Business Mathematics

We live in the age of the algorithm. Increasingly, the decisions that affect our lives—where we go to school, whether we can get a job or a loan, how much we pay for health insurance—are being made not by humans, but by machines. In theory, this should lead to greater fairness: Everyone is judged according to the same rules.

Volume 3 of The Great Mental Models series focuses on systems and mathematics, simplifying more than twenty-four key concepts from these technical fields into easy-to-understand terms. It provides insights into the unseen mechanisms that influence our environment and teaches you how to apply these principles to benefit your life.

Mathematics is full of better ways of thinking, and with more than 2,000 years of knowledge to draw on, Oxford mathematician Marcus du Sautoy interrogates his passion for shortcuts in this fresh and fascinating guide. After all, shortcuts have enabled so much of human progress, whether in constructing the first cities around the Euphrates 5,000 years ago, using calculus to determine the scale of the universe or today’s algorithms that help us find a new life partner.

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Research shows that people often wildly misunderstand the state of the world, regardless of age, sex, or education. And though the internet brings us unprecedented access to information, there's little evidence we're any better informed because of it. We may blame cognitive bias or fake news, but neither tells the complete story. Bobby Duffy draws on his research into public perception, offering a sweeping account of the stubborn problem of human delusion: how society breeds it, why it will never go away, and what our misperceptions say about what we really believe.

Raising students' math achievement doesn't mean ripping up your planning book and starting over. In Accessible Mathematics Steven Leinwand shows how small shifts in the good teaching you already do can make a big difference in student learning. Steve focuses on the crucial issue of classroom instruction. He scours the research and visits highly effective classrooms for practical examples of small adjustments to your teaching that lead to deeper student learning in math. Some of his 10 classroom-tested teaching shifts may surprise you and others will validate your thinking.