"I told him already."

Not lately, but once upon a time...

...When the triangles come up on Math Arena, I have to think "isosceles" and then look for one (or "right" or "equilateral" or "obtuse" or whatever). Holly doesn't have to.

So my strewing plan was this: The next morning I would wake up early, make tea, and get out the geoboards. We have three. I would set up three basic triangles. When Holly got up and noticed these out, I would point at the hypotenuse on the right triangle. Either she would say "huh!" and "Would you make Malt-o-Meal?" and it would be over, or she might ask "And what are these other two?" Maybe it would be a couple of days of playing with triangles and maybe it will be one little "huh!"

That was my whole plan. I was going to be fine with however minor or glorious it was, because I knew she would have something to tie it to in her head, another dot to connect, and all that internal triangulation would be more valuable than any vocabulary study and formulaic recitation we could do.

But what happened was that I forgot to check back on my geo-board kid-trap. When I remembered in the early afternoon, Marty and Holly were working on fancy designs with colored rubber bands, and making "how many triangles?" puzzles for each other to count triangles within triangles. I came over and said, "That is a hypotenuse," and I pointed right at a green rubber hypotenuse. Holly said, "I know, I told him already." Not only had I missed my big chance to review it with her, she (at twelve) had already explained it to her brother (the fifteen year old).

SandraDodd.com/dot/hypotenuse
photo by Julie Daniel, of Adam, also not recent
(I couldn't find a geoboard photo)

Working at playing

Usually it looks like we're just playing around. When it doesn't look like we're playing, I work on it. Unschooling works best when we're playing around.

Jubilation and Triangulation,
about "The Pirates of Penzance," sci-fi space shows, video games about triangles, and the word "hypotenuse" coming up over and over.

photo by Holly Dodd

Three

It can be fun to play with the idea of three. I had a literature professor say "Three trees make a row." He meant that finding three instances of something in a piece of writing is worth pursuing.

I thought of real trees, though, and more often three trees make a triangle.

That idea has amused me for a long time, of rows and triangles. Finding, seeing, hearing three things that are similar can make fun connections worth pursuing.

There are threes in literature, lyrics, art, games, rhythms, and on clocks. Whether you have young children to amuse with this or not, maybe look around for and play around with threes.

Patterns
photo by Cathy Koetsier

Triangles and rows

I had a Shakespeare professor who said "Three trees make a row," to confirm a pattern when a student noticed that something had appeared three times. I remember thinking, but not saying, "Not if they're making a triangle." But it wasn't a math class, and I understood his point.

There's something strong and fun about three. Two parents and a baby. A tripod for a camera or a telescope. A three-legged stool (a tripod to sit on). Three versions of a song. A book or movie trilogy. Counting by threes with its elegant stops at 33, 66, and 99.

European folklore has many sets of three, in bears, goats, wishes...

Here are other posts with photos of three things. It's a fun collection. Three (image label)
Three
photo by Lydia Koltai
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