in higher education. His approach and forward manner on these situations, despite how genuine, sometimes engendered resentment from his fellow faculty. But for those interested in the particulars of an academic career, this book offers a glimpse of what life may really be like inside the ivory tower. - Kirkus Discoveries-
Still another book on finite math? Why? Hasnt everything that should have been said been said? No, I would argue. The shortcoming that troubles me most about the books I am familiar with is their failure to provide perspective on what math technique and the use of technology can do for us and its limitations. This can only be addressed through vigorous and sustained use of the mathematical modeling perspective, which is a hallmark of this books exposition. A point continually stressed is that reaching a mathematical answer to a problem is not the end of the story. It is in a sense the end of a chapter, but the next chapter is concerned with questions about whether and how the mathematical answer should be implemented. Also addressed is the question of what to consider when more than one answer is obtained for a problem.
William J. Adams, Professor of Mathematics at Pace University, is a recipient of Pace's 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).
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).
Reflections on the University Scene presents a sample of ideas, thoughts, and points of view, intimate to the university scene. They include the nature of the university, governance, limits of dissent, academic freedom, tenure, collective bargaining, liberal education, admissions, higher education and high-tech, and memorable teachers and teaching.
This book is the outcome of my conclusion that current mathematics education, taken in total, is a disaster and that by sharing my experience and thoughts about teaching mathematics I might be helpful to colleagues, students, and others who are concerned about mathematics education to mitigate this state of affairs. Mathematics education disaster in what sense? No, it?s not in the sense that I believe insuffi cient attention is being given to number fundamentals. It has to do with the almost unanimously held erroneous view about the nature, precision, and infallibility of mathematics that we acquire from the current state of mathematics education. Current mathematics education does not prepare us for life in the 21st century, which requires an understanding of the mathematical modeling perspective, of what mathematics can do and its limitations, and an appreciation of the questions that should be considered to help us distinguish numbers that inform from those that deceive. If the wizards of Wall Street had a 21st century mathematics education, there is a good chance that they would not have put unquestioning faith in their value at risk math models and the fi nancial meltdown of 2008-09 would have been avoided, or at least softened. If the nation?s decision makers and the public at large were better educated about what questions to give thought to when numbers continually hurled at them are the basis for decision making, they would be less vulnerable to accepting faulty numbers and all of us would be less at risk to the consequences of bad decision making.