tag:blogger.com,1999:blog-5303307482158922565.comments2014-12-15T11:56:22.647-08:00Math Mama Writes...Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comBlogger2005125tag:blogger.com,1999:blog-5303307482158922565.post-57326989119256632152014-12-15T09:55:41.077-08:002014-12-15T09:55:41.077-08:00Yes you can also generate a set for N = power of p...Yes you can also generate a set for N = power of prime using projective plane theory (4, 8, 16, 9 27, 25, ...).<br />It is more complex than for N prime because calculation needs polynomials.<br /><br />It was demonstrated impossible for N=6 mathematically, and for N=10 by brute force search.<br />Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-79412185944532678712014-11-16T13:32:35.797-08:002014-11-16T13:32:35.797-08:00Thank you, Buddha! That was great! I will definite...Thank you, Buddha! That was great! I will definitely keep playing with it.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-33794952521836375002014-11-13T00:16:04.953-08:002014-11-13T00:16:04.953-08:00Terry Tao's cosmic distance ladder is somethin...Terry Tao's cosmic distance ladder is something of a subset of the powers of ten. Most of his presentation talks about how we can measure or consider distances on cosmic scales. He has several slides where he has distances of different orders of magnitude presented together and, of course, the way to do that is to think logarithmically.<br /><br />In the spirit of concrete-pictorial-abstract, maybe the slide rule is the manipulative high school students are missing? <br /><br />BTW, I don't want to dismiss calculating (or elements of calculating) entirely as a motivation. I know at least two nerdy kids (my middle child and me) who got a kick out of different calculations we could suddenly do easily with a log table.Joshua Greenehttp://www.blogger.com/profile/11702319994021721608noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-79435560491878333242014-11-11T10:42:46.248-08:002014-11-11T10:42:46.248-08:00I agree that calculating is of minor interest. I l...I agree that calculating is of minor interest. I like explaining the history as context, and I'm thinking knowing how a slide rule works would help in that regard. I like your examples, and my students might. I have often shown them the powers of ten video in the past, though I didn't this semester. Is Terry Tao's like that?Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-9329479509631411262014-11-11T08:27:18.676-08:002014-11-11T08:27:18.676-08:00When you figure out the slide rule, it might be in...When you figure out the slide rule, it might be interesting to see what you think was blocking you. One guess is that it is simply the number of rules on most commercial versions that can obscure the basic functions. Just knowing how the rules are labelled might be enough (which is on wikipedia here: http://en.wikipedia.org/wiki/Slide_rule)<br /><br />Logarithms are great for calculating, but in the modern world I think the pedagogical value of this fact is very limited. In other words, students won't care that they can do calculations by using a slide rule when they have much more powerful tools. As an alternative, you might talk about log scale graphs for processes that compound (for example, many biology models and financial values). For a specific example, the stock market rising 10% one year should be presented to look the same as a 10% rise in another year.<br /><br />Why else might we care about logs? They let us look across orders of magnitude on a single picture, like Terry Tao's presentation on the cosmic distance ladder.<br /><br />Do any of these things resonate with your students?<br />Joshua Greenehttp://www.blogger.com/profile/11702319994021721608noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-72717305446082868002014-11-11T07:24:44.566-08:002014-11-11T07:24:44.566-08:00My email is mathanthologyeditor on gmail. My email is mathanthologyeditor on gmail. Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-8724313518061813992014-11-11T07:22:54.206-08:002014-11-11T07:22:54.206-08:00Thank you! We could skype, and use the online slid...Thank you! We could skype, and use the online slide rule I pointed to. Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-72142673458728256852014-11-10T21:22:20.159-08:002014-11-10T21:22:20.159-08:00I'm not sure what you want in a tutor, and how...I'm not sure what you want in a tutor, and how a tutor (especially over the internet) would be different than a book.<br /><br />I mean, I can tell you that the method of multiplying two numbers is to use the C and D scales (which each represent the log of the marked numbers), but so can the course/book I linked to. I can't put one in your hand and show you, since we aren't close (I'm a New Yorker, you're a Californian).<br /><br />Let me know how I can help.Buddha Buckhttp://www.blogger.com/profile/17167036913705912859noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-74484915615223608882014-11-10T15:19:34.956-08:002014-11-10T15:19:34.956-08:00I don't want a course. I want a tutor. I'm...I don't want a course. I want a tutor. I'm sure I'll catch on quickly. <br /><br />It's so weird. It seems like it must be pretty straightforward, and I try to figure it out, and am just stuck. (Now I'll be embarrassed when I learn, I bet.)Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-50963261495002438712014-11-10T15:17:06.914-08:002014-11-10T15:17:06.914-08:00I had a long post on how to use a slide rule, but ...I had a long post on how to use a slide rule, but it seems to have been both too long and edible to the internet gremlins.<br /><br />Check out http://sliderulemuseum.com/SR_Course.htm which not only gives a self-directed course in using a slide-rule, it has information on a classroom slide-rule loaner program.<br />Buddha Buckhttp://www.blogger.com/profile/17167036913705912859noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-89413991376200887732014-10-19T02:48:24.620-07:002014-10-19T02:48:24.620-07:00Agree... for too many reasons to mention I can'...Agree... for too many reasons to mention I can't imagine that shirt would be a very big seller; and while it's intended to be humorous, it isn't very chuckle-worthy!"Shecky Riemann"http://www.blogger.com/profile/07065658607024191185noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-43868011114147857342014-10-18T13:06:08.378-07:002014-10-18T13:06:08.378-07:00Ah, math myths, how shall we count thee?
