Research Supporting NCTM-Standards-Based Mathematics Education Reform » Mathematically Sane. Research Supporting NCTM-Standards-Based Mathematics Education Reform By admin - Last updated: Sunday, October 24, 2004 - Save & Share - Leave a Comment Prepared by Eric Hart There is a rigorous and extensive research base for NCTM-Standards-based reform in mathematics education. A brief sample of that research base, related to several major themes of reform, is included here. 1. “There is a long history of research, going back to the 1940s and the work of William Brownell, on the effects of teaching for meaning and understanding in mathematics.
“Instructional programs that emphasize conceptual development, with the goal of understanding, can facilitate significant mathematics learning without sacrificing skill proficiency.” “Students who memorize facts or procedures without understanding often are not sure when and how to use what they know, and such learning is often quite fragile.” “Students who develop conceptual understanding early perform best on procedural knowledge later.” 2. 3. Finding Unity in the Math Wars. I usually avoid current events, but recent skirmishes in the math world prompted me to chime in. To recap, there’ve been heated discussions about math education and the role of online resources like Khan Academy. As fun as a good math showdown may appear, there’s a bigger threat: Apathy. And Justin Bieber. Educators, online or not, don’t compete with each other. Entertainment is great; I love Starcraft. What do we need? I could be walking into a knife fight with an ice cream cone, but I’d like to approach each side with empathy and offer specific suggestions to bridge the gap.
The Big Misunderstanding Superheroes need a misunderstanding before working together. Bad Teacher < Online Learning < Good teacher The problem is in considering each part separately. Is Khan Academy (free, friendly, always available) better than a mean, uninformed, or absent teacher? But, really, the ultimate solution is Online learning + Good Teachers. Why Do I Care? I love learning. I was a good student. Finals came. ExploreLearning.com - StumbleUpon. Undergraduate contest problems and solutions. SCIENCE U. PatrickJMT. Mathematics. Vi Hart: Math Doodling. Remember that video about doodling dragons and fractals and stuff? I finally finished part 2! Here is a magnet link so you can dowload it via torrent. Here it is on YouTube: You can tell I worked on it for a long time over many interruptions (travelling and other stuff), because in order to keep myself from hating what was supposed to be a quick easy part 2, I had to amuse myself with snakes.
Part of working on part 2 was working on part 3 and other related material, so the next one should go faster. Also I have no conferences scheduled for the rest of the year and I’m keeping it that way! Here was part 1, via Torrent or YouTube. Welcome page. A Maths Dictionary for Kids 2011 by Jenny Eather. Maths Websites. Word Problems For Kids. November 2011 Front Page. National STEM Centre Search. Oswego City School District Regents Exam Prep Center. Khan Academy. Maths Online - Free Maths Tuition For All Australian High School Students.
Contents, Interactive Mathematics Miscellany and Puzzles. Since May 6, 1997You are visitor number E66B7E in base 20 Raymond Smullyan, a Mathematician, Philosopher and author of several outstanding books of logical puzzles, tells, in one of his books, a revealing story. A friend invited him for dinner. He told Smullyan that his teenage son was crazy about Smullyan's books and could not wait to meet him. The friend warned Smullyan not to mention that he is a Mathematician and that Logic is a part of Mathematics because the young fellow hated Mathematics. Having told this story, would it be wise to announce up front what this site is about? Perhaps against a better judgement, I've put together a manifesto that aims to explain the purpose of this site.
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NumberSpiral. THE SECRET LIVES OF NUMBERS.