Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Wednesday, August 18, 2010

on inspiration, maturity and work

A friend sent me this post, about a mom who let her kid just quit doing math for a few months, to look at and asked me what I think. I don't know what she thinks yet, so I don't know whether we agree or not, but it was certainly thought-provoking. Here's my immediate response, though I imagine yours will be different because what you think will probably depend on your experience of trying things that are too hard for you to do, and also on your kids' experiences when they try to do things that are beyond them.  Anyway, here's my not-very-reflective reflection on the post:

That it sounds like summer vacation. :)

My other thoughts are:
-yes, you take un-intentioned breaks sometimes (hmm, let me talk about my last year . . .)
-yes, sometimes there's growth that has to happen before mastery can be achieved, but . . .
-as Picasso said, "There is such a thing as inspiration, but it must find you working." I think that's so, so true. And I think not making the kid work is a disservice to the kid. Now, adjusting the work to fit the child's level . . . i.e., maybe switching to a different program, or playing math games instead of worksheets, or some such, till the necessary maturation occurs and the child gets it? Yeah, absolutely. But I think just letting the child stop working is a bad idea. (Unless, of course, it is summer vacation.)

Mostly because I think letting myself stop working is a bad idea. And I'd hate to be less fair to my child than I am to myself.

So, yeah, I think the back-burner idea is true. At least, I find it true in myself. But I also find it true that I: 1) get the concept faster if I'm still working in the area and 2) learn other good things in the meantime if I keep working in the area. Back-burner break-throughs seem to happen best when you ignore the exact problem area itself "(I can't seeeeeeee you" <-- is the dialogue in my head at those times) but still stick really close to the area around it. Otherwise you can waste days and days and days because you're not aware and alert and present when the readiness kicks in.

Also, we can be very, very wrong about whether or not we're able to do things. I'm always amazed at how much more I can do when I make myself work versus when I think about working. Again, I think the same is true of kids. (Minus the fact that they have a much lower tolerance of frustration. That's where we need to be careful, I think. Hitting frustration is something you don't want to do very often or very long with children. I'm finding. Hence the switching it up, but keeping close to the subject.)

There. I've blathered. What do you think?

Peace of Christ to you,

Jessica Snell

Tuesday, March 23, 2010

synesthesia and the perception of time

You probably know that there are some people who see colors when they see specific letters or numbers. Or hear certain sounds. This is a condition known as synesthesia, and I read an article about it a couple of months ago in an old issue of the Smithsonian. (I think this was the article I read, but I'm not sure, because the link is just to an abstract.)

It was a fascinating article, but it became personal when they noted, off-handedly, that some synesthetes perceived time in a concrete fashion. They had a picture for the way years looked, or weeks or days. An idiosyncratic chart of time.

That pulled me up short. I thought, Well, I have that. And I thought it was strange that they should mention it. So I asked my husband if he had a specific picture when he thought about time. And he said no. And after that, I asked around some more.

Turns out most people don't see time when they think about time. But I do. I always have. As far back as I can remember knowing about years and months and days and weeks, I can remember seeing them. From what I've read, that's part of what makes it true synesthesia: you've always seen it that way. Apparently it's really common to spend years not knowing you have synesthesia for the simple reason that it never occurs to you that other people don't see the same thing you see. Now, I never thought people saw the same chart I saw, but I assumed they saw something. It's still very weird to me that that's not true.

What do I see? Well, years hang like an ovoid loop, suspended from December 31 and January 1. Sort of a teardrop shape. Right now we're going down the loop of the year. By about September, we'll start going up. Years string together in a sort-of L-shape scroll, from as far back as history goes, extending out towards the future. Out and up. At a specific angle.  Weeks look like telephone lines, suspended by Sundays and dipping lowest around Wednesdays. I can view it from the side, or I can sit on top of it and swoop up and down the curve of it. Days themselves are a loop, very similar to the loop of the year. And I can zoom in or out along this picture, down to the minute and out to the century. It all strings together.

Apparently this isn't normal.

But, I'm curious, do any of you reading see time when you think of time? I guess it's called number-form synesthesia or spacial-sequence synesthesia. I get now that not most people see things when they think of time, but I always have, and I can't imagine how you would think about it if you couldn't see it. I see numbers along a specifically-shaped line too, come to think of it. They head straight up to 100, and then veer off sharply to the left. Negative numbers are down. I do better thinking of them if I look at them from the left instead of from the right. Like tilting your paper a bit so your handwriting slants the right way; it just makes things easier.

Again, I now get that this isn't normal. Most people don't shift their position in regard to the numbers they're studying in their head so that they can see and understand them better. But I do. Always have. (Okay, now that I think of it, I have to shift to look at them from the left, because then I can read them forwards instead of backwards, because after zero, the numbers start to go from left to right instead of up and down. Well, they go down, but they are next to each other rather than on top of each other like the positive numbers are. Huh. Never realized that's why I did that.)

If you don't see a picture when you think of time, how do you conceptualize it? Do you conceptualize it? Or is it just something that exists, without needing to exist in any tangible form?

Truly, the brain is an odd organ. But if I have to have an odd twist to my brain, I think I'm glad I have this one. It's not a hindrance to me, I don't think - though it may explain some of the trouble I had when I hit the higher maths. I couldn't ever fold my number line in a way that made calculus make sense. But there you are. I'm not sorry for it. Like I said: I can't imagine seeing time and numbers any other way.

But I'm still curious how others see it, if they see it at all.   

peace of Christ to you,

Jessica Snell

Thursday, February 11, 2010

links (yes, again): pretty bags, pretty dishcloths, pretty awesome object lessons . . . and more!

I'm linking to this just because I think it's pretty.
StandFirm has had some great stuff recently, including Part II of Matt and Anne Kennedy's Leaving Home series and this post on the crazy stuff going down in South Carolina.
Amy has created a FAQ for homeschooling children with Down Syndrome and other special needs. It looks like a great place to start if you're thinking of doing that yourself, and it looks like a great one to pass on if you have a friend who's thinking of homeschooling a special needs child.
My friend Katie has created a super-cute Valentine's-y knit washcloth, and she has the pattern for sale in her Etsy shop.
I like this post from Fumbling Towards Grace. It includes paragraphs like this:
Stewardship, he went on, requires a sharp mind. There are constant forces trying to divert our attention from God and from building his kingdom. Faulty ideas about the human person, about our purpose in life, and also things like t.v. advertisements, promising peace, fulfillment and a trim waistline for 19.99. Having a “sharp mind” as he called it, is a requirement, so that we might be good stewards of the gifts and talents that God has given us.
as well as a great object lesson that includes beer. (How could that be bad?)
Here is a link to an index of a bunch of youtube videos on various math and science concepts.
This one I offer with a caveat: I have no idea if it works or not. But I read about it in Good Housekeeping (I think): it's a website where you can buy other people's unwanted gift cards at a discount (or sell your own). So if there's a store you're planning on shopping at anyway, it might be worth it to buy a gift card here at a discount to cover the trip.
I also can't vouch for this site, but I am planning on researching it more the next time we have a vacation: it's a site where you can find vacations houses for rent by owner. When you've got a family of six, it can be cheaper to rent a condo than to stay at a hotel when you travel. Also, it can be a nice option if you're traveling with a group. So, anyways, fyi, this exists. :)
peace of Christ to you,
Jessica Snell