Just for grins I would like to share with you one of the Montessori math materials that are used to concretely teach the abstract concept of multiplication:

This is called the Multiplication Checkerboard. It is used to do short and long multiplication. The first green square on the right is the ones place, the blue square to the left is the tens, the red is the hundreds. The next green is the thousands place, then ten thousands, then hundred thousands. These colors represent the place value system throughout Montessori math. The numbers are placed on the right edge and bottom edge of the board. Numbers are multiplied and bead bars are placed in the appropriate squares. The only rule is that at the end, only one bead bar can be in each square. There is a lot of combining and exchanging, and sometimes sliding. When a student begins to move toward abstraction, the process is recorded in the form we normally see it written out in. This is a little tricky to learn in the first exposure especially if you have already been taught the abstract way. It is quite fun to do though!
3 comments:
Sound like things are going very well! I'm glad to hear you are enjoying things! As well as you explained the math board, I'll admit it confuses me. Math has never been my strongest subject anyway....I think I'd have to see it first hand to understand how it works. Either that..or we could just play checkers instead. LOL
-jeff
I had to work this material several times before I got it. I had a little pressure though because I knew I had to teach it to students!
I'm glad you now get to plan lessons for the kids and it's great that you enjoy it. It's what you went to college for & you're just beginning to see the fruit of that. I hear the voice of freedom & creativity speaking when you talk of planning lessons. It makes me smile.
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