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Maths by inquiry. reSolve: Mathematics by Inquiry is a national program designed to promote relevant, rigorous and engaging mathematics from Foundation to Year 10. Resources for classroom use and professional learning are available free to all Australian teachers and are linked through Scootle. More than 300 reSolve Champions across Australia are committed to working with colleagues to promote a spirit of inquiry in school mathematics. At the centre of reSolve is the reSolve: Mathematics by Inquiry Protocol. The Protocol sets out a vision for teaching and learning mathematics and underpins all aspects of the project. It is organised around three focal points: - reSolve mathematics is purposeful - reSolve tasks are inclusive and challenging - reSolve classrooms have a knowledge-building culture

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.

The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from. English subtitles.

Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient and hotly debated question. View full lesson: https://ed.ted.com/lessons/is-math-discovered-or-invented-jeff-dekofsky Subtítulos en español. Duración 4:58.

Euclid, known as the "Father of Geometry," developed several of modern geometry's most enduring theorems. But what can we make of his mysterious fifth postulate, the parallel postulate? Jeff Dekofsky shows us how mathematical minds have put the postulate to the test and led to larger questions of how we understand mathematical principles. View full lesson: https://ed.ted.com/lessons/euclid-s-puzzling-parallel-postulate-jeff-dekofsky Subtítulos en español. Duración 3:25.

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.

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.

Estupendo artículo sobre Mathematical Assistant on Web, magnífica aplicación sobre cálculo en una y dos variables.

Problemas de los años 2008 a 2012, 25 problemas por año, y sus soluciones. Organised by the United Kingdom Mathematics Trust. Para alumnos en «School Year 11 or below». «School Year 11 or below» corresponde con 4º de ESO.

Archimedes once said "Give me a place to stand, and I shall move the Earth." While the idea of a person moving such a huge mass on their own might sound impossible, chances are you've seen this idea in action at your local playground. Andy Peterson and Zack Patterson use the seesaw to illustrate the amazing implications and uses of the lever. View full lesson here: https://ed.ted.com/lessons/the-mighty-mathematics-of-the-lever-andy-peterson-and-zack-patterson Subtítulos en español. Duración 4:34.

Geoboard is a tool for exploring a variety of mathematical topics introduced in the elementary and middle grades. Learners stretch bands around the pegs to form line segments and polygons and make discoveries about perimeter, area, angles, congruence, fractions, and more.

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.

ITEMS (Improving Teacher Education in Mathematics and Science) es un proyecto europeo del programa Lifelong Learning Programme KA4(2009- 2010). Su objetivo es desarrollar módulos on line para la enseñanza/aprendizaje de las ciencias y las matemáticas.

Mathematics is the King of Arts and the Queen of all Sciences. Página que propone problemas de ingenio para resolver

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.

A remix of the birthday «paradox». The world of mathematics is full of dazzling, wormhole-through-reality connections. Paradoja del cumpleaños.

Traducción libre de un artículo de Peter Rowlet en Nature: "The unplanned impact of mathematics" Nature 475: 166-169, 14 July 2011. Artículo de Francisco R. Villatoro (@emulenews).

En el capítulo número 73 de la serie "The Big Bang Theory", Sheldon Cooper dice que su número favorito es el 73, que es un número único y da varias propiedades de esta cifra. Pero, ¿es verdad que el 73 es tan especial? ¿Es el único número que tiene esas propiedades? Aquí puedes ver el artículo publicado en la American Mathematical Monthly: https://math.dartmouth.edu/~carlp/sheldon02132019.pdf Vídeo de Eduardo Sáenz de Cabezón. Duración 6:55.

Colin Foster reflects on dilemmas in teaching students how to solve mathematical problems. Visto en este hilo de Twitter de @ollie_lovell: https://twitter.com/ollie_lovell/status/1102665299415859200 «1. Fluency in facts, procedures & concepts act as a foundation for problem solving. 2. One main point of consistently asking students the same questions, in order to prompt their thinking, is that they then internalise these these questions and they become part of the students' natural metacognitive processes whilst problem solving. 3. Heuristics like 'solve a simpler problem first' describe well what an expert problem solver does, but give little guidance to a novice».