2006-05-24T22:12:02ZFluxBBhttp://www.mathisfunforum.com/viewtopic.php?id=3601Well, it all depends on what your definition of "remembering answers" is. Like if I can recognize certain shapes like a 4x4 matrix as 16, at what point is this memorization, or just ingrown knowledge. For example, if you see three points in an "L" shape, you know it is 3 dots, but do you call this remembering the answer. I don't really, because I have known it since I was a small child, so it just seems second nature. So if I become very familiar with certain shapes of dots such as the bowling pins setup as 10 pins, then I can add 6 and 4 in my head by combining the six triangle of 1-2-3 rows with the back row of 4. So I guess what I am trying to do is make adding a visual process in my mind instead of just memorizing the answers. For example, we know that 8 + 6 is 14, but you can see in your head a 2x4 grid and a 2x3 grid below it and touching it. Then you can notice it is almost a 4x4 grid except and 2x1 grid is missing, so 16-2 is 14 and then that reinforces our knowledge that it is 14. The possibilities are endless, especially if you get to point like Rainman where you probably have memorized many setups of objects at strange angles. Its all just a bunch of silliness, but I like going back to basics sometimes to see if I might find out something I missed in first grade...]]>http://www.mathisfunforum.com/profile.php?id=11082006-05-24T22:12:02Zhttp://www.mathisfunforum.com/viewtopic.php?pid=35384#p35384John E. Franklin wrote:
I like these and others because then you can add in your head without remembering any answers!
OK ... that needs more explaining ... Expound!
]]>http://www.mathisfunforum.com/profile.php?id=22006-05-24T21:54:23Zhttp://www.mathisfunforum.com/viewtopic.php?pid=35379#p35379Here are some interesting shapes I came up with. I would have drawn them with X's in a "code" box except that the spaces are not the same width as characters I don't think. Tiny! Can you see it?]]>http://www.mathisfunforum.com/profile.php?id=11082006-05-24T20:38:08Zhttp://www.mathisfunforum.com/viewtopic.php?pid=35369#p35369Here's some dot patterns that can be visualized with your eyes closed. Enjoy some dot patterns for adding numbers one to nine. I like these and others because then you can add in your head without remembering any answers! Click on the picture below to make it larger.]]>http://www.mathisfunforum.com/profile.php?id=11082006-05-17T20:59:45Zhttp://www.mathisfunforum.com/viewtopic.php?pid=35000#p35000