The cartographer at work

He no longer uses the wall map for reference–he’s stored all the images in his head. This child obviously does not share my difficulties with visual memory! I love the label he gave to his drawing/map: World History.

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Eclipse viewing!

We were fortunate to be in the path of yesterday’s solar eclipse–too far north to get the full “ring of fire” effect, but at its fullest point the sun was about 94% blocked out by the shadow of the moon. Definitely an experience not to miss!

We did some research on safe eclipse methods and tried a couple of them. First we made two pinhole boxes–one short and one long. The long box was recommended as the projected image of the sun would be bigger the further its distance from the pinhole–but we found that at least for our box the longer distance also made the image so dim it was hard to see. Maybe a slightly larger hole would have worked better? The shorter box worked very well, and Jumping Spider found a way to prop it up with a stick so it kept pointing in the direction of the sun.We found however that our best viewing tool was a pair of binoculars–not of course to look through, but to project and image of the sun. Here’s how it works: cover one binocular lens with aluminum foil (unless you want to see double images), prop or hold a white viewing surface facing the sun (we used a small whiteboard) and hold the binoculars with the eyepiece (viewing end) facing the board and the other end pointed towards the sun. Lining the binoculars up with their own shadow helps you find the right angle. At this point, you should see a projected image of the sun on your viewing surface. You can move the binoculars farther away to get a larger image and closer to the viewing surface to get a smaller, brighter image, and use the regular focus mechanism to get it in focus. Worked beautifully for us. Here’s a picture of the setup as the eclipse was about to begin (that’s the image of the sun you see projected onto the shadow of my hand):

Here are more pictures as the eclipse progressed (we had partial cloud cover so portions were not visible to us):

Oh no! Someone’s taken a bite out of the sun!

The bite’s getting bigger…

The sun is disappearing–what will happen to us???

After this point the cloud’s obscured the sun too much–but it came out again just past the fullest point of the eclipse:

The kids noted that as the sun was obscured it got darker and colder (even before the clouds got in the way).

We really had a great time with everybody out in the backyard (including a neighbor friend). I have to say though, no eclipse could be as cute as this:

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Map of Asia

Jumping Spider drew and colored a map of Asia:

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Morning Math: Chaos or Learning Laboratory?

Math time this morning involved lots of hilarity and cheerful energy. How much learning was taking place I’m not quite sure…in the photo above, you can see Honeybee trying to write out her answers using the pencil in her mouth. And in the photo below is Jumping Spider looking mighty pleased with his work…he was entirely ignoring the problems on the page and making up his own to solve instead, mostly involving as many zeros as he could fit in (i.e. 1,000,000 + 1,000,000 = 2,000,000). At least they were enjoying themselves!

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Mapmaking and Geography

Jumping Spider has become fascinated with maps and geography. I found him today sitting in front of the big world map in our dining area and drawing this rather detailed representation of it on the magnadoodle. I think he knows more about world geography at this point than I do!

Honeybee was lying on the floor near him reading the World Book encyclopedia entry on Mexico. It’s always fun to see what my kids are learning when I’m not teaching!

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Living Math

Julie Brennan over at Living Math makes a powerful argument for integrating a wide spectrum of mathematical concepts into children’s lives through books and literature. In a family of readers, this is easy to do–check your library for a variety of books with mathematical themes. While I don’t think reading about math should take the place of actually practicing math, it sure can go a long way towards helping children see mathematical ideas as relevant and exciting.

By the way, the book Honeybee is reading is called Mathematicians are People, Too. It’s full of stories of real mathematicians and the discoveries they made.

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Pattern Blocks

The line between “math manipulative” and “toy” in our house is very blurry–actually, I don’t think it’s there at all. We have a variety of math manipulatives, and all of them get played with as toys. And of course, toys can make great tools for learning math! Jumping Spider built this elaborate pattern block creation yesterday afternoon. And Honeybee pointed out to me the four different types of rhombuses: orange squares, blue diamonds, and tan diamonds.

If you want to do more math-oriented activities with the pattern blocks, I have used the book Pattern Block Activities to introduce different concepts.

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