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The Joy of Mathematics

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The Mathematics of Games and Puzzles: From Cards to Sudoku

Famous Mathematicians

Geometry - An Interactive Journey to Mastery

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247 Videos in Mathematics

The Power of a Mathematical Picture
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
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
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…
Visualizing Negative Numbers
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…
Why Study 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 18 videos in this collection focus on all aspects of Algebra, from logarithms to quadratic equations and partial fractions. Clip #1: "Mathematical Language" - Clip #2: "Powers or Indices" - Clip #3: "Logarithms" - Clip #4: "Substitution and Formulae"…
18 videos
The Joy of Math - The Big Picture
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.
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…
Visualizing Extraordinary Ways to Multiply
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
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,…
Visualizing Probability
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…
Let the Games Begin!
Episode 1 of The Mathematics of Games and Puzzles
Explore some general strategies for successfully solving simple games and puzzles. As you hone your skills at games and puzzles, including 20 Questions, Mastermind, Ghost, The Tower of Hanoi, variations of Tic Tac Toe, and Cram (a cross between checkers…
Part of the Series: Probability and Statistics Tutor Series
This program covers the important topic of permutations in Probability and Statistics. We begin by discussing what a permutation is and why it is a central topic in probability. Next, we solve several problems that involve permutations to give students…
Inside Einstein's Mind
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…
Geometry—Ancient Ropes and Modern Phones
Episode 1 of Geometry
Explore the origins of one of the oldest branches of mathematics. See how geometry not only deals with practical concerns such as mapping, navigation, architecture, and engineering, but also offers an intellectual journey in its own right--inviting big, deep questions.
Hard Problems - The Road to the World's Toughest Math Contest
Hard Problems documents the formation of the 2006 U. S. International Mathematical Olympiad (IMO) team, showing how high school students are selected, train, and then compete with students from 90 countries in the 2006 IMO. Produced in association with the…
The 11 videos in this collection focus on all aspects of Trigonometry, from Pythagoras' theorem to cosec, sec and cot. Clip #1: "Pythagoras' Theorem" - Clip #2: "Trig Ratios in a Right Angled Triangle" - Clip #3: "Trig Ratios of…
11 videos
Visualizing the Fibonacci Numbers
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…
Introduction to Logical Concepts
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…