tag:blogger.com,1999:blog-35650510.post6854408334612928878..comments2024-02-24T19:30:31.240-05:00Comments on Aut-2B-Home in Carolina: Original Thinking about Number TheoryUnknownnoreply@blogger.comBlogger6125tag:blogger.com,1999:blog-35650510.post-23957725442101848542009-09-06T21:31:09.924-04:002009-09-06T21:31:09.924-04:00Nature of Reading, I think that is the problem. We...Nature of Reading, I think that is the problem. We explain too much. What the games did for Pamela was to let her explore the idea of negative. She began seeing patterns and making her own connections so that, when I finally introduce the term negative, she will have a known to which she can link this unknown . . .walkinghttps://www.blogger.com/profile/05046468024103932112noreply@blogger.comtag:blogger.com,1999:blog-35650510.post-76699360606616643222009-09-06T14:38:55.945-04:002009-09-06T14:38:55.945-04:00Wow, Tammy. I wish I had your brain. This is som...Wow, Tammy. I wish I had your brain. This is something I have struggled to explain!Donnahttps://www.blogger.com/profile/14326216063370844558noreply@blogger.comtag:blogger.com,1999:blog-35650510.post-80916086785546225632009-09-06T13:25:45.135-04:002009-09-06T13:25:45.135-04:00Don, we only use one dice, so it would trend upwar...Don, we only use one dice, so it would trend upwards, giving us the hope that spring will come and providing for an endpoint to the game.<br /><br />Thanks for teaching me something new!!! I'm going to look ahead to Augustus Caesar's World and see if they address it. <br /><br />I think I will keep the game as is because the true goal is to teach mathematics and not history, which is icing on the cake . . .walkinghttps://www.blogger.com/profile/05046468024103932112noreply@blogger.comtag:blogger.com,1999:blog-35650510.post-59677046260578606502009-09-06T12:44:26.378-04:002009-09-06T12:44:26.378-04:00This is fabulous!This is fabulous!Stephaniehttps://www.blogger.com/profile/06932060902413958983noreply@blogger.comtag:blogger.com,1999:blog-35650510.post-37265506447159772432009-09-06T10:47:13.210-04:002009-09-06T10:47:13.210-04:00Hello, Don Delzer here, Jennifer's husband. I ...Hello, Don Delzer here, Jennifer's husband. I like your examples very much, how to teach this abstract idea using these real examples. I had to think for a moment about the dice game. Since the even numbers add to 12, and the odd numbers add to 9, your game would trend in that upward direction as it does.<br /><br />There is a problem with the calendar game, and that is, AD 1 is preceeded by 1 BC. (http://en.wikipedia.org/wiki/Anno_Domini) There is no year zero. So it doesn't follow the number-theroy rules. You will get a one-year error crossing the boundary. Fixing the error is easy with a one-year offset, but it does make the example complicated. I understand Pamela is great with calendars, so she may know this already, or may be very interested in the problem if she didn't know it.JEMD1966https://www.blogger.com/profile/12091076478714988817noreply@blogger.comtag:blogger.com,1999:blog-35650510.post-49798754635942167132009-09-06T08:21:26.704-04:002009-09-06T08:21:26.704-04:00On Sunday morning, way outside of "school hou...On Sunday morning, way outside of "school hours", Pamela was thinking about our games and making connections of her own. She said that even dice is like the black cards (moving forward) and odd is like the red cards (moving backward.<br /><br />To give her a little preview for next week when I introduce negative versus positive numbers, I said, "There is a special word for that and I am going to tell you what it is in math next week." <br /><br />Isn't that cool? By playing concrete games to spotlight an abstract idea, Pamela already sees the concept of negative versus positive without knowing these abstract words.walkinghttps://www.blogger.com/profile/05046468024103932112noreply@blogger.com