Thinking Mathematics 8

This textbook invites readers to explore mathematical thinking by finding the beauty in the subject. With an accessible tone and stimulating puzzles, the author will convince curious non-mathematicians to continue their studies in the area. It has an expansive scope, covering everything from probability and graph theory to infinities and Newton’s method. Many examples of proofs appear as well, offering readers the opportunity to explore these topics with the amount of rigor that suits them. Programming exercises in Python are also included to show how math behaves in action.

Discover mathematics as an artistic and creative realm that contains some of the greatest ideas of human history. This course explores infinity, the fourth dimension, probability, chaos, fractals, and other fantastic themes.

Every child has a right to make sense of math, and to use math to make sense of their worlds.

Learn how to think the way mathematicians do – a powerful cognitive process developed over thousands of years.

Every child has a right to make sense of math, and to use math to make sense of their worlds.

Over the past few decades there has been increased interest in how students and teachers think and learn about negative numbers from a variety of perspectives. In particular, there has been debate about when integers should be taught and how to teach them to best support students’ learning. This book brings together recent work from researchers to illuminate the state of our understanding about issues related to integer addition and subtraction with a goal of highlighting how the variety of perspectives support each other or contribute to the field in unique ways.