Navigating MathLand uses a unique lens to focus on how students prefer to learn mathematics. The intent of this book is to provide a guide for parents to help them navigate the thirteen years of their children’s math education (K-12). The book will provide parents with the knowledge and skills they will need to proactively advocate for their children’s preparation for the 21st century workforce.
The Roadmap to Investing in Yourself: The Real Costs of a College Education, 2nd Edition discusses many of the economic misconceptions about earning a college degree. While it is widely believed that attending college in itself guarantees wealth, thinking of a college degree as a commodity has kept students, parents, and higher education professionals from understanding the full range of short-term and long-term costs. This book illustrates how the promotion of education merely as a commodity comes at a high price for both the individual and society. Authors Tara Jabbaar-Gyambrah and Seneca Vaught argue that the idea of ‘investment’ must shift from a short-sighted view, focusing only on economic concerns, to a broader and more holistic understanding of what college costs and what students can expect in return.
The purpose of the Eliminating the Achievement Gapis to provide a resource for scholars and students into many of the most salient issues, trends, and factors that are most effective in reducing the achievement gap. Eliminating the Achievement Gap is particularly unique because it will: 1) utilize a meta-analysis to determine what factors contribute the most to reducing the achievement gap and 2) examine potential achievement gap reducing variables from across disciplines. These disciplines include education, sociology, economics, family science, psychology, public policy, and educational psychology. The second emphasis is largely based on the meta-analysis, because the results of the meta-analysis indicate that the best way to completely eliminate the achievement gap is to initiate a multidisciplinary approach to the achievement gap. It is the intention of this book to make scholars, educators, policymakers, parents, and the general public more aware of the factors that best bridge the achievement gap, so that they can take major steps to implementing comprehensive and multidisciplinary efforts. The more such efforts are inaugurated, the more the achievement gap will be reduced. The nine chapters of this book are therefore divided into four parts to reflect this extent of this comprehensive approach.
Is College a Lousy Investment?: Negotiating the Hidden Cost of Higher Education discusses many of the economic misconceptions about earning a college degree. While it is widely believed that attending college guarantees wealth and success, students, concerned parents, and higher education professionals have neglected calculating the full-range of short-term and long-terms costs. Our work illustrates how the promotion of education merely as a commodity come at a high price for the individual and society. We argue how the idea of ‘investment’ can be expanded from a short-sighted view to engage a broader, more holistic rationale for higher education from which students can expect a full return on investment.
The latest book in our successful series IT Revolution in Architecture provides a concise summary of how our perception of the space around us has radically changed in recent years. We could even go as far as to say that we ourselves shape the space around us according to how our perceptions of the universe alter and develop, and mathematics plays a pivotal role. In this book, the "virtual" protagonist of the journey through the concept of space is the square. Michele Emmer, born in 1945, is Professor of Mathematics at the University La Sapienza in Rome and has authored many books and films on the subject of mathematics and art and culture. He was also responsible for exhibitions at the Venetian Biennale and the Cité des Sciences La Villette in Paris.
Learn math by getting creative with code! Use the Python programming language to transform learning high school-level math topics like algebra, geometry, trigonometry, and calculus! Math Adventures with Python will show you how to harness the power of programming to keep math relevant and fun. With the aid of the Python programming language, you'll learn how to visualize solutions to a range of math problems as you use code to explore key mathematical concepts like algebra, trigonometry, matrices, and cellular automata. Once you've learned the programming basics like loops and variables, you'll write your own programs to solve equations quickly, make cool things like an interactive rainbow grid, and automate tedious tasks like factoring numbers and finding square roots. You'll learn how to write functions to draw and manipulate shapes, create oscillating sine waves, and solve equations graphically. You'll also learn how to: - Draw and transform 2D and 3D graphics with matrices - Make colorful designs like the Mandelbrot and Julia sets with complex numbers - Use recursion to create fractals like the Koch snowflake and the Sierpinski triangle - Generate virtual sheep that graze on grass and multiply autonomously - Crack secret codes using genetic algorithms As you work through the book's numerous examples and increasingly challenging exercises, you'll code your own solutions, create beautiful visualizations, and see just how much more fun math can be!
Mathematicians have pondered the psychology of the members of our tribe probably since mathematics was invented, but for certain since Hadamard’s The Psychology of Invention in the Mathematical Field. The editors asked two dozen prominent mathematicians (and one spouse thereof) to ruminate on what makes us different. The answers they got are thoughtful, interesting and thought-provoking. Not all respondents addressed the question directly. Michael Atiyah reflects on the tension between truth and beauty in mathematics. T.W. Körner, Alan Schoenfeld and Hyman Bass chose to write, reflectively and thoughtfully, about teaching and learning. Others, including Ian Stewart and Jane Hawkins, write about the sociology of our community. Many of the contributions range into philosophy of mathematics and the nature of our thought processes. Any mathematician will find much of interest here.
In August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: "On the Number of Prime Numbers Less Than a Given Quantity." In the middle of that paper, Riemann made an incidental remark â€" a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false? Riemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic â€" defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark â€" the Riemann Hypothesis â€" that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows â€" subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age. It has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many â€" the veritable "great white whale" of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof â€" and those who have been consumed by it.
