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How much do you know about the world? Hans Rosling, with his famous charts of global population, health and income data (and an extra-extra-long pointer), demonstrates that you have a high statistical chance of being quite wrong about what you think you know. Play along with his audience quiz - then, from Hans' son Ola, learn 4 ways to quickly get less ignorant. Subtítulos en español.

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.

Jugando con fracciones de colores.

Ejemplo de cómo obtener la solución de una ecuación con Wolfram|Alpha.

¿Sabías de la existencia de los llamados números trascendentes? ¿No? Pues déjame que te explique qué son en este vídeo. ¡Ah! Y también vamos a ver un sorprendente misterio sobre los famosos π y e, que, por cierto, son trascendentes. Números algebraicos. Vídeo de Eduardo Sáenz de Cabezón. Duración 4:22.

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.

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.

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.

En Derivando nos gusta enseñarte las fórmulas matemáticas más bellas, y la de hoy es una de ellas: la FÓRMULA PANDIGITAL que es una buena aproximación al número "e". Vídeo de Eduardo Sáenz de Cabezón. Duración 4:10.

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.

A la temprana edad de 23 años, Isaac Newton retornó a su pueblo huyendo de una plaga que provocó el cierre de la Universidad de Cambridge. En tan solo dos años, de 1665 a 1666, Newton fue capaz de realizar la hazaña intelectual más asombrosa de la historia, desarrollando, entre otros temas, el cálculo integral, la naturaleza de la luz y refinando completamente la teoría gravitacional. Hoy no seríamos capaces de reconocer nuestro mundo sin la nueva matemática y física desarrollada por Newton durante esos años, que son la base de nuestro mundo tecnológico. También se comenta la disputa con Leibniz por el descubrimiento del cálculo infinitesimal. Duración 4:25.

Tutorial en el que se muestra la resolución de sistemas de ecuaciones lineales (grado 1) de dos variables por el método gráfico. Vídeo de Álvaro Reverte. Duración 24:55. - Inicio a 01:50: Definiciones iniciales. - 01:50 a 15:10: Explicación del método gráfico. Ejemplo 1. - 15:10 a 18:40: Ejemplo 2. - 18:40 a 22:30: Explicación de los distintos tipos de sistemas en función de sus soluciones. Ejemplos 3-4-5. - 22:30 a Fin: Utilización de la aplicación online DESMOS para la resolución de sistemas de ecuaciones.

A la hora de pagar una cena con amigos, qué es mejor ¿pagar cada uno su plato o dividir la cuenta total a partes iguales? ¡Vamos a intentar tomar la mejor decisión con ayuda de las matemáticas y la teoría de juegos! Seguro que en la próxima cena, la decisión será más fácil. Vídeo de Eduardo Sáenz de Cabezón. Duración 4:25.