A Mathematician at the Ballpark

A Mathematician at the Ballpark
Author: Ken Ross
Publisher: Penguin
Total Pages: 225
Release: 2007-02-27
Genre: Mathematics
ISBN: 1101010843

In A Mathematician at the Ballpark, professor Ken Ross reveals the math behind the stats. This lively and accessible book shows baseball fans how to harness the power of made predictions and better understand the game. Using real-world examples from historical and modern-day teams, Ross shows: • Why on-base and slugging percentages are more important than batting averages • How professional odds makers predict the length of a seven-game series • How to use mathematics to make smarter bets A Mathematician at the Ballpark is the perfect guide to the science of probability for the stats-obsessed baseball fans—and, with a detailed new appendix on fantasy baseball, an essential tool for anyone involved in a fantasy league.

Understanding Modern Mathematics

Understanding Modern Mathematics
Author: Saul Stahl
Publisher: Jones & Bartlett Learning
Total Pages: 284
Release: 2007
Genre: Mathematics
ISBN: 9780763734015

Understanding Modern Mathematics is an exceptional collection of topics meant to better acquaint students with mathematics through an exposure to its applications and an analysis of its culture. The text provides an in-depth focus on such key topics as probability, statistics, voting systems, game theory, and linear programming. Two additional chapters on geometry and symmetry can be found on the text's web site, providing students the opportunity to see the 3-dimensional geometric figures in full color. The text provides students with an understanding of how these important mathematical topics are relevant in their everyday lives while emphasizing the history of mathematics . Understanding Modern Mathematics is the perfect complement to any Liberal Arts Mathematics course. Click Here to View Chapter 6 Click Here to View Chapter 7

Mathematics (Education) in the Information Age

Mathematics (Education) in the Information Age
Author: Stacy A. Costa
Publisher: Springer Nature
Total Pages: 231
Release: 2020-12-10
Genre: Mathematics
ISBN: 3030591778

This book brings together ideas from experts in cognitive science, mathematics, and mathematics education to discuss these issues and to present research on how mathematics and its learning and teaching are evolving in the Information Age. Given the ever-broadening trends in Artificial Intelligence and the processing of information generally, the aim is to assess their implications for how math is evolving and how math should now be taught to a generation that has been reared in the Information Age. It will also look at the ever-spreading assumption that human intelligence may not be unique—an idea that dovetails with current philosophies of mind such as posthumanism and transhumanism. The role of technology in human evolution has become critical in the contemporary world. Therefore, a subgoal of this book is to illuminate how humans now use their sophisticated technologies to chart cognitive and social progress. Given the interdisciplinary nature of the chapters, this will be of interest to all kinds of readers, from mathematicians themselves working increasingly with computer scientists, to cognitive scientists who carry out research on mathematics cognition and teachers of mathematics in a classroom.

Mathematics Old and New

Mathematics Old and New
Author: Saul Stahl
Publisher: Courier Dover Publications
Total Pages: 401
Release: 2017-08-15
Genre: Mathematics
ISBN: 048680738X

Introductory treatment for undergraduates provides insightful expositions of specific applications of mathematics and elements of mathematical history and culture. Topics include probability, statistics, voting systems game theory, geometry, Egyptian arithmetic, and more. 2016 edition.

Benchmarking in Institutional Research

Benchmarking in Institutional Research
Author: Gary D. Levy
Publisher: John Wiley & Sons
Total Pages: 105
Release: 2012-12-21
Genre: Education
ISBN: 1118641043

While the term benchmarking is commonplace nowadays in institutional research and higher education, less common, is a solid understanding of what it really means and how it has been, and can be, used effectively. This volume begins by defining benchmarking as “a strategic and structured approach whereby an organization compares aspects of its processes and/or outcomes to those of another organization or set of organizations to identify opportunities for improvement.” Building on this definition, the chapters provide a brief history of the evolution and emergence of benchmarking in general and in higher education in particular. The authors apply benchmarking to: Enrollment management and student success Institutional effectiveness The potential economic impact of higher education institutions on their host communities. They look at the use of national external survey data in institutional benchmarking and selection of peer institutions, introduce multivariate statistical methodologies for guiding that selection, and consider a novel application of baseball sabermetric methods. The volume offers a solid starting point for those new to benchmarking in higher education and provides examples of current best practices and prospective new directions. This is the 156th volume of this Jossey-Bass series. Always timely and comprehensive, New Directions for Institutional Research provides planners and administrators in all types of academic institutions with guidelines in such areas as resource coordination, information analysis, program evaluation, and institutional management.

A Cornucopia of Quadrilaterals

A Cornucopia of Quadrilaterals
Author: Claudi Alsina
Publisher: American Mathematical Soc.
Total Pages: 306
Release: 2020-02-10
Genre: Education
ISBN: 1470453126

A Cornucopia of Quadrilaterals collects and organizes hundreds of beautiful and surprising results about four-sided figures—for example, that the midpoints of the sides of any quadrilateral are the vertices of a parallelogram, or that in a convex quadrilateral (not a parallelogram) the line through the midpoints of the diagonals (the Newton line) is equidistant from opposite vertices, or that, if your quadrilateral has an inscribed circle, its center lies on the Newton line. There are results dating back to Euclid: the side-lengths of a pentagon, a hexagon, and a decagon inscribed in a circle can be assembled into a right triangle (the proof uses a quadrilateral and circumscribing circle); and results dating to Erdős: from any point in a triangle the sum of the distances to the vertices is at least twice as large as the sum of the distances to the sides. The book is suitable for serious study, but it equally rewards the reader who dips in randomly. It contains hundreds of challenging four-sided problems. Instructors of number theory, combinatorics, analysis, and geometry will find examples and problems to enrich their courses. The authors have carefully and skillfully organized the presentation into a variety of themes so the chapters flow seamlessly in a coherent narrative journey through the landscape of quadrilaterals. The authors' exposition is beautifully clear and compelling and is accessible to anyone with a high school background in geometry.

A Mathematician's Lament

A Mathematician's Lament
Author: Paul Lockhart
Publisher: Bellevue Literary Press
Total Pages: 144
Release: 2009-04-01
Genre: Mathematics
ISBN: 1934137332

“One of the best critiques of current mathematics education I have ever seen.”—Keith Devlin, math columnist on NPR’s Morning Edition A brilliant research mathematician who has devoted his career to teaching kids reveals math to be creative and beautiful and rejects standard anxiety-producing teaching methods. Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike and it will alter the way we think about math forever. Paul Lockhart, has taught mathematics at Brown University and UC Santa Cruz. Since 2000, he has dedicated himself to K-12 level students at St. Ann’s School in Brooklyn, New York.

The Strange Ways of Chance

The Strange Ways of Chance
Author: Edward Beltrami
Publisher: AuthorHouse
Total Pages: 143
Release: 2015-01-26
Genre: Education
ISBN: 1496960491

This book is a laypersons introduction to the mathematics of chance but with just a little of the math. The idea is to help the reader untangle the plethora of often misleading data and sometimes dubious claims that appear in the world of politics, finance, medicine and public health, sports, criminal trials, and the like. It is relevant to current events with many quotes from newspaper articles. This is not a textbook, and no special requirements are assumed on the part of the reader other than an interest in public affairs, curiosity about how to interpret the many statements that he or she confronts in the media, and a willingness to engage in some quantitative reasoning. The idea is to survey the conundrums and confusion engendered by the intrusion of chance into the public discourse where the consequences can be counter-intuitive and unexpected. To keep it simple, the few technicalities that arise are explained in the notes at end of each chapter, but this material is purely optional and is intended for those readers who are undaunted by the notation.