tag:blogger.com,1999:blog-5303307482158922565.comments2016-04-30T12:02:23.054-07:00Math Mama Writes...Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comBlogger2101125tag:blogger.com,1999:blog-5303307482158922565.post-46121721393581189842016-04-30T12:02:23.054-07:002016-04-30T12:02:23.054-07:00Yep. I actually did not have that memorized when I...Yep. I actually did not have that memorized when I began teaching. I could derive it, but that didn't put the final form into quick recall memory. So I had it at the top of my notes when teaching, where I could glance down at it without students noticing. <br /><br />Nowadays I have it memorized, and I don't mind students knowing about my poor memory.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-91040113388724300922016-04-07T05:08:49.499-07:002016-04-07T05:08:49.499-07:00I tend to agree with most of this! Very good post....I tend to agree with most of this! Very good post. The only thing I may remove, or rather edit, is the quadratic formula.<br /><br />Many educators feel that the quadratic formula isn't worth memorizing since it is derived from just completing the square (one being James Tanton who does a wonderful job of doing so in this video http://goo.gl/gNLwqL). So rather than just "memorizing the quadratic formula" perhaps "solving quadratics of any form" would suffice?<br /><br />Happy Math!Tim Robaczewskihttp://www.blogger.com/profile/09696435089972632673noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-68531888892366570552016-03-09T16:35:10.707-08:002016-03-09T16:35:10.707-08:00Link fixed. Thanks for pointing it out!Link fixed. Thanks for pointing it out!Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-59011786409569285582016-03-09T16:34:47.407-08:002016-03-09T16:34:47.407-08:00Lovely.Lovely.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-51052103019580601292016-03-09T05:03:54.875-08:002016-03-09T05:03:54.875-08:00wow - what a list! Thank you for including some o...wow - what a list! Thank you for including some of our posts. <br /><br />Thought you might like to see a couple of the projects you mention with kids:<br /><br />The double Mobius heart one I did with a bunch of kids from the neighborhood - it was fun to see their reactions:<br /><br />https://mikesmathpage.wordpress.com/2015/05/31/cutting-a-double-mobius-strip/<br /><br />The strange harmonic series fact blew me away too - we played around with it and explored why it might be true:<br /><br />https://mikesmathpage.wordpress.com/2015/06/30/counting-and-a-fun-harmonic-series-fact/<br /><br />Also, I think there is a typo in one of the links - the link in "Sam Shah made this fabulous website" isn't working for meMike Lawlerhttp://www.blogger.com/profile/10864229310959004972noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-87314617839753807242016-03-07T19:45:30.302-08:002016-03-07T19:45:30.302-08:00Great linkfest! Isn't it amazing how much wond...Great linkfest! Isn't it amazing how much wonderful math there is for free on the web?<br /><br />The sailboat video is almost begging for a 3 act (a la Dan Meyer):<br />(1) act 1: opening still of the boat, already leaning a bit, bridge in the background.<br />What do they notice, what do they wonder? What info and data do they need?<br />(2) act 2: diagram showing height of bridge, length of mast (maybe also info on width of opening, depth of water, length of keel?)<br />(3) act 3: conclusion of video<br />(4) extensions: what about the keel? what is the largest boat that could get through? Boating wonderings: relationship between keel length and mast height? how heavy were the weighted bags? how did they achieve that leaning angle, how did they manage the angle of lean, and how did they bring the boat back upright?Joshua Greenehttp://www.blogger.com/profile/11702319994021721608noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-21761206922940106462016-03-03T20:01:17.224-08:002016-03-03T20:01:17.224-08:00I changed "much different" to "any ...I changed "much different" to "any better". Yes, they may be worse, but I don't feel a need to emphasize that. The point is, they aren't able to help students retain a love of playing around with math ideas.