tag:blogger.com,1999:blog-2256375873271579383.post3575754454618471403..comments2024-03-27T23:55:01.532-07:00Comments on Divisible by 3 [Andrew Stadel]: 4!Anonymoushttp://www.blogger.com/profile/06699410662148629132noreply@blogger.comBlogger18125tag:blogger.com,1999:blog-2256375873271579383.post-27930776290829831242015-06-01T09:46:45.460-07:002015-06-01T09:46:45.460-07:00A classic!A classic!Anonymoushttps://www.blogger.com/profile/06699410662148629132noreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-15010883734500385402015-05-31T15:28:16.156-07:002015-05-31T15:28:16.156-07:00You could relate this to the number of handshakes ...You could relate this to the number of handshakes in a group of people problem too I believe. Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-76749796225676266692015-01-04T14:33:21.623-08:002015-01-04T14:33:21.623-08:00Thanks Pawan for sharing. I understand what you...Thanks Pawan for sharing. I understand what you're saying, but wouldn't call it hidden. I see it more as an applicable context. <br />Realistically, if there was a spelling bee and in all fairness, I said I would scramble the contestants, what are all the possible arrangements? With a few kids, it's easy to think it out in a minute. However, if I had a larger pool of contestants, I would appreciate some mathematical process. <br />As for pure math, that's the lovely challenge of our job as educators, I believe (in middle school) there are more applicable contexts to math than pure math. Anonymoushttps://www.blogger.com/profile/06699410662148629132noreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-63077235679063306232015-01-04T14:28:37.800-08:002015-01-04T14:28:37.800-08:00Thanks for helping me out. That's a great remi...Thanks for helping me out. That's a great reminder to use arrangements or permutations. Seeing this was predominantly with English learners, I would lean toward "arrangements" as a more informal way of talking and then build in the "permutations". Thanks.Anonymoushttps://www.blogger.com/profile/06699410662148629132noreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-25983819458037857762014-12-28T10:16:28.406-08:002014-12-28T10:16:28.406-08:00Other than referring to permutations as combinatio...Other than referring to permutations as combinations (because combinations are closely related but distinct from permutations), I really liked the approach. I noticed that you hid the teaching of a mathematical concept under spelling bee (a game/contest) for motivating the kids. That seems to be an effective approach for getting kids interested in learning mathematical concepts (as a means towards another end rather than as an end in itself). <br /><br />At some level, I wish we didn't have to hide math under other things. But, it's all good if one day the students are able to appreciate the beauty of pure math as well as the applied version. If they become disinterested today, that would be a remote possibility.Pawan Kumarhttps://www.blogger.com/profile/03781569739511052533noreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-31453818372049761342014-12-28T08:11:12.395-08:002014-12-28T08:11:12.395-08:00I volunteer for the math club at my daughter's...I volunteer for the math club at my daughter's school. Their teacher had asked me write some posts on solving probability problems. I introduced the factorial via a seating problem story, which I built somewhat similarly - http://nmsmathclub.blogspot.com/2014/11/no-favorite-seats.htmlPawan Kumarhttps://www.blogger.com/profile/03781569739511052533noreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-84549567985217566772014-12-28T08:02:42.995-08:002014-12-28T08:02:42.995-08:00I second that. I would much rather say "arran...I second that. I would much rather say "arrangements" if not "permutations" because combinations mean something quite different, and students do get confused between permutations and combinations. Pawan Kumarhttps://www.blogger.com/profile/03781569739511052533noreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-48869985596628284702014-04-05T04:39:57.546-07:002014-04-05T04:39:57.546-07:00I think this a good approach and the very helpful ...I think this a good approach and the very helpful article regarding factorial of 4. I think this article help the student to learn more about the factorial. I appreciated your work. I would like to say Thanks for sharing this article.Alicelewishttp://www.ipracticemath.comnoreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-36010475128152712812014-04-04T19:41:37.699-07:002014-04-04T19:41:37.699-07:00I did this today, so I wanted to stop by and say &...I did this today, so I wanted to stop by and say "TTTHHHAAANNK YYOUU!!!". FACTORIAL!!!!<br />I passed out strips of paper with color dots instead of the cubes, which is quick and cheap alternative. I also found a website that has previous Spelling Champion words, and then dictionary.com helped with the pronunciation, and hilarity ensued. <br />We have been knee deep in quadratics lately, so it was a welcomed break for the students. I've been as CCSS as I can be with quadratics, gallery walks and the such, but it still hits a point of dragging. An added bonus was when my high achieving students immediately went to write and equation, and realized that the patterns they are used to searching for didn't exist.