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"Parts per million" is a scientific unit of measurement that counts the number of units of one substance per one million units of another. But because it's hard to conceptualize really large numbers, it can be difficult to wrap our brains around what "one part per million" really means. Kim Preshoff (with help from 100+ animators from the TED-Ed Community) shares nine helpful ways to visualize it. View full lesson: https://ed.ted.com/lessons/how-to-visualize-one-part-per-million-kim-preshoff-the-ted-ed-community Subtítulos en español. Duración 2:17.

Conferencia de Dan Meyer para TED.

One deck. Fifty-two cards. How many arrangements? Let's put it this way: Any time you pick up a well shuffled deck, you are almost certainly holding an arrangement of cards that has never before existed and might not exist again. Yannay Khaikin explains how factorials allow us to pinpoint the exact (very large) number of permutations in a standard deck of cards. View full lesson: http://ed.ted.com/lessons/how-many-ways-can-you-arrange-a-deck-of-cards-yannay-khaikin Subtítulos en español.

You'd have a hard time finding the medieval city Königsberg on any modern maps, but one particular quirk in its geography has made it one of the most famous cities in mathematics. Dan Van der Vieren explains how grappling with Königsberg's puzzling seven bridges led famous mathematician Leonhard Euler to invent a new field of mathematics. View full lesson: http://ed.ted.com/lessons/how-the-konigsberg-bridge-problem-changed-mathematics-dan-van-der-vieren English subtitles.

1, 2, 3, 4, 5, 6, 7, 8, 9... and 0. With just these ten symbols, we can write any rational number imaginable. But why these particular symbols? Why ten of them? And why do we arrange them the way we do? Alessandra King gives a brief history of numerical systems. View full lesson: http://ed.ted.com/lessons/a-brief-history-of-numerical-systems-alessandra-king English subtitles.

What are logarithms and why are they useful? Get the basics on these critical mathematical functions -- and discover why smart use of logarithms can determine whether your eyes turn red at the swimming pool this summer. View full lesson: http://ed.ted.com/lessons/steve-kelly-logarithms-explained Subtítulos en español.

Without math, would our seafaring ancestors ever have seen the world? Great mathematical thinkers and their revolutionary discoveries have an incredible story. Explore the beginnings of logarithms through the history of navigation, adventure and new worlds. View full lesson: http://ed.ted.com/lessons/how-does-math-guide-our-ships-at-sea-george-christoph Subtítulos en español.

Without math, would our seafaring ancestors ever have seen the world? Great mathematical thinkers and their revolutionary discoveries have an incredible story. Explore the beginnings of logarithms through the history of navigation, adventure and new worlds. View full lesson: http://ed.ted.com/lessons/how-does-math-guide-our-ships-at-sea-george-christoph Subtítulos en español.

How high can you count on your fingers? It seems like a question with an obvious answer. After all, most of us have ten fingers -- or to be more precise, eight fingers and two thumbs. This gives us a total of ten digits on our two hands, which we use to count to ten. But is that really as high as we can go? James Tanton investigates. View full lesson: https://ed.ted.com/lessons/how-high-can-you-count-on-your-fingers-spoiler-much-higher-than-10-james-tanton Subtítulos en español. Esta es la escena de la película "Malditos bastardos" que se menciona: https://youtu.be/QmFDpiBOiTc

Why do arguments change people's minds in some cases and backfire in others? Hugo Mercier explains how arguments are more convincing when they rest on a good knowledge of the audience, taking into account what the audience believes, who they trust, and what they value. View full lesson here: https://ed.ted.com/lessons/how-can-you-change-someone-s-mind-spoiler-facts-don-t-work-so-well-hugo-mercier Subtítulos en español. Duración 4:25.

Dutch artist Piet Mondrian's abstract, rectangular paintings inspired mathematicians to create a two-fold challenge. Can you solve the puzzle and get to the lowest score possible? Gordon Hamilton shows how. View full lesson here: https://ed.ted.com/lessons/can-you-solve-the-mondrian-squares-riddle-gord-hamilton English subtitles. Duración 5:10.

Imagine trying to use words to describe every scene in a film, every note in a song, or every street in your town. Now imagine trying to do it using only the numbers 1 and 0. Every time you use the Internet to watch a movie, listen to music, or check directions, that's exactly what your device is doing, using the language of binary code. José Américo N L F de Freitas explains how binary works. Código binario, un sistema numérico de base dos. View full lesson here: https://ed.ted.com/lessons/how-exactly-does-binary-code-work-jose-americo-n-l-f-freitas English subtitles. Duración 4:25.

David Thouless, Duncan Haldane, and Michael Kosterlitz won the Nobel Prize in Physics in 2016 for discovering that even microscopic matter at the smallest scale can exhibit macroscopic properties and phases that are topological. But…, what does that mean? Fan Zhang helps decode some seriously tricky science. Topología. View full lesson here: https://ed.ted.com/lessons/what-in-the-world-is-topological-quantum-matter Subtítulos en español. Duración 4:45.

