Secrets of Mental Math

Watch Secrets of Mental Math

  • 2011
  • 1 Season

In Secrets of Mental Math, Arthur T. Benjamin – an experienced mathematician and world-renowned mathemagician – reveals the secrets behind mental math and teaches viewers how to perform impressive calculations in their heads. This course is offered through The Great Courses, and is perfect for anyone interested in learning how to solve math problems quickly and accurately without the use of a calculator.

Throughout the course, Benjamin covers a range of concepts and techniques designed to help viewers develop their mental math skills. He starts by teaching basic math principles that lay the foundation for more complex calculations, such as addition, subtraction, multiplication, and division. He then moves on to more advanced topics, such as how to find square roots, calculate percentages, and solve algebraic equations.

One of the standout aspects of this course is Benjamin's teaching style. He has a natural flair for engaging an audience and making complex concepts easy to understand. Viewers will appreciate his sense of humor and energy, as well as his ability to break down mathematical concepts into simple steps. He demonstrates each technique using real-world examples, making it easy for viewers to visualize and apply the concepts.

This course is divided into 12 half-hour episodes, each of which covers a different topic. For example, in the first episode, Benjamin teaches viewers how to perform basic addition and subtraction in their heads. He then moves on to teach more advanced techniques such as "casting out nines" and "removing common factors" to simplify calculations.

Another episode focuses on multiplication and division, and viewers will learn how to quickly calculate values such as 3-digit by 3-digit multiplication, long division, and quick division by 5, 9, and 11. Benjamin also teaches viewers how to mentally multiply numbers with decimal points, and how to perform division without a calculator.

As the course progresses, the topics become increasingly complex. For example, in one episode Benjamin teaches viewers how to find the square root of any number, regardless of how large it is. He shows viewers how to use estimation and approximation techniques to make the process easier, and provides easy-to-remember formulas to help viewers calculate square roots in just a few seconds.

In another episode, Benjamin demonstrates how to use mental math to solve algebraic equations such as 2x + 3 = 7. He shows how to use techniques such as "cross multiplying" and "removing denominators" to simplify equations and solve for variables in just a few steps. By the end of the course, viewers will have a deep understanding of the principles of mental math, and will be able to perform impressive calculations in their heads that will leave others amazed.

Overall, Secrets of Mental Math is an excellent course for anyone interested in developing their mental math skills. Benjamin is an engaging and dynamic instructor who makes learning math both fun and rewarding. Viewers will love his enthusiasm and energy, and will appreciate the real-world examples he uses to demonstrate each concept. Whether you're a student looking to improve your math grades or someone who just wants to impress their friends, this course is an investment in your mental abilities that will pay off for years to come.

Secrets of Mental Math is a series that ran for 1 seasons (12 episodes) between January 16, 2011 and on The Great Courses

Secrets of Mental Math
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Seasons
Masters of Mental Math
12. Masters of Mental Math
January 16, 2011
Professor Benjamin concludes his exciting course by showing how you can use different methods to solve the same problem; how you can find the cube root of large perfect cubes; how you can use the techniques you've learned and mastered in the last 11 lectures; and more.
Advanced Multiplication
11. Advanced Multiplication
January 16, 2011
Professor Benjamin shows you how to do enormous multiplication problems in your head, such as squaring three-digit and four-digit numbers; cubing two-digit numbers, and multiplying two-digit and three-digit numbers. While you may not frequently encounter these large problems, knowing how to mentally solve them cements your knowledge of basic mental math skills.
Calendar Calculating
10. Calendar Calculating
January 16, 2011
The fun continues in this lecture with determining the day of the week of any date in the past or in the future. What day of the week was July 4, 2000? How about February 12, 1809? You'd be surprised at how easy it is for you to grasp the simple mathematics behind this handy skill.
Memorizing Numbers
9. Memorizing Numbers
January 16, 2011
Think that memorizing long numbers sounds impossible? Think again. Investigate a fun: and effective: way to memorize numbers using a phonetic code in which every digit is given a consonant sound. Then practice your knowledge by trying to memorize the first 24 digits of pi, all of your credit card numbers, and more.
The Speed of Vedic Division
8. The Speed of Vedic Division
January 16, 2011
Vedic mathematics, which has been around for centuries, is extremely helpful for solving division problems: much more efficiently than the methods you learned in school. Learn how Vedic division works for dividing numbers of any length by any two-digit numbers.
Intermediate Multiplication
7. Intermediate Multiplication
January 16, 2011
Take mental multiplication to an even higher level. Professor Benjamin shows you five methods for accurately multiplying any two-digit numbers. Among these: the squaring method (when both numbers are equal), the close together method (when both numbers are near each other), and the subtraction method (when one number ends in 6, 7, 8, or 9).
Mental Math and Paper
6. Mental Math and Paper
January 16, 2011
Sometimes we encounter math problems on paper in our daily lives. Even so, there are some rarely taught techniques to help speed up your calculations and check your answers when you are adding tall columns of numbers, multiplying numbers of any length, and more.
The Art of Guesstimation
5. The Art of Guesstimation
January 16, 2011
In most real-world situations: such as figuring out sales tax or how much to tip: you don't need an exact answer but just a reasonable approximation. Here, develop skills for effectively estimating addition, subtraction, multiplication, division, and square roots.
Divide and Conquer
4. Divide and Conquer
January 16, 2011
Turn now to the last fundamental operation of arithmetic: division. Explore a variety of shortcuts for dividing by one- and two-digit numbers; learn how to convert fractions such as 1/7 and 3/16 into decimals; and discover methods for determining when a large number is divisible by numbers such as 3, 7, and 11.
Go Forth and Multiply
3. Go Forth and Multiply
January 16, 2011
Delve into the secrets of easy mental multiplication: Professor Benjamin's favorite mathematical operation. Once you've mastered how to quickly multiply any two-digit or three-digit number by a one-digit number, you've mastered the most fundamental operations of mental multiplication and added a vital tool to your mental math tool kit.
Mental Addition and Subtraction
2. Mental Addition and Subtraction
January 16, 2011
Professor Benjamin demonstrates how easily you can mentally add and subtract one-, two-, and three-digit numbers. He also shows you shortcuts using the complement of a number (its distance from 100 or 1000) and demonstrates the uses of mental addition and subtraction for quickly counting calories and making change.
Math in Your Head!
1. Math in Your Head!
January 16, 2011
Dive right into the joys of mental math. First, learn the fundamental strategies of mental arithmetic (including the value of adding from left to right, unlike what you do on paper). Then, discover how a variety of shortcuts hold the keys to rapidly solving basic multiplication problems and finding squares.
Description
Where to Watch Secrets of Mental Math
Secrets of Mental Math is available for streaming on the The Great Courses website, both individual episodes and full seasons. You can also watch Secrets of Mental Math on demand at Amazon Prime, Amazon, Kanopy and Hoopla.
  • Premiere Date
    January 16, 2011