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Life on Mars?

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Stephen Petranek: Your kids might live on Mars. Here's how they'll survive

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It sounds like science fiction, but journalist Stephen Petranek considers it fact: within 20 years, humans will live on Mars. In this provocative talk, Petranek makes the case that humans will become a spacefaring species and describes in fascinating detail how we'll make Mars our next home.

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Music and Repetition

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Why we love repetition in music - Elizabeth Hellmuth Margulis

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How many times does the chorus repeat in your favorite song? How many times have you listened to that chorus? Repetition in music isn't just a feature of Western pop songs, either; it's a global phenomenon. Why?

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Magic and Crosswords?!

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David Kwong is a magician who makes crossword puzzles - in other words, a pretty nerdy guy. And for his next trick ...

This talk was presented at an official TED conference, and was featured by our editors on the home page.

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David Kwong: Two nerdy obsessions meet -- and it's magic

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David Kwong is a magician who makes crossword puzzles -- in other words, a pretty nerdy guy. And for his next trick ...

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The beauty of Moonlight Sonata <3

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Natalya would like to acknowledge the amazing support of her friends Wendy Cho, Carolyn Meldgin, Antoinette Evans, Will McFaul, Aaron Williams, and her fantastic students and colleagues at Countryside School and Math Zoom, especially Chris Antonsen, Kim File, Harold Reiter, Jeffrey Huang, Kashyap Joshi, and Priscilla Wang.

Frequency and Music
Our abilities to recognize patterns in music using sine waves help to "see" innovative ways of problem-solving. For teachers, a great introduction to teaching frequency theory can be found here ( http://illuminations.nctm.org/Lesson.aspx?id=2359). Students might enjoy discussing the activity found in NCTM Illuminations to explore more with the mathematics of music.

Sound travels through energy in the form of wavelengths, which can be described using the function of the form f(x) = A sin (B x). For a nice overview of sine waves, watch The Math of Music.

Frequency theory has many interesting and unique properties, some of which lead to harmonic analysis in upper-level math classes. Where Math Meets has more exploration and analysis.

Not all frequency theories hold true. Read this webpage: The Complication with Consonance for more analysis and exploration.
Patterns and Music
A great overview of geometry of triads, along with reflection and rotation, can be viewed here the Geometry of Consonance . Some Fibonacci fans might be delighted to know this intricate and beautiful pattern can be found on piano keyboards.

Music theory studies how to use patterns to create music. An excellent analysis of Moonlight Sonata can be found here.

The final piece in this video plays a Bach piece. More information about the Fugue can be read about in a fascinating exposition, G ö del, Escher, Bach: An Eternal Golden Braid. The "Baroque" ("broke") style has introduced hundreds to the idea of composing music using patterns, and some would argue Bach's pieces are more mathematical in nature than artistic.
About the Composer
As indicated, Beethoven was going deaf when he wrote Moonlight Sonata. Listen to Beethoven's Moonlight Sonata here. The piece was widely received by his audience partly because of its moving harmony combined with a gorgeous series of triads. The movie, Beethoven Lives Upstairs, is a classic that explores the story of the musician who composed it.

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Music and math: The genius of Beethoven - Natalya St. Clair

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How is it that Beethoven, who is celebrated as one of the most significant composers of all time, wrote many of his most beloved songs while going deaf? The answer lies in the math behind his music. Natalya St. Clair employs the "Moonlight Sonata" to illustrate the way Beethoven was able to convey emotion and creativity using the certainty of mathematics.

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Clichè

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John Mayer - Your Body Is A Wonderland | Music Video, Song Lyrics and Karaoke

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Learn English in a fun way with the music video and the lyrics of the song "Your Body Is A Wonderland" of John Mayer

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M Word
M Forms
Encurtador de Links - gg.gg
Nearpod - Apresentação de slides que passam no PC dos alunos
Edupulses - Não só a nuvem, quizzes, etc
Padlet - Organizador, também dá pra contribuir com vários alunos
Powtoon - Animações
Google Keep - Organizador