Friday, August 19, 2016

Working Inside -- Rain Outside

It is pretty wet outside right now. But we've been inside keeping dry and getting into the new school year.
Little D is getting into some big math. This is our large bead frame and we are learning categories. Here he is just counting beads in each category. 
Here D wrote down the numeric value for each category, almost up to a million. He really likes adding the commas. And he thinks the pattern of zeros is pretty cool. We are still working a bit on math fact memorization, but he seems eager to press ahead.

It is hard to believe that just a small while ago he looked like this, and was doing this!
After reviewing dynamic golden bead operations and how to form quantities on the LBF, S has finally set sail with this material. FINALLY. It is going very smoothly and she says "she likes math." I've been giving her very, very, very small bits at a time. We are taking our time to review, do more review, and just dwell in what is easy. She seems to like this approach so far. I wonder what will happen when things get a little tougher.

At this pace, I feel like we are inching (millimeter-ing if that were a word) along at a snails pace. BUT, we aren't going backward and having to review many times. And we aren't having fits, tears, stomping, and tantrums. I am hoping (fingers AND toes crossed) that she will be able to develop a bit of confidence and this will make future mini-challenges more manageable. HOPING.
This year T will be tying up lose ends at the end of most of the KotU elementary math album topics. And then he'll be done!! Anyone have any thoughts about Montessori algebra and beyond?This is a numeration lesson (usually presented in year 1 or 2) about divisibility rules. T was figuring out if 3,958 (or something like that) was divisible by 2.

The child will be able to do some abstract work by the time he/she gets to this lesson. They will probably already know their math facts. 

I asked T is a thousand cube could be divided into two equal pieces. He said, yes. Each pile would get 500. I asked T if a hundred square could be divided into two equal pieces. He said yes. We established that every thousand could always be divided in exactly half, and the same would always apply to hundred squares. T said that the ten bar would always be able to be divided in equal halves as well, but not the unit. 

I asked him if one unit could be divided into two equal (whole -unit) parts. At first I didn't say whole-unit and he said, yes, half of one unit would be (5) tenths. Then I corrected myself. He said one unit could not be divided into two whole unit only piles. But two units could be made into two one unit equal piles. He also said 4, 6, and 8 and 0 could also be made into two equal whole unit piles. Then he said, only even numbers are divisible, or divide-able, by two.
Then we worked on the definition and combined the fact that any category larger than a unit is divisible by two, and that it is the unit category that decides whether the entire number quantity is divisible by two. Above was his definition. 

We have a bunch more divisibility rules to find, but seeing how this one took T about 5 minutes, I am thinking we'll tie up this loose end pretty quickly.
 T was happy about the math.
T is also going back to a few of the other lessons he's mastered for some additional review. Though I'd personally love to have him move on, his independent review work is something I know he wants and needs right now and it makes it easier for me to spend time with the other two who need some attention.
Somebody who's name begins with D and who is 5 years old is a reader. He read all ten readers in this set in one sitting, or laying down session. These are this phonics booklet set. 

We are still using the Ordinary Parent's Guide to Teaching Reading, by Jessie Wise, to make sure our bases are covered, but D has really taken off all on his own. We are reading Mercy Watson To the Rescue, by Kate DiCamillo, his first chapter book, together (he reads a page, I read a page.) It is fun to see him reading. He says he likes being able to "crack-the-code."

We've been inside a lot lately; first because of the heat, and now because of the rain. Our area got a fair amount of rain over the past week and there is more coming. Luckily, we still have our trusty rain gear!

These are actually MY boots. T can wear them now.
This is S's rain gauge. It read almost 5". This was Monday. It is now up to about the same 5" inch mark again!! At least the temps came down a bit!

3 comments:

  1. You probably already know this, but there is a Montessori Algebra album available. Jessica has it, has used it, and took a course on it. It's what I plan to use when the time comes.

    Here's a link: http://montessoritrails.blogspot.com/2014/02/adolescent-algebra-and-more.html

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    Replies
    1. Yes, that's right... I'll need to see if I can get a "preview" of that and see what it contains. I'd hope that it would cover what is needed for typical later subjects like trig, calculus, and stats.

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  2. toc and sample pages here
    http://www.montessori-namta.org/Events/Math
    and jessica has already made materials needed and which elementary materials to keep for this lists

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