Tangrams - Geometric Brain Sharpener

I just love Tangrams. I'm not that great at doing them but I love to watch my mind think as I work out a solution. The shape of "the sitting man" for instance seems easy because you know right off where two of the pieces go just by looking at the shape. So there are only 5 other pieces to place. But as you do it you discover that getting those large triangles in place can be tricky, and if you listen to your mind thinking about the options you'll find it's fascinating to see your strategies of looking at the areas of pieces, and lengths of sides, and ways that pieces could fit together to fill a certain space. And for kids - if we can get them to be aware of their thinking I believe there will be a great deal of transfer to all kinds of problems related to area, distance, angles, triangles and more. Play with it and see what you think. Try Interactive Tangrams

Fun Math Stuff Meets Standards

It's not that standards necessarily kill the fun stuff in math, it's just that when the learning is broken down into so many little objectives that have to be descreetly assessed, it feels like there's just no time to step back and play around with general concepts. However CTAP region 4 has spent a few years finding the great online interactive resources (the fun stuff) and aligning them to the California standards and the CA adopted math textbooks. This makes them much easier to integrate, which provides students with real opportunities to experiment with concepts in a ways that can't be done with paper and pencil. The project is called the Middle School Math Project and there's a matrix for 6th grade, 7th grade, and Algebra 1 with all the standards, resource links, and pages of the textbooks to which they align. Look for the little hearts to see CTAP's favorites, and look for the little earth icons to see ones that are online interactive tools - like this collection of Geometry applets in the National Library of Virtual Manipulatives.

Inspiration for Math Education

In light of NCLB and the standards movement, teachers are so pressed to raise test scores that it's easy to forget some of the intriguing, fun, math things we used to have time for in the "good old days". So this blog will help remind us of some of the conversations, resources, and really "cool things" that inspire math learning.

Like for instance. I just came across a very elegant simple puzzle, called Ball of Whacks - a 30-sided polyhedra made up of 30 identical magnetic pieces that just pop into place. You've got to feel it to believe it.
Check it out. Here's a little movie of it - Ball of Whacks