Mathematics Social

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and listeners of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought.

Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K-12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur.

Brian Clegg was always fascinated by Isaac Asimov’s classic Foundation series of books, in which the future is predicted using sophisticated mathematical modeling of human psychology and behavior. Only much later did he realize that Asimov’s "psychohistory" had a real-world equivalent: game theory. Originating in the study of probabilistic gambling games that depend on a random source—the throw of a dice or the toss of a coin—game theory soon came to be applied to human interactions: essentially, what was the best strategy to win whatever you were doing?

For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires - such as for play, beauty, freedom, justice, and love.

Rich tasks, collaborative work, number talks, problem-based learning, direct instruction…with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school.

“There are at least two kinds of games,” states James P. Carse as he begins this extraordinary book. “One could be called finite; the other infinite. A finite game is played for the purpose of winning, an infinite game for the purpose of continuing the play.” Finite games are the...

Are you ready to unlock the doors to endless opportunities and take control of your future? Look no further than our comprehensive GED Test Prep & Study Guide, designed to guide you towards triumph in the General Education Development (GED) examination. Whether you're a high school dropout seeking a second chance or an adult learner aiming to expand your horizons, this book is your essential companion on the road to success.

Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: Observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria.

Work with data like a pro using this guide that breaks down how to organize, apply, and most importantly, understand what you are analyzing in order to become a true data ninja. From the stock market to genomics laboratories, census figures to marketing email blasts, we are awash with data. But...

The current school system churns out millions of illiterates and mental zombies—but here's how we're going to fix it, starting today. Coming out of the COVID-19 pandemic, parents across the nation grapple with a new and horrifying understanding of just how bad our educational system has become. It all adds up to a system that seems hopelessly, terribly, and irrevocably broken.

The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress - and also when it did not, because science was being stifled by militarism or religious fanaticism.

Should you watch public television without pledging? Exceed the posted speed limit? Hop a subway turnstile without paying? These questions illustrate the "prisoner's dilemma", a social puzzle that we all face every day. Though the answers may seem simple, their profound implications make the prisoner's dilemma one of the great unifying concepts of science. Watching poker players bluff inspired John von Neumann to construct game theory, a mathematical study of conflict and deception.

Joining the Mathletes and feeling confident after her first math meet triumph, Stacey is troubled when her father gets tickets to a huge rock concert on the same night of the Mathletes championship.

For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two prodigies ultimately proved that the quintic cannot be solved by a simple formula. The first popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

The US healthcare system excels in research, innovation, and clinical care, but is failing to keep up with the operational challenges of the digital age. Today’s healthcare organizations face immense financial challenges, and their most valuable resources - people, rooms, and equipment - are being used inefficiently. The result? Long wait times for patients, overstressed staff, underused assets, and poor ROI for organizations.

Mathematician Ian Stewart tells listeners what he wishes he had known when he was a student. He takes up subjects ranging from the philosophical to the practical - what mathematics is and why it’s worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others.

From the simple to the intricate and the audacious to the absurd, Adam Kucharski reveals the long and tangled history between betting and science and explains why gambling continues to generate insights into luck and decision making today. Covering exploits and ideas from across the globe, he meets the teams behind hedge funds that capitalize on inaccurate sports betting odds and explains how PhD-level pundits are using methods originally developed for the US nuclear program to predict sports results.

In Fluke, mathematician Joseph Mazur takes a second look at the seemingly improbable, sharing with us an entertaining guide to the most surprising moments in our lives. He takes us on a tour of the mathematical concepts of probability, such as the law of large numbers and the birthday paradox, and combines these concepts with lively anecdotes of flukes from around the world. How do you explain finding your college copy of Moby Dick in a used bookstore on the Seine on your first visit to Paris?

So far the author is not a well-known scientist. Nonetheless, he has been able to attract occasional interest to his books on scientific topics, particularly because of his popular website on perpetual motion machines. This text gathers together his scientific theories---insights that may be important to science. It includes such areas as psychology, social science, physics of black holes and wormholes, mathematics, miscellaneous theories, and many other topics. It will be updated periodically to give the latest, most advanced and interesting scientific viewpoints advocated by the author. ...

Treating Mathematics Anxiety is Dr. Nagrath's second book after his initial Amazon Best Seller, "Rethinking Math Learning." In Treating Mathematics Anxiety: Inclusive Strategies for Working with Students Exhibiting Mathematics Anxiety, Dr. Nagrath introduces the underlying belief system that is causing mathematics anxiety along with strategies and frameworks that can be used by any district, school, teacher, parent, or student.