<br />I finished the lesson talking about how important FACTORIALS!!!!! are in quantum physics. I didn't spend a lot of time with that aspect of it, but I wanted to cement the fact that this new tool they learned is important.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-15154429065334380012014-03-29T08:01:59.222-07:002014-03-29T08:01:59.222-07:00Thanks for sharing your approach. Did you share w...Thanks for sharing your approach. Did you share with students that factorials are a kind of permutation and that in math combinations are groupings where the order doesn't matter? Just wondering how deep you took this in subsequent lessons. Kathrynhttps://www.blogger.com/profile/04301412875277554720noreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-18653852694041158072014-03-28T20:26:00.028-07:002014-03-28T20:26:00.028-07:00Thanks Nanette.Thanks Nanette.Anonymoushttps://www.blogger.com/profile/06699410662148629132noreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-42872376531091832372014-03-27T20:28:22.123-07:002014-03-27T20:28:22.123-07:00848! Awesome!848! Awesome!Anonymoushttps://www.blogger.com/profile/06699410662148629132noreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-28890300266841577352014-03-27T16:30:48.726-07:002014-03-27T16:30:48.726-07:0072659532352331669465387317964541490327158603407862...72659532352331669465387317964541490327158603407862497819051505167825212554092719825854319518063147027513610184785376207903389097321213097332694262924197459034702554574380465837160150990371301177373649597858306887704291472881011725163932784636620821649210484706132426658314255823136841392895137831883319666065284532341893484879148185259318038571097249178263188727301290486974419425716246412938022509147382599642683189959864993819223344172114834546575875156081714079173827947196082060615343004503615966063413925926301221456673919719127522236470716834832340449878752888211875239276474344027834195149760630064452549229837172849969447280465584626913608835465592004523949856883499197900133721283181599046422696956058427924744558162627684162701811188071678070411066072710587640976813426254877943334464341936581387645078195485722746514055555539273360079229026308832278833977481295747506349955791323351785671037426041360127299901330120015187889890377161297280037348999275284463582829909489287314801425772015957342345105572075099637006077183155337807264695539104871880890989949497097631895018352151203056561945027828634296885592206765976815358134204874664973096676231581429335640709739179834598238236938828532649711609963136405375200042665756350748532740089500069708175027520823536024600878141904329406389592595194159418391405554004186072496281101093069602296381270877911049732416398127330127568840478116642497274529274667014893743677353031567876890476191264149324344394821579054104905749129538546919362695992627695105862331341735043600368288312912728971554097264729920456994303923494565877428348011989724490225195748535466620449658740748556715401450120006869210681849861817149375735439438715842682010657157370379070049494587056522597331005526812705244760849401074331281864704304029392357276085948343295746838337566519294143034426906312344586977858432466673977151238081557159113028782126382687927051632571942632737996800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000Davidhttps://www.blogger.com/profile/08098221991466148258noreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-86104724284961857172014-03-27T14:20:06.315-07:002014-03-27T14:20:06.315-07:00I agree with Robert, and you really created a want...I agree with Robert, and you really created a want to know the math. Thanks for sharing.Anonymoushttps://www.blogger.com/profile/02197277995469072426noreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-57850204980295839022014-03-27T06:06:03.824-07:002014-03-27T06:06:03.824-07:00Thanks Robert.Thanks Robert.Anonymoushttps://www.blogger.com/profile/06699410662148629132noreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-53825326074147942372014-03-27T05:58:07.194-07:002014-03-27T05:58:07.194-07:00I love the way you built a context for factorial. ...I love the way you built a context for factorial. Simply introducing it by itself without understanding where it comes from is much less powerful. Great job.Robert Kaplinskyhttps://www.blogger.com/profile/12730219834465583755noreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-14456462550919685802014-03-27T05:44:06.479-07:002014-03-27T05:44:06.479-07:00Very fun. Thanks Tracy.Very fun. Thanks Tracy.Anonymoushttps://www.blogger.com/profile/06699410662148629132noreply@blogger.comtag:blogger.com,1999:blog-2256375873271579383.post-3919936313762196422014-03-27T02:30:59.616-07:002014-03-27T02:30:59.616-07:00Andrew, you and your students might enjoy the shor...Andrew, you and your students might enjoy the short video my friend Justin Solonynka made with his class. They were looking for all the possible ways to arrange Justin's daughter's train puzzle. It's pretty fantastic. http://tinyurl.com/trainmathTracy Zagerhttps://www.blogger.com/profile/18078005798782089280noreply@blogger.com