"I feel it in my fingers..."

Karen James, on math:

I took the leap and we began homeschooling, with me trusting that like walking, talking, reading, writing, and all the other things he had managed to learn through his play and exploration and with our active support, he would come to have a meaningful understanding of math too. When I came to a greater understanding of unschooling, I suspected we had not made a error in judgement. As I have watched Ethan's relationship with math grow and deepen, I knew we had not.

What I didn't realize when I was worrying about how to bring math to Ethan, was that Ethan had already found math. He found it on his fingers. He found it in the seeds of an apple I had cut open. He found it in the peas spread over the tray on his high chair. He found it in every repeated drop of his cup or spoon. He found it in the music we listened to. He found it in the timing between jumps on his jolly jumper. He found it in the balance he needed to take the next step. He found it in the distance between steps. It was everywhere already, and he was already finding the art in it. I just needed to stop my worrying and start having fun.

So I have.

—Karen James

SandraDodd.com/math/found
photo by Belinda Dutch

The title isn't from the quote, it's from a 1967 Troggs song.


In 2023, Ethan James is newly grown up and working at a video game company, at least for a while.

Math without numbers

In thinking of mathematics, I operated on the assumption that our children might be more pattern-oriented than I am (spatial and logical intelligences) and that they might be more word-dependent than my husband. We provided games involving patterns–board games, video games, dice, cards, and singing games–and played them with the children. One of the most memorable games was Bazaar, a game with exchange rates and values but requiring no numbers or reading. (In Germany there is a similar game called Bierbörse.) Math was a fun part of the fabric of life. It was the structure of games and of music and of Lego and Ramagon. We talked about proportion and perspective in art and construction, but only in words, not with numbers. They found patterns; I found patterns, and we shared them without me saying "this is mathematics."

Games     /     Geography without maps
screenshot by Holly Dodd, of the game FlipPix

Courtesy, and teens

I posted this story in 2006 when it was six years old.
Now it is eleven years old. Our family looked like this, when the story was new:



A story slightly involving allowance, but a snapshot of how kids who aren't desperate for money can act:

Two of Marty's friends were going to pick him up to go run around, but they ended up staying here. Then another friend came over to see all my kids. Then a friend of Kirby's from work came over. I hadn't met her before. She was nice. So my three (14, 17, 19) plus four more (17-21) were all having a great time laughing and looking at stuff on Kirby's computer and around our house, and Marty's big Lego Viking village, and so forth.

They decided to go out for ice cream and then to see "Over the Hedge." I asked Holly if she needed money, and she didn't. (She saves her allowance up.) Every other person there has a job. Outside of Kirby possibly having an interest in the girl from work, there were no couples. Two of those kids do have steady others, but didn't bring them over. So it was four teenaged girls, four teenaged boys, no romantic tension (unless Kirby and new-girl; didn't see any).

And here's the big success part. They asked Keith if he wanted to go. I didn't know they had, when Marty came and asked me if I wanted to go. So they would have taken me, or Keith, or both of us, with them.

We separately thanked them and declined and found out later they had asked us both. Pretty sweet!

We didn't "teach them" to invite their parents to the movies. One advantage of our not going was that then they could fit into the big van and didn't have to take two cars.

The van they went in:



SandraDodd.com/math/allowance
Sweetness in Teens
The photos are links.

Sweetness in teens

Once upon a time, in 2006...

A story slightly involving allowance, but a snapshot of how kids who aren't desperate for money can act:

Two of Marty's friends were going to pick him up to go run around, but they ended up staying here. Then another friend came over to see all my kids. Then a friend of Kirby's from work came over. I hadn't met her before. She was nice. So my three (14, 17, 19) plus four more (17-21) were all having a great time laughing and looking at stuff on Kirby's computer and around our house, and Marty's big Lego Viking village, and so forth.

They decided to go out for ice cream and then to see "Over the Hedge." I asked Holly if she needed money, and she didn't. (She saves her allowance up.) Every other person there has a job. Outside of Kirby possibly having an interest in the girl from work, there were no couples. Two of those kids do have steady others, but didn't bring them over. So it was four teenaged girls, four teenaged boys, no romantic tension (unless Kirby and new-girl; didn't see any).

And here's the big success part. They asked Keith if he wanted to go. I didn't know they had, when Marty came and asked me if I wanted to go. So they would have taken me, or Keith, or both of us, with them.

We separately thanked them and declined and found out later they had asked us both. Pretty sweet!

We didn't "teach them" to invite their parents to the movies. One advantage of our not going was that then they could fit into the big van and didn't have to take two cars.

SandraDodd.com/math/allowance
photo by Sandra Dodd,
whose kids are not teens anymore, but are still sweet,
of a movie theater in Austin, unrelated except for the movie part
__