Beautiful Mathematical GIFs Will Mesmerize You Digital artist and physics PhD student Dave Whyte is dazzling our computer screens with his mesmerizing GIFs that are the perfect marriage of mathematics and art. And we can’t stop watching them. Whyte shares his brilliant, procrastination-fueling creations on an almost daily basis on his Tumblr account, Bees & Bombs. Whyte studies the physics of foam and told Colossal that his first geometric GIFs riffed on computational modules that he was exploring as an undergraduate student. To create his eye catching animations, Whyte uses a programming language called Processing. Check some of them out here (caution: may induce serious time wasting): [Via Colossal, io9 and Bees & Bombs]
21 GIFs That Explain Mathematical Concepts “Let's face it; by and large math is not easy, but that's what makes it so rewarding when you conquer a problem, and reach new heights of understanding.” Danica McKellar As we usher in the start of a new school year, it’s time to hit the ground running in your classes! Math can be pretty tough, but since it is the language in which scientists interpret the Universe, there’s really no getting around learning it. Check out these gifs that will help you visualize some tricky aspects of math, so you can dominate your exams this year. Ellipse: Via: giphy Solving Pascal triangles: Via: Hersfold via Wikimedia Commons Use FOIL to easily multiply binomials: Via: mathcaptain Here’s how you solve logarithms: Via: imgur Use this trick so you don’t get mixed up when doing matrix transpositions: Via: Wikimedia Commons What the Pythagorean Theorem is really trying to show you: Via: giphy Exterior angles of polygons will ALWAYS add up to 360 degrees: Via: math.stackexchange Via: imgur Via: Wikimedia Commons Via: reddit
Bar modelling- a powerful visual approach for introducing number topics Building on my recent post about a taxonomy for deep learning in maths, I have been trying to think a bit deeper myself about what each type of ‘deep learning link’ might look like. In particular, I have been researching and putting a lot of thought into what effective ‘visual models’ look like for the ‘key nodes’ I have previously identified as the most important foundation maths knowledge for students to master before starting their GCSE maths course. These are principally number topics. Last year I became aware of the Singapore Maths Bar Modelling approached have recently found the time to research it further. Maths No Problem In short, I really like the approach and am convinced it could enhance my own practice significantly by giving students powerful, but simple visual models they can draw upon and use to solve problems. In primary education in Singapore, maths teachers follow a Concrete-Pictorial-Abstract (CPA) sequence when teaching maths topics. Next up, equivalent fractions:
Quantum mechanics 101: Demystifying tough physics in 4 easy lessons Ready to level up your working knowledge of quantum mechanics? Check out these four TED-Ed Lessons written by Chad Orzel, Associate Professor in the Department of Physics and Astronomy at Union College and author of How to Teach Quantum Physics to Your Dog. 1. One of the most amazing facts in physics is that everything in the universe, from light to electrons to atoms, behaves like both a particle and a wave at the same time. 2. Austrian physicist Erwin Schrödinger, one of the founders of quantum mechanics, posed this famous question: If you put a cat in a sealed box with a device that has a 50% chance of killing the cat in the next hour, what will be the state of the cat when that time is up? 3. When you think about Einstein and physics, E=mc^2 is probably the first thing that comes to mind. 4. The Heisenberg Uncertainty Principle states that you can never simultaneously know the exact position and the exact speed of an object.
Singapore maths books A Host of Cool Science Gifs These Gifs are astoundingly elegant. 10) Here’s how you convert Cartesian (rectangular) to Polar Coordinates 9) This is how Exterior Angles of Polygons work (they add up to 360 degrees) 8) This is a Hyperboloid made up of straight lines 7) This is also a Hyperboloid of straight lines 6) This is how White Blood Cells keep you safe (in the video, a white blood cell chases and engulfs this bacteria–watch until the end!) 5) This is Earth’s ice and vegetation cycle over a year 4) There is Flammable Matter in Smoke (it’s not just nothingness, obviously) 3) This is what it looks like when you set a Flammable Gas on fire in a glass jar 2) This is vortex pinning (A superconductor levitates over a magnetic track) 1) This is how Tension works in relation to falling objects (watch a slinky fall to the Earth; this is how slinkies always fall) Over the course of a single year, we compile thousands of articles, and generate dozens upon dozens of high-quality videos and infographics. Stop by and say hello.
Description and Lesson plan for the Base 10 Blocks Program It is believed that the Base 10 Blocks were developed by the Hungarian Mathematician Dr. Zoltan Paul Dienes. If you want to know more about himself, you can visit his web site. This page is specifically for teachers and describes a complete lesson plan on how to teach base 10 place value as well as basic arithmetic operations using this online version of the base 10 blocks manipulatives. The topics covered in this lesson include: Description of the Base 10 Blocks Program Check the detailed base 10 blocks program instructions to learn about rotate, break, glue, and place value mats! The blocks available in the program are the standard base 10 blocks used in many classrooms today and they are: This program is very simple to use. Two advantages that this program has over real physical blocks are, first, the ability to break the 10- and 100-blocks into the next smaller size and glue them back together. Uses of the Base 10 Blocks Program Finally, the students can also practice at home. Addition
Google's AI Can Dream, and Here's What it Looks Like Software engineers at Google have been analyzing the 'dreams' of their computers. And it turns out that androids do dream of electric sheep... and also pig-snails, camel-birds and dog-fish. This conclusion has been made after testing the ability of Google's servers to recognize and create images of commonplace objects – for example, bananas and measuring cups. Google's artificial neural network creates its own images from keywords. So, what's the point in creating these bizarre images? The Google artificial neural network is like a computer brain, inspired by the central nervous system of animals. The Google team then realized that they could reverse the process. Sometimes, the resulting images are not quite what you'd expect... Google's artificial neural network's interpretation of a dumbbell. You may have noticed that no computer-generated dumbbell is complete without a muscular weightlifting arm. Highly detailed elements seem to pop up out of nowhere. [Via Google]
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