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While the Earth's oceans are known as five separate entities, there is really only one ocean. So, how big is it? As of 2013, it takes up 71% of the Earth, houses 99% of the biosphere, and contains some of Earth's grandest geological features. Scott Gass reminds us of the influence humans have on the ocean and the influence it has on us. View full lesson: https://ed.ted.com/lessons/how-big-is-the-ocean-scott-gass Subtítulos en español. Duración 5:12.

A generation of schoolchildren is being exhorted to believe in their brain's elasticity. Does it really help them learn? «We simply haven't been able to translate the research on the benefits of a growth mindset into any sort of effective, consistent practice that makes an appreciable difference in student academic attainment». «Motivation doesn't always lead to achievement, but achievement often leads to motivation».

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.

Have you ever come across an oddly stretched image on the sidewalk, only to find that it looks remarkably realistic if you stand in exactly the right spot? These sidewalk illusions employ a technique called anamorphosis - a special case of perspective art where artists represent 3D views on 2D surfaces. So how is it done? Fumiko Futamura traces the history and mathematics of perspective.

Documentación navegable del curso del ITE GeoGebra en la Educación Primaria

Documentación navegable del curso del ITE sobre Geogebra en la enseñanza de las matemáticas

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'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.

"It is possible to make students and teachers feel positive about pretty much any innovation. What we really need to know is that it leads to more learning".

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.

When they're used well, graphs can help us intuitively grasp complex data. But as visual software has enabled more usage of graphs throughout all media, it has also made them easier to use in a careless or dishonest way - and as it turns out, there are plenty of ways graphs can mislead and outright manipulate. Lea Gaslowitz shares some things to look out for.

The ratio of a circle's circumference to its diameter is always the same: 3.14159... and on and on (literally!) forever. This irrational number, pi, has an infinite number of digits, so we'll never figure out its exact value no matter how close we seem to get. Reynaldo Lopes explains pi's vast applications to the study of music, financial models, and even the density of the universe. View full lesson: https://ed.ted.com/lessons/the-infinite-life-of-pi-reynaldo-lopes Subtítulos en español. Duración 3:33.

Direct instruction gets no respect. Strange, cause it works! Our new blog at https://t.co/rzZqEXV6pd With @P_A_Kirschner

An unusual and attractive edition of Euclid was published in 1847 in England, edited by a mathematician named Oliver Byrne. It covers the first 6 books of Euclid's Elements of Geometry. What distinguishes Byrne's edition is that he attempts to present Euclid's proofs in terms of pictures, using as little text - and in particular as few labels - as possible. What makes the book especially striking is his use of colour. Incidentally, at the time of its publication the first 6 books, which are the ones concerrned with plane geometry, made up the basic mathematics curriculum for many students.

Imagine a two-dimensional world -- you, your friends, everything is 2D. In his 1884 novella, Edwin Abbott invented this world and called it Flatland. Alex Rosenthal and George Zaidan take the premise of Flatland one dimension further, imploring us to consider how we would see dimensions different from our own and why the exploration just may be worth it. View full lesson: https://ed.ted.com/lessons/exploring-other-dimensions-alex-rosenthal-and-george-zaidan Subtítulos en español. Duración 4:38.

"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.

You and your team have crash-landed on an ancient planet. Can you appease the three alien overlords who rule it and get your team safely home? Created by logician Raymond Smullyan, and popularized by his colleague George Boolos, this riddle has been called the hardest logic puzzle ever. Alex Gendler shows how to solve it. View full lesson here: https://ed.ted.com/lessons/can-you-solve-the-three-gods-riddle-alex-gendler Subtítulos en español. Duración 4:40.

«The textbooks my students use follow a formula. A chapter will introduce a new concept and related procedures. At the end of the chapter will be a number of questions related to the concept for students to answer. Drank neat, this is not interleaving». «There is growing evidence that the effectiveness of retrieval practice, distributed practice and all those other ways of introducing desirable difficulties depend on element interactivity. The initial experiments in many of these areas were conducted using relatively simple tasks such as learning lists of words. However, when we move to more complex tasks, we start to see a difference emerge between relative novices and relative experts. In a recent experiment, variation of task was found to be beneficial for relative experts but not for novices. It may be the case that the textbooks have it right after all. When first meeting a complex concept, there may be enough difficulties for students to attend to without introducing supposedly desirable ones».

We like to think of numbers as being pretty objective. 1 + 1 is 2. Always. But just like words or images, numbers are open to a whole smorgasbord of possible interpretations when it comes to data. Two people can take the same data set and end up with completely different results just based on how they decided to analyze it. In this episode of Study Hall: Data Literacy, Jessica Pucci walks us through misconceptions in Data! English subtitles. Duración 9:30.

The world is much better than it has ever been, as evidenced by the following economic data visualized by Max Roser at University of Oxford.