You've been chosen as a champion to represent your wizarding house in a deadly duel against two rival magic schools. Your opponents are a powerful sorcerer who wields a wand that can turn people into fish, and a powerful enchantress who wields a wand that turns people into statues. Can you choose a wand and devise a strategy that ensures you will win the duel? Dan Finkel shows how. View full lesson here: https://ed.ted.com/lessons/can-you-solve-the-wizard-standoff-riddle-daniel-finkel Subtítulos en español. Duración 4:16.

After a massive storm tears through the Hex Archipelago, you find five grizzled survivors in the water. As an act of gratitude for saving them, they reveal a secret - the island they were just on holds some buried treasure. But when the sailors try to describe the island, something seems off. Can you find the booty despite their strange instructions? Daniel Griller shows how. View full lesson here: https://ed.ted.com/lessons/can-you-solve-the-buried-treasure-riddle-daniel-griller This riddle is an adaptation of "Helen on the island" and appears in its original form in the book Elastic Numbers: 108 Puzzles for the Serious Problem Solver by the educator. Subtítulos en español. Duración 3:54.

Your interstellar police squad has tracked a group of criminals to a cluster of seven planets. Now you must apprehend them before their reinforcements arrive. Of course, the fugitives won't just stay put - they'll try to dodge you by moving from planet to planet. Can you devise a sequence for searching the planets that's guaranteed to catch them in ten warps or less? Edwin F. Meyer shows how. View full lesson here: https://ed.ted.com/lessons/can-you-solve-the-seven-planets-riddle-edwin-f-meyer The strategy of simplification allows problem-solvers to gain new insights about possible solutions that may be difficult to grasp when looking at too many variables. Subtítulos en español. Duración 4:30.

Mining unobtainium is hard work - the rare mineral appears in only 1% of rocks in the mine. But your friend Tricky Joe has something up his sleeve. The unobtainium detector he's been perfecting for months is finally ready, and it returns accurate readings 90% of the time. But can it really be trusted? Alex Gendler explains the false positive paradox and the base rate fallacy. View full lesson here: https://ed.ted.com/lessons/can-you-solve-the-false-positive-riddle-alex-gendler Want to find out how to win Monopoly using probability? Read this article to learn how to sharpen your board game skills with probability: http://mentalfloss.com/article/64314/math-hacks-will-give-you-edge-monopoly Why do we fall for false positives even though they're common? This piece breaks down the mathematical paradox: https://www.newscientist.com/article/2100273-why-do-we-fall-for-false-positives-even-though-theyre-common/ This scientific article describes the real-world influence of posterior probability: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4441123/ Subtítulos en español. Duración 4:20.

You've found Leonardo da Vinci's secret vault, secured by a series of combination locks. Fortunately, your treasure map has three codes: 1210, 3211000, and… hmm. The last one appears to be missing. Can you figure out the last number and open the vault? Tanya Khovanova shows how. View full lesson here: https://ed.ted.com/lessons/can-you-solve-the-leonardo-da-vinci-riddle-tanya-khovanova Autobiographical numbers: https://blog.tanyakhovanova.com/2007/12/autobiographical-numbers/ https://en.wikipedia.org/wiki/Self-descriptive_number English subtitles. Duración 4:31.

The villainous Dr. Schrödinger has developed a growth ray and intends to create an army of giant cats to terrorize the city. Your team of secret agents has tracked him to his underground lab. You burst in to find… that it's a trap! Can you escape from Dr. Schrödinger's lair and save the day? Dan Finkel shows how. View full lesson here: https://ed.ted.com/lessons/can-you-solve-the-giant-cat-army-riddle-dan-finkel Subtítulos en español. Duración 4:45.

You're overseeing the delivery of supplies to a rebel base in the heart of enemy territory. To get past customs, all packages must follow this rule: if a box is marked with an even number on the bottom, it must be sealed with a red top. One of the four boxes was sealed incorrectly, but they lost track of which one. Can you figure out which box it is and save the day? Alex Gendler shows how. View full lesson here: https://ed.ted.com/lessons/can-you-solve-the-rebel-supplies-riddle-alex-gendler Falacia de la afirmación del consecuente, también llamado error inverso (affirming the consequent, sometimes called converse error, fallacy of the converse or confusion of necessity and sufficiency). Subtítulos en español. Duración 4:21.

Your team has developed a probe to study an alien monolith. It needs protective coatings - in red, purple or green - to cope with the environments it passes through. Can you figure out how to apply the colors so the probe survives the trip? Dan Finkel shows how. View full lesson here: https://ed.ted.com/lessons/can-you-solve-the-alien-probe-riddle-dan-finkel Subtítulos en español. Duración 4:38.