Mental Mathematics

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.

For two decades, John Mighton has developed strategies for fostering intellectual potential in all children through learning math. Math, Mighton says, provides us with mental tools of incredible power. When we learn math we learn to see patterns, to think logically and systematically, to draw analogies, to perceive risk, to understand cause and effect - among many other critical skills. Yet we tolerate and in fact expect a vast performance gap in math among students and live in a world where many adults aren't equipped with these crucial tools.

Do you want to become mentally sharper and quicker? Do you want to be able to save time and calculate large numbers on the go while you're shopping or adding up a bill at a restaurant? Do you want other people to notice how you seem to not need a calculator, how you seem like such a genius? If yes, then this audiobook is for you. Mental math is the ability to solve math problems in your head, without the need to write or use a calculator. And it has all of the benefits implied above and much more.

In Once Upon an Algorithm, Martin Erwig explains computation as something that takes place beyond electronic computers, and computer science as the study of systematic problem solving. Erwig points out that many daily activities involve problem solving. Getting up in the morning, for example: You get up, take a shower, get dressed, eat breakfast. This simple daily routine solves a recurring problem through a series of well-defined steps. In computer science, such a routine is called an algorithm.

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.

How many hours of sleep did you get last week? How many steps did you walk today? How many friends do you have? It seems everywhere you go, you’re surrounded by numbers. You depend on them, so you think they’re dependable, neutral, exact. But the truth? Numbers lie. They mislead. They’re tricky, little manipulative devils. And they’re in the process of really messing things up for you. You just don’t know it yet.