The Great Courses – The Power of Mathematical Visualization 2023-12

The Great Courses – The Power of Mathematical Visualization 2023-12 Downloadly IRSpace

Apr 17, 2025 - 14:10 Updated: Apr 21, 2025 - 06:56

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The Great Courses – The Power of Mathematical Visualization 2023-12

The Power of Mathematical Visualization, Many people believe they simply aren’t good at math—that their brains aren’t wired to think mathematically. But just as there are multiple paths to mastering the arts and humanities, there are also alternate approaches to understanding mathematics. One of the most effective methods by far is visualization. If a picture speaks a thousand words, then in mathematics a picture can spawn a thousand ideas. The Power of Mathematical Visualization teaches you these vital problem-solving skills in a math course unlike any you’ve ever taken. Taught by award-winning Professor James S. Tanton of the Mathematical Association of America (MAA), these 24 half-hour lectures cover topics in arithmetic, algebra, geometry, number theory, probability, statistics, topology, and other fields—all united by fascinating connections that you literally see in graphics and projects designed by Professor Tanton.

In demand worldwide for his teacher and student workshops, Dr. Tanton is MAA’s Mathematician-at-Large—a globe-trotting advocate for teaching math “with beauty and joy and wonder and humanness,” as he was recently quoted in The New Yorker magazine. Once your mind is attuned to think about mathematical relationships in terms of visual models such as dots-and-boxes, the insights start to pile up. That’s when you are truly doing mathematics—not just mechanically following an algorithm or formula you memorized in school. Visual thinking lets you see the logical steps that lead to an answer and grasp the solution that must be true. Throughout the course, Dr. Tanton often adjourns to his tabletop lab to illustrate mathematical ideas with activities that you can try at home, involving poker chips, marbles, strips of paper, and other props. Some seem positively magical, like the miraculous division of a pile of jelly beans in the last lecture, where your method is inspired by a simple folding pattern.

What you’ll learn

Long division: Elementary school students typically learn a traditional method of long division that works but can seem abstract. By contrast, the dots-and-boxes approach is more intuitive and actually explains why the traditional method works.
Binary arithmetic: The binary base system uses only 1’s and 0’s, which is how computers calculate with on/off switches. The game of dots-and-boxes makes arithmetic in binary and any other base system child’s play—even for fractional bases.
Polynomials: The study of polynomials in algebra is, astoundingly, mostly a repeat of grade-school arithmetic, done in base x rather than base 10. Dots-and-boxes comes to the rescue for intimidating-looking polynomial problems, and even for dividing polynomials.

Who this course is for

math students at every level, who want to survey the subject from the refreshing heights of the visual perspective;
puzzle and math aficionados, who love the creative side of mathematics and the opportunity for endless exploration;
math teachers, who want an idea-filled 12-hour demonstration of joyous and effective teaching; and
parents, who can best help their children with math homework by fostering a playful, enquiring attitude—just like Dr. Tanton’s.

Specificatoin of The Power of Mathematical Visualization

Publisher : TTC
Teacher : James S. Tanton
Language : English
Level : All Levels
Number of Course : 24
Duration : 12 hours and 22 minutes

The Great Courses – The Power of Mathematical Visualization 2023-12