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The Harmonious Mathematics of Music According to legend, the Ancient Greek Pythagoras was once walking on the streets of Samos, when the sounds of blacksmiths’ hammering suddenly gave him an epiphany. Pythagoras rushed into the shop and, as he analyzed mathematically the shapes of the blacksmiths’ hammers, he laid the foundations of music that today’s Rihanna, Shakira and others are building upon. Wait a minute… Are you talking about the guy from the Pythagorean theorem? I am. And despite what you’ve learned at school, this Pythagorean theorem is absolutely not Pythagoras’ greatest idea — most notably because he probably wasn’t even the one who came up with the Pythagorean theorem. Inspiration “Gary and I use Trello to run our house, taking the best from agile to keep things ticking over smoothly. We have daily stand-ups where we raise tasks, which we then keep track of on Trello. Each task is made into a card, which we can then makes progress notes on, give priority using categories, or assign to either one of us if needed. On Sundays we look back on ‘Completed’ cards, and pat ourselves on the back for a productive week. It’s nice to get things done without nagging, and takes a lot of stress out of doing chores!” Read more

Get Started! Welcome aboard! This is where your journey with Dream Broker and online videos is about to begin. All the videos in this channel are here to make your journey more comfortable and easy. Sort by: Default orderMost recentMost watched Welcome to Dream Broker Studio! Fibonacci GCD's, please Fibonacci numbers exhibit striking patterns. Here's one that may not be so obvious, but is striking when you see it. Recall the Fibonacci numbers: n: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,... fn: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377,... Now let's look at some of their greatest common divisors (gcd's): Google Keep: Lit Circles - Teacher Tech Guest Blog post by Rayna Freedman (@rlfreedm) Digital PostIts I fell in love with Google Keep at first sight. Once I saw the color-coded notes, reminders, labels (think hashtags), and image upload capability my head began swirling with possibilities for my 5th-grade students. What a great tool to help students organize their assignments or projects! Aha! MagazineFactory – a web tool for publishing International Electronic Magazines for School Communities You are now using the web tool called MagazineFactory. This version facilitates genuine international collaboration with a foreign school. MagazineFactory [based on the original product called Tidningsfabriken] is a popular and versatile concept for developing web magazines for various purposes and contexts.

A Random Math Fun Fact! From the Fun Fact files, here is a Random Fun Fact, at the Advanced level: The traditional proof that the square root of 2 is irrational (attributed to Pythagoras) depends on understanding facts about the divisibility of the integers. (It is often covered in calculus courses and begins by assuming Sqrt[2]=x/y where x/y is in smallest terms, then concludes that both x and y are even, a contradiction. See the Hardy and Wright reference.) But the proof we're about to see (from the Landau reference) requires only an understanding of the ordering of the real numbers!

21 Digital Tools To Build Vocabulary - 21 Digital Tools To Build Vocabulary by Kimberly Tyson, Ph.D If you follow this blog, you know that I believe effective vocabulary instruction is just about the most important instructional activity for teachers to get right. For lots of reasons. Vocabulary influences fluency, comprehension, and student achievement. Sums of Two Squares Ways In the Fun Fact Sums of Two Squares, we've seen which numbers can be written as the sum of two squares. For instance, 11 cannot, but 13 can (as 32+22). A related question, with a surprising answer, is: on average, how many ways can a number can be written as the sum of two squares? We should clarify what we mean by average. Let W(N) is the number of ways to write N as the sum of two squares. Thus W(11)=0, and W(13)=8 (as sums of squares of all possible combinations of +/-3 and +/-2 , in either order).

SANDRO BOTTICELLI - Mandagames Select your level of play and then pick an Artist, or let the game choose one at random We store ONLY your highest score for each artist you play If you play with Timer and you win your score will be multiplied by 2, 3 or 4, dependig on level of play If you play with Timer and you lose your score is zero The selected Artist's name will show at the top of the screen

Some of The Best Educational Android Apps for Teachers Coming to you from the Canadian Maritimes ( Halifax), Educational Technology and Mobile Learning is an educational blog dedicated to curating, reviewing and sharing EdTech tools and mobile apps. The purpose is to help teachers and educators effectively integrate digital technologies into their day-to-day teaching, learning and professional development. For any questions regarding our website or the content we publish, please contact EdTech admin, editor and blog owner, Med Kharbach at: Med Kharbach is a doctoral researcher and a former teacher with 10 years of classroom teaching experience. Med's research interests include: language learning, linguistics, Internet linguistics, critical linguistics, discourse analysis, new (emerging) literacies, and educational technology.

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