(1) Math...Ah, math myths, how shall we count thee? <br />(1) Math people are smarter than the rest of us. (2) There ARE "math people." (3) Math problems always have a "right" answer. (4) Math is never open to interpretation or debate. (5) ...Denise Gaskinshttp://letsplaymath.net/noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-59438916329407955142014-09-30T07:09:46.185-07:002014-09-30T07:09:46.185-07:00Fun animation. I showed it to my kids (very small)...Fun animation. I showed it to my kids (very small) and they were eager to experiment, moving the curves around and changing the sizes. Of course, that was after I had my turn playing with the system (I hadn't seen desmos before).<br /><br />FYI, if you want to embed animations into your blog posts, you can use iframes, like this: <br /><iframe height="1000" src="https://www.desmos.com/calculator/3x8xwsw7hp" width="1000"> </iframe><br /><br />You often have to adjust the height and width parameters. I assume there are great ways to control how the source gets presented within the frame, but I haven't found those yet.Joshua Greenehttp://www.blogger.com/profile/11702319994021721608noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-66210177859523130382014-09-29T22:27:16.742-07:002014-09-29T22:27:16.742-07:00Hey Sue,
Well Written. Just want to put some light...Hey Sue,<br />Well Written. Just want to put some light on connection between math and chess. Math and chess do have some interconnection because both of these require brainstorming. A good chess player is expected to perform better in mathematics and this has been proven many times.<br />Also, i would like to appreciate the work that you are currently doing. I myself teach mathematics try to see different methods that can help the students to grasp the concepts in easy way. We give <a href="http://sunnyvalemathchess.com/" rel="nofollow">math and chess lessons in sunnyvale</a> and are going to make use to some tactics to implement.<br />Regards:<br />LarysaLarysa Yoasthttp://www.blogger.com/profile/10679430017293166175noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-78878556025218463182014-09-15T20:50:07.612-07:002014-09-15T20:50:07.612-07:00Bowen's link takes you to a page with puzzles ...Bowen's link takes you to a page with puzzles that are somewhat similar to Paul's. Bowen, do you work with the folks who made that page? Can you tell us more about why you recommend it?Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-11044700707556217472014-09-15T20:39:44.555-07:002014-09-15T20:39:44.555-07:00Psst: check out http://solveme.edc.orgPsst: check out http://solveme.edc.orgBowen Kerinshttp://www.blogger.com/profile/06715818962840193625noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-79538221930543803792014-09-12T09:08:50.916-07:002014-09-12T09:08:50.916-07:00Why is this trust so hard?
Another perspective th...Why is this trust so hard?<br /><br />Another perspective that compliments this: everything we are trying to teach them was cool or exciting for someone at sometime. For example, even double entry bookkeeping was a major innovation!<br /><br />I've started teaching a little programming class at my child's school. Basically, my approach is to combine these two ideas. I show them some cool things and then encourage them to play. Mostly, this involves not standing in their way or removing some minor obstacle or misunderstanding that is blocking them. The big obstacles, though, they get the joy and satisfaction of tackling themselves.Joshua Greenehttp://www.blogger.com/profile/11702319994021721608noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-56172147515793086012014-09-04T05:13:25.911-07:002014-09-04T05:13:25.911-07:00And you're welcome to email me if you'd li...And you're welcome to email me if you'd like this as .doc or .pdf.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-78057708689496247442014-09-04T05:12:23.082-07:002014-09-04T05:12:23.082-07:00I've fixed the post. Blogger took out all my i...I've fixed the post. Blogger took out all my illustrations a while back, and I'm fixing things one by one.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-64837383341379627202014-09-03T20:08:58.995-07:002014-09-03T20:08:58.995-07:00Is there a way to get the gameboard mentioned or w...Is there a way to get the gameboard mentioned or whatever was attached? I only see a circle with a line through it. Thanks!Stephanie Dosshttp://www.blogger.com/profile/12918022811752414611noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-24296196217047621612014-09-02T19:26:39.204-07:002014-09-02T19:26:39.204-07:00Hi I actually read the original version of the boo...Hi I actually read the original version of the book in Russian. Besides being a good source of psychological and pedagogical analysis the book contains the description of the way the classes were conducted and the materials used. I only wish one day the author looks at the current market and provides readers with his view on what we can use now for similar purposes. I would have liked to see what additional MODERN books he recommends, what he thinks of electronic devices and apps for kids etc. Some aids the author used in his book are not available any more and some of the books he read to the kids are a rare find as they are out of print. However most information in the book I am able to use and my kids are enthusiastic each time I give them a task from the book. Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-12504334400110336832014-08-28T20:15:45.443-07:002014-08-28T20:15:45.443-07:00Pre-order page is up. You can order now. The book ...<a href="http://www.moebiusnoodles.com/playingwithmath/" rel="nofollow">Pre-order page</a> is up. You can order now. The book should be out in November.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-15554992788841999292014-08-23T01:28:43.812-07:002014-08-23T01:28:43.812-07:00likelikeowen thomashttp://www.blogger.com/profile/09249915192605437832noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-71230602775668760422014-08-11T16:35:16.862-07:002014-08-11T16:35:16.862-07:00If the segments marked 1.8 are parallel, then the ...If the segments marked 1.8 are parallel, then the answer is unique. There is no indication that they are parallel. Perhaps a right-angle mark on the other end of the dashed line?Curmudgeonhttp://www.blogger.com/profile/04323026187622872114noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-43658460373457653392014-08-06T07:28:44.658-07:002014-08-06T07:28:44.658-07:00Thanks for pointing out my mistake. I have fixed i...Thanks for pointing out my mistake. I have fixed it now. (Myth number two is addressed in the next issue.)<br /><br />For now, I'll leave myth number two as it is, but I'll consider your stylistic point when I revise these later in the fall.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.com