tag:blogger.com,1999:blog-5303307482158922565.comments2015-03-02T15:40:11.829-08:00Math Mama Writes...Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comBlogger2018125tag:blogger.com,1999:blog-5303307482158922565.post-67304262919703579492015-02-27T20:56:11.736-08:002015-02-27T20:56:11.736-08:00I'm currently taking a course on programming a...I'm currently taking a course on programming algorithms at SDSU and it is by far the most math-intensive computer science course there is. I think it'd be very useful to learn how to come up with a formula for a problem like you have. It seems like an essential skill for writing programs designed to calculate an answer for a problem.CMD619http://www.blogger.com/profile/17959687959176018305noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-68007584727417815922015-01-13T06:30:16.383-08:002015-01-13T06:30:16.383-08:00Thanks, Shireen!Thanks, Shireen!Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-71563201468879253952015-01-13T04:46:34.996-08:002015-01-13T04:46:34.996-08:00Hope your health issues clear up and leave you alo...Hope your health issues clear up and leave you alone .... pesky body! And Happy New Year!Shireen Dadmehrhttp://www.blogger.com/profile/16282965851939089408noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-89958181947653858522015-01-08T23:29:23.021-08:002015-01-08T23:29:23.021-08:00I organized the information visually in an array w...I organized the information visually in an array with the letters of the alphabet along the top row. As I listed each word (with the number of correct letters) on a new row, I put a dot under the letters that the word is composed of. When letters were eliminated, I crossed off the dots in that column. After STOMP and TRUCK eliminated UOT, the only letters possible from QUOTE were Q and E, and Q would be unlikely without the U. Therefore, one letter is (most likely) E. I circled the E column so that when I continued to list words, if I put a dot in the E column I knew that one letter of the new word listed was already spoken for. I continued filling in information on the chart, and didn't have any new leads until QUICK. (Actually the first time I worked it out I accidentally skipped over the word QUICK, which made it a bit more complicated, but still solvable!) Continuing with the assumption that Q was eliminated due to no U, the next letter must be I because C and K have already been eliminated. I circled the I column in my chart. Now, looking back at the word DIRTY, I eliminated D and Y.Since D, R, and Y have been eliminated, then LARDY gives us both A and L. I circled those columns.Now looking back and BLAND, I can eliminate B and N. Looking back at FLASH, I eliminate F and H. Looking back at VOWEL, I eliminate V and W. BINDS gives no new information since I already know I, and the other letters have all been eliminated. NIGHT gives us the G since N, H and T have been eliminated and we already know I. We now have 5 letters, A, E, G, I, and L, and playing around with them a bit leads me to AGILE. We don't need to use LINER, but it's a good confirmation. Sorry if it was a spoiler! I'm happy to email you my chart if the explanation was confusing. Fun game! Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-55204307451980391012015-01-08T09:42:12.794-08:002015-01-08T09:42:12.794-08:00Some further thoughts. Spoilers if people don'...Some further thoughts. Spoilers if people don't want to know:<br />TRUCK 0 and QUICK 1 implies QUI 1. Since Q needs a paired U, QU being correct means 2 right, so we have UI 1, so either U or I are in the final word.<br />STOMP 0 and EXITS 2 implies EXI 2. <br />TRUCK 0 and LINER 3 means LINE 3. <br /><br />This gives us the following possibilities:<br />U (not I) then EX and LN, so EXLNU. Doesn't fit with LARDY 2, so we conclude I is a letter, not U.<br />QUOTE 1 then means E is a letter, so we have E, I + {L or N}. <br />DIRTY 1 and LARDY 2 means we must have L.<br /><br />Now, we're at E I L.<br /><br />BINDS 1 and BLAND 2 implies A.<br />FLASH 2 and NIGHT 2 implies G.<br /><br />Now, we have E I L G A.<br />Joshua Greenehttp://www.blogger.com/profile/11702319994021721608noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-32571783721191006202015-01-08T09:20:13.161-08:002015-01-08T09:20:13.161-08:00I'm trying to think of a useful way to organiz...I'm trying to think of a useful way to organize the information you get at each guess. Still no great approach.<br /><br />My temptation following STOMP would have been to pursue 2 letter modifications, like<br />SWAMP<br />SLUMP<br />STOCK<br /><br />Though this seems similar a strategy mentioned in Chris Okasaki's blog that he declares sub-optimal.Joshua Greenehttp://www.blogger.com/profile/11702319994021721608noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-29692318537371874352015-01-08T07:29:45.390-08:002015-01-08T07:29:45.390-08:00Glad to bring back memories, Shecky.
Anonymous, c...Glad to bring back memories, Shecky.<br /><br />Anonymous, can you tell us how you got that word?Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-56652455674341836742015-01-08T00:14:32.002-08:002015-01-08T00:14:32.002-08:00AGILE :)AGILE :)Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-32674654344420333972015-01-07T08:51:32.323-08:002015-01-07T08:51:32.323-08:00Yes, growing up in the midwest (1950s), "Jott...Yes, growing up in the midwest (1950s), "Jotto" was our favorite family game (even though we knew of no other households familiar with it). Great game, that can be played online now, but I've not seen it in a store in forever. BTW, in the original game you could choose 5-letter words with multiple same-letters, like "state" or "puppy" which made for deliciously-difficult games. <br />Anyway, you brought back memories!"Shecky Riemann"http://www.blogger.com/profile/07065658607024191185noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-37158619828897170932015-01-06T20:28:16.516-08:002015-01-06T20:28:16.516-08:00I love your post! Yep, this looks like Jotto. But ...I love your post! Yep, this looks like <a href="http://en.wikipedia.org/wiki/Jotto" rel="nofollow">Jotto</a>. But I like my name better, since it's a legal word in the game. And I like your version too.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-28702592167968625972015-01-06T19:33:31.968-08:002015-01-06T19:33:31.968-08:00This game used to be sold under the name "Jot...This game used to be sold under the name "Jotto". For 5 letters, I need to be able to keep notes. But the same game using only 3 letters (4 if you're really ambitious) can easily be played without any note-taking and, in pre-smartphone days, used to be a family favorite to kill time while driving or waiting in line. Here's a write-up of one particularly memorable session: http://okasaki.blogspot.com/2008/04/games-for-programmers-jotto.htmlChris Okasakihttp://www.blogger.com/profile/18247315355264748920noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-53118208119214841242014-12-22T07:46:29.440-08:002014-12-22T07:46:29.440-08:00Leanne, I'm not sure what you're asking. T...Leanne, I'm not sure what you're asking. There are 268 triangles in that 4x4 picture in the post. To find them takes a lot of work, and it's a lot more interesting if you're trying to find patterns, and understand them.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-3296133329226168892014-12-20T22:54:47.764-08:002014-12-20T22:54:47.764-08:00so what is the correct answer?so what is the correct answer?Leanne Barkerhttp://www.blogger.com/profile/17739794646818272799noreply@blogger.comtag: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.com