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! Bowling Balls Teach Principles of Physics With Pendulum Wave Have some wood and 16 spare bowling balls on hand? Why not make a huge pendulum wave? Due to conservation of energy, a weight on a pendulum that is released will swing out and hit a point of equilibrium at about the same amplitude, and kinetic energy will cause the motion to continue on until it is eventually slowed by air resistance and friction from the pivot point. However, period of the pendulum can be shortened by adjusting the length of the rod holding up the weight. That is, the shorter the line, the faster it goes back and forth. When put into series, pendulums with different periods that are released all at once appear to be functioning in a wave, at least for a time.
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! 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. I bought some Singapore textbooks and read about the work of Dr Yeap Ban Har. This video, featuring Dr Ban Har shows an exemplification of the approach for a typical functional maths problem:
MathFiction Homepage a list compiled by Alex Kasman (College of Charleston) The Mathematical Fiction Homepage is my attempt to collect information about all significant references to mathematics in fiction. You can see the entire list (sorted by author, title or publication date). You can browse through the database to find your favorite genre, topic, motif or medium. If you've got more specific criteria in mind, try our search page. If you've been here before and just want to see what's been added recently, look at our listing of new/recently modified entries. 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.
Researchers Make "Invisibility Cloak" From Ordinary Lenses Humans use lenses to bend light and improve visual acuity across large distances with telescopes, to see tiny objects with microscopes, or just to fix our normal vision through eyeglasses. However, a pair of researchers have found a way to arrange four lenses to act as a functional cloaking device that can be seen from several angles. The project was conducted by Joseph Choi and John Howell at the University of Rochester, and the paper was submitted to the journal Optics Express, with a copy available on ArXiv. Math in Daily Life When you buy a car, follow a recipe, or decorate your home, you're using math principles. People have been using these same principles for thousands of years, across countries and continents. Whether you're sailing a boat off the coast of Japan or building a house in Peru, you're using math to get things done. How can math be so universal?
Researchers Make Self-Moving Alcohol Droplets If you've ever wished that alcohol would just find its way to you, the following research will make you very happy. The implications could run a lot deeper than a very handy way to get drunk. Self-movement is usually thought of as a feature of living things or maybe robots. Dr. Martin Hanczyc however, while at the University of Southern Denmark, has made alcohol droplets not just move, but navigate their way through a maze. "The system itself is very simple but it displays sophisticated behavior," says Hanczyc, now at the University of Trento.
New Record-Breaking Laser Could Dramatically Speed Up The Internet Using microscopic semiconductor wires positioned atop a silver surface, a team of physicists from Imperial College London and the Friedrich-Schiller-Universität Jena has produced an ultra-fast laser that dramatically accelerates the interaction between light and matter. This world record-breaking laser is exciting because one day, it could help improve data communication by boosting the speed that information can be transferred, among a variety of other potential applications. The work has been published in Nature Physics. The secret to this new super laser lies in the physicists’ use of silver surfaces, rather than the more traditional glass. Slim layers of metal are ideal because they provide surface plasmons, which are oscillations of excited electrons that propagate along the surface of the material.