More Unschooling Magic

Aharon continues to drag the reader into my room every night at 10:24 or so, with just enough time before 10:30 to read.  Last night he read two pages.  His reading is not as fluent as a 2nd grader in "regular" school, but he's much faster than his older brothers.  The other day, while I was davening out loud, he came to look over my shoulder.  I slowed down and let him read the very last syllable, which he did.  He seems interested in getting his reading level to the point of being able to daven.

(Jack has stopped asking for Chumash, and Elazar and I are doing trup very spottily.)

Jack comes up for snuggle most nights in the early 10s, to get a snuggle before my 10:30 cutoff time.  Last night, I was hanging out in bed, talking to Chen, when he came in.  He asked what division was.

I explained it like I had explained it to Elazar about cookies and the amount of people who want cookies and to make it fair.  So we started with 15 and I said there are 3 people.  I gave him one of my hands so he'd have 15 fingers and could visualize it.

He spent a long time thinking.  A really long time thinking.  One might even say a ridiculously long time thinking. 

And he wasn't using my hand, and dividing into the obvious 3 equal parts.

What was he doing?

Eventually, he said "5."  That was right, and he was thrilled, and he asked for another.

Chen was extremely curious about how he had done it.  So we asked Jack to do the next one out loud, if he could.  To talk as he was doing it and to say what he was thinking. 

He was guessing what it might be, then counting by that number, to see if he ended up with the right answer.  So 24 divided by 6.  He guessed 4.  Then he counted.  4, 8, 12, 16, 20, 24.  That was 6 jumps of 4, ending with the right number.  Had he started with 3 it would have been: 3, 6, 9, 12, 15, 18.  Wrong.  We did a few more problems until Aharon came in to read.

A few things really struck me about this. 

• He LOVED it.  He got so much enjoyment from thinking about this and figuring it out.  It was something he was wondering, he came to me and asked me about it, and was rewarded with the pure joy of figuring it out, discovering it, thinking about it. 
  
• He took a really long time to think about it at every step.  He thought about what it means to divide.  He thought about how it might work.  He wrestled with how it works, and tried different things, and figured out a method of calculating it.
  In school, you don't have time to do that.  Firstly, you don't have time to wonder.  You are told what you are learning and that's that.  Secondly, you are told how to do it.  You aren't given the space and time to sit and really think things through.  You simply don't have the time to sit around thinking about how division might work.  You don't have time to play with it.
  
• Division is going to be really meaningful to him.  He will understand it on a deep, gut level.  It will be part of him.

Oh, and last night Aharon forgot the ך and I told him to practice the sofises, since he stumbles over them.  I know he works on them in his mind at random times during the day, because last week he came to me, eyes shining, and told me that he mastered nun sofis (ן).

I had stuck an aleph beis printout onto the fridge haphazardly a couple of years ago, because I felt that having it in sight might incline them to look at it, and definitely showed the kids that Hebrew reading is a value of ours.  Although the kids use the multiplication chart I have on the fridge frequently, I don't see the aleph beis chart getting a lot of use.

But apparently Aharon has been using it.  This morning he came over to me, and with his eyes glued to the chart, told me that he's working on the ך and the ף.