Queness - Design Inspirations, jQuery Tutorials and Web Design & Development Community FLI - Future of Life Institute Numberless Word Problems | Teaching to the Beat of a Different Drummer Have you ever said or thought any of the following? “They just add all the numbers! It doesn’t matter what the problem says.”“They don’t stop to think! Then you might be interested in trying out numberless word problems with your students. In essence, numberless word problems are designed to provide scaffolding that allows students the opportunity to develop a better understanding of the underlying structure of word problems. My Blog Posts I’ve written about numberless word problems at various points on my blog. Numberless Word Problems – This is the initial post I wrote about numberless word problems. Problem Banks Below are banks of problems organized around the CGI problem types. Addition and Subtraction Problem Types Multiplication and Division Problem Types Other Blog Post Collection Would you like to hear how other educators have used numberless word problems? If you write a blog post and would like me to include it here, just fill out this form. Like this: Like Loading...
Black Hole Firewalls Confound Theoretical Physicists Alice and Bob, beloved characters of various thought experiments in quantum mechanics, are at a crossroads. The adventurous, rather reckless Alice jumps into a very large black hole, leaving a presumably forlorn Bob outside the event horizon — a black hole’s point of no return, beyond which nothing, not even light, can escape. Conventionally, physicists have assumed that if the black hole is large enough, Alice won’t notice anything unusual as she crosses the horizon. In this scenario, colorfully dubbed “No Drama,” the gravitational forces won’t become extreme until she approaches a point inside the black hole called the singularity. Now a new hypothesis is giving poor Alice even more drama than she bargained for. When Alice’s fiery fate was proposed this summer, it set off heated debates among physicists, many of whom were highly skeptical. The ‘Menu From Hell’ Paradoxes in physics have a way of clarifying key issues. Physicists don’t lightly abandon time-honored postulates.
f.lux: software to make your life better Centauri Dreams — Imagining and Planning Interstellar Exploration Desmos Art: A Definitive Guide to Computational Sketching | Math Vault If you’re of the type who enjoys playing around with graphing calculator, then you might be interested in the so-called Desmos Art. These are basically pictures and animations created in Desmos primarily through the clever use of equations and inequalities — among other features such as tables, animating sliders and regression models. Indeed, if you go to this official staff pick page, you should see that a whole bunch of creative artworks were already being created — anything from cartoon characters, landscape to logos and portraits. But here’s a problem: when you reach a Desmos artwork page, you get to see the end-result with all the equations and inequalities, without necessarily having any clue about how the sketching process comes about from the beginning to the end. Why does this weird-looking equation pop out from nowhere? Table of Content I) Step 1: Initial Setup — Source Picture II) Step 2: Divide and Conquer III) Step 3: Portion Crunching a) Step 3a: Drawing Curves c) Skirt & Legs
Einstein's Philosophy of Science 1. Introduction: Was Einstein an Epistemological “Opportunist”? Late in 1944, Albert Einstein received a letter from Robert Thornton, a young African-American philosopher of science who had just finished his Ph.D. under Herbert Feigl at Minnesota and was beginning a new job teaching physics at the University of Puerto Rico, Mayaguez. He had written to solicit from Einstein a few supportive words on behalf of his efforts to introduce “as much of the philosophy of science as possible” into the modern physics course that he was to teach the following spring (Thornton to Einstein, 28 November 1944, EA 61–573). Here is what Einstein offered in reply: I fully agree with you about the significance and educational value of methodology as well as history and philosophy of science. That Einstein meant what he said about the relevance of philosophy to physics is evidenced by the fact that he had been saying more or less the same thing for decades. 2. 3. 4. 5. In brief, the argument is this. 6.
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