Terence Tao – MasterClass – Teaches Mathematical Thinking

World-renowned mathematician Dr. Terence Tao teaches you his approach to everyday problem-solving—without complex equations or formulas.

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Terence Tao – MasterClass – Teaches Mathematical Thinking

A MacArthur Fellow and Fields Medal winner, Terence Tao, PhD, was studying university-level math by age 9. Now the “Mozart of Math” is breaking down his approach to everyday problem-solving—without complex equations or formulas. Learn how to deconstruct challenges, use storytelling as a tool, and discover solutions, whether you’re trying to level up in a computer game or just catch your plane on time.

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1. Meet Your Instructor

Terence Tao invites you to see math the way he does—as a beautiful piece of art—and encourages you to open yourself to a new understanding of mathematics as an accessible and exciting opportunity for exploration.

2. Terence Tao’s Journey

Looking back, Terence can’t remember life before math. He was always drawn to it and naturally loved it. In this lesson, he shares the inner workings of a mathematical life and the difference between mathematical competitions and research.

3. Demystifying Math

Terence explains that the outlook on math in education used to be that it was impractical; it was like learning complicated magic just to pass a test. He also emphasizes that anyone can lean into an innate ability to think like a mathematician.

4. Math in Your Everyday Life

Not every problem requires a formula or mathematical training to find a solution. Terence shows you how you can apply math in everyday situations, such as wine measuring, and offers suggestions for enjoying the process of learning.

5. Choosing the Problem to Solve

Terence challenges you to choose problems just outside your range and shares a case study in which he applies math to make airports more efficient. This example illustrates how asking questions in a different way can help you make progress.

6. Solving Problems With Story

Using the analogy of a detective solving a mystery, Terence explains how curiosity and storytelling offer a creative approach to problem-solving. The process of elimination, building narratives, and asking questions are key to moving forward.

7. Transforming Problems

Visualization, thinking about a problem in a different way—sometimes even in a physical way—may help lead you to solutions. This process of transforming your thinking can help you move beyond the limitations of intuition and preconceived ideas.

8. Games, Cheats, and Puzzles

Terence has always been drawn to imaginary scenarios that operate within a set of guidelines or rules. He demonstrates a puzzle and how it can actually provide a life-saving solution, and he converts a math puzzle into tic-tac-toe.

9. Math Fails

Forget the intense pressure of giving the correct answer on a school math test. Terence shares a personal life lesson to teach you that there is a benefit to failing: There may be clues in your failed process that lead to breakthroughs later.

10. Stumped

As you pursue your understanding of math, you will likely encounter roadblocks in solving problems. Terence offers tips for unlocking clues and shares how gaining knowledge by directing your attention to other problems can bring you full circle.

11. Finding Strength in Numbers

Math has evolved into a team activity, and being open to input from others is key to success. Terence explains how he leans on research from fellow mathematicians—and how students and peers interact with him in the same way through blogs.

12. Onward

We are all part of a larger math story. Terence is one of many mathematical figures who influences our understanding of the world, and there will be many after him. The human tendency to ask questions means math and science are ever-evolving.