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Features

Arthur Benjamin Ph.D.

Professor at Harvey Mudd College

Professor at Johns Hopkins University

Arthur T. Benjamin

David Kung

James S. Tanton

Howard Burton

Anthony J. Leggett

Betty-Jo Ballard

Charles Goldstein

Chris Landauer

Ed Angel

Eric Bellman

Gabriel Bellman

Ian Stewart

James Robert Brown

Jay O. Sanders

Joan Spangler

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Page 1

The Power of a Mathematical Picture

Part of the Series: The Power of Mathematical Visualization

Part of the Series: The Power of Mathematical Visualization

Professor Tanton reminisces about his childhood home, where the pattern on the ceiling tiles inspired his career in mathematics. He unlocks the mystery of those tiles, demonstrating the power of visual thinking. Then he shows how similar patterns hold the…

Everything in This Lecture Is False

Part of the Series: Mind-Bending Math: Riddles and Paradoxes

Part of the Series: Mind-Bending Math: Riddles and Paradoxes

Plunge into the world of paradoxes and puzzles with a "strange loop," a self-contradictory problem from which there is no escape. Two examples: the liar's paradox and the barber's paradox. Then "prove" that 1+1=1, and visit the Island of Knights…

Math in Your Head!

Episode 1 of Secrets of Mental Math

Episode 1 of Secrets of Mental Math

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…

N is a Number: A Portrait of Paul Erdös

A man with no home and no job, Paul Erdos was the most prolific mathematician who ever lived. Born in Hungary in 1913, Erdos wrote and co-authored over 1,500 papers and pioneered several fields in theoretical mathematics. At the age…

Why Study Logic?

Episode 1 of An Introduction to Formal Logic

Episode 1 of An Introduction to Formal Logic

Influential philosophers throughout history have argued that humans are purely rational beings. But cognitive studies show we are wired to accept false beliefs. Review some of our built-in biases, and discover that logic is the perfect corrective. Then survey what…

Big Dream - Young Women Entering STEM Fields

This film follows the intimate stories of seven young women who are breaking barriers and overcoming personal challenges to follow their passion in science, math, computing & engineering (STEM) fields. Through video diaries and verite moments, each of these girls…

The Joy of Math - The Big Picture

Episode 1 of The Joy of Mathematics

Episode 1 of The Joy of Mathematics

Professor Benjamin introduces the ABCs of math appreciation: The field can be loved for its applications, its beauty and structure, and its certainty. Most of all, mathematics is a source of endless delight through creative play with numbers.

Introduction to Logical Concepts

Episode 2 of An Introduction to Formal Logic

Episode 2 of An Introduction to Formal Logic

Practice finding the logical arguments hidden in statements by looking for indicator words that either appear explicitly or are implied--such as "therefore" and "because." Then see how to identify the structure of an argument, focusing on whether it is deductive…

Visualizing Negative Numbers

Part of the Series: The Power of Mathematical Visualization

Part of the Series: The Power of Mathematical Visualization

Negative numbers are often confusing, especially negative parenthetical expressions in algebra problems. Discover a simple visual model that makes it easy to keep track of what's negative and what's not, allowing you to tackle long strings of negatives and positives--with…

Inside Einstein's Mind

Part of the Series: NOVA

Part of the Series: NOVA

On November 25th, 1915, Einstein published his greatest work: general relativity. The theory transformed our understanding of nature's laws and the entire history of the cosmos, reaching back to the origin of time itself. Now, in celebration of the 100th…

Informal Logic and Fallacies

Episode 3 of An Introduction to Formal Logic

Episode 3 of An Introduction to Formal Logic

Explore four common logical fallacies. Circular reasoning uses a conclusion as a premise. Begging the question invokes the connotative power of language as a substitute for evidence. Equivocation changes the meaning of terms in the middle of an argument. And…

Mastering Rubik’s Cube

Episode 9 of The Mathematics of Games and Puzzles

Episode 9 of The Mathematics of Games and Puzzles

It's one of the most famous puzzles ever invented. But Professor Benjamin has an easy-to-learn, eight-step method for solving this mind-bending puzzle quickly and accurately--every time. After examining the mathematics behind the cube, you'll follow him step-by-step through an algorithm…

Elementary Math Isn't Elementary

Part of the Series: Mind-Bending Math: Riddles and Paradoxes

Part of the Series: Mind-Bending Math: Riddles and Paradoxes

Discover why all numbers are interesting and why 0.99999... is nothing less than the number 1. Learn that your intuition about breaking spaghetti noodles is probably wrong. Finally, see how averages - from mileage to the Dow Jones Industrial Average…

Visualizing the Fibonacci Numbers

Part of the Series: The Power of Mathematical Visualization

Part of the Series: The Power of Mathematical Visualization

Learn how a rabbit-breeding question in the 13th century led to the celebrated Fibonacci numbers. Investigate the properties of this sequence by focusing on the single picture that explains it all. Then hear the world premiere of Professor Tanton's amazing…

Visualizing Probability

Part of the Series: The Power of Mathematical Visualization

Part of the Series: The Power of Mathematical Visualization

Probability problems can be confusing as you try to decide what to multiply and what to divide. But visual models come to the rescue, letting you solve a series of riddles involving coins, dice, medical tests, and the granddaddy of…

Visualizing Extraordinary Ways to Multiply

Part of the Series: The Power of Mathematical Visualization

Part of the Series: The Power of Mathematical Visualization

Consider the oddity of the long-multiplication algorithm most of us learned in school. Discover a completely new way to multiply that is graphical--and just as strange! Then analyze how these two systems work. Finally, solve the mystery of why negative…

Visualizing Ratio Word Problems

Part of the Series: The Power of Mathematical Visualization

Part of the Series: The Power of Mathematical Visualization

Word problems. Does that phrase strike fear into your heart? Relax with Professor Tanton's tips on cutting through the confusing details about groups and objects, particularly when ratios and proportions are involved. Your handy visual devices include blocks, paper strips,…

I Want To Be A Mathematician - A Conversation with Paul Halmos

A 44-minute interview with mathematician Paul Halmos that touches on the Moore Method, becoming a mathematician, great teachers, designing a course, writing, and the state of education in the United States. The interview conducted in 1999 by Peter Renz and…

Strangeness in Statistics

Part of the Series: Mind-Bending Math: Riddles and Paradoxes

Part of the Series: Mind-Bending Math: Riddles and Paradoxes

While some statistics are deliberately misleading, others are the product of confused thinking due to Simpson's paradox and similar errors of statistical reasoning. See how this problem arises in sports, social science, and especially medicine, where it can lead to…

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