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-65296418983615092672016-03-03T19:13:57.784-08:002016-03-03T19:13:57.784-08:00Re: "elementary teachers probably aren’t much...Re: "elementary teachers probably aren’t much different than the general population in this"... At this point there's quite a bit of research that elementary educators have the highest math anxiety (and weakest performance) of any college major; e.g., meta-analysis by <a href="http://www.madmath.com/2016/02/hembree-on-math-anxiety.html" rel="nofollow">Ray Hembee</a>. Deltahttp://www.blogger.com/profile/00705402326320853684noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-50439916349355575562016-02-04T20:45:17.354-08:002016-02-04T20:45:17.354-08:00My single favorite paragraph from Howard Eves'...My single favorite paragraph from Howard Eves' 2-volume Great Moments in Mathematics (Lecture 23):<br /><br />"Surely no subject in early college mathematics is more exciting or more fun to teach than the calculus. It is like being the ringmaster of a great three-ring circus. It has been said that one can recognize the students on a college campus who have studied the calculus -- they are the students with no eyebrows. In utter astonishment at the incredible applicability of the subject, the eyebrows of the calculus students have receded higher and higher and finally vanished over the backs of their heads."Deltahttp://www.blogger.com/profile/00705402326320853684noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-53897361572358187442016-01-22T06:35:49.890-08:002016-01-22T06:35:49.890-08:00Minday, please do join the Facebook group, 1001 Ma...Minday, please do join the Facebook group, <a href="https://www.facebook.com/groups/1001mathcircles/" rel="nofollow">1001 Math Circles</a>. People there will be glad to help you brainstorm.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-54821983595309262132016-01-22T00:07:52.556-08:002016-01-22T00:07:52.556-08:00Thanks for sharing this. I have a 13 year old daug...Thanks for sharing this. I have a 13 year old daughter who would probably also say that she hates math. It has been a rough road for her. I am looking for ways to improve math in our homeschool. I like the idea of exploring math outside of a curriculum so much. I'm hoping I can figure out how it can work for our family. mindyhttp://www.blogger.com/profile/18281399488401861671noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-57392998656175474532016-01-20T01:04:17.167-08:002016-01-20T01:04:17.167-08:00I showed the quadrature of the parabola to my math...I showed the quadrature of the parabola to my math history students last year. It's astounding! (It's also pretty difficult, and you'll probably want to be able to have time to "follow along" on your own paper.) I liked this website, which has step by step diagrams to go with the text. http://web.calstatela.edu/faculty/hmendel/Ancient%20Mathematics/Archimedes/QuadraturaParabolae/QP.contents.htmlEvelynhttp://www.blogger.com/profile/08903667625039887922noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-36993528964296148702016-01-17T09:51:13.040-08:002016-01-17T09:51:13.040-08:00I love teaching calculus too. So many uses and you...I love teaching calculus too. So many uses and you are right about the interesting history of it. Julie Morganhttp://www.blogger.com/profile/17661941543916895182noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-1259324803634480912016-01-02T17:09:56.107-08:002016-01-02T17:09:56.107-08:00The circumscribed looks lots harder to figure out....The circumscribed looks lots harder to figure out. I'm not seeing the pattern yet.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-37537633673126230092016-01-02T10:14:44.712-08:002016-01-02T10:14:44.712-08:00Yes. And your comment got me back to playing in ge...Yes. And your comment got me back to playing in geogebra and on paper, to try to figure this all out. I'm now working on a handout for my students.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-35759898443538618282016-01-02T09:18:52.259-08:002016-01-02T09:18:52.259-08:00Archimedes also used a circumscribed hexagon as we...Archimedes also used a circumscribed hexagon as well, so he established not just a lower bound, but an upper bound.Buddha Buckhttp://www.blogger.com/profile/17167036913705912859noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-62334976053290530172015-12-28T19:36:54.040-08:002015-12-28T19:36:54.040-08:00Yes. I don't know what hiccup in my attention ...Yes. I don't know what hiccup in my attention made me chop that up like that. I will fix it.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-44863764815782501262015-12-28T10:39:24.512-08:002015-12-28T10:39:24.512-08:00Don't you mean the lower bound on pi is 3=6/2?...Don't you mean the lower bound on pi is 3=6/2?Win Smithhttp://www.blogger.com/profile/03925765417737217106noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-39264357752280976032015-12-27T03:23:13.147-08:002015-12-27T03:23:13.147-08:00This does not happen to me.This does not happen to me.Maurici Carbohttp://www.blogger.com/profile/09420002939282606820noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-57051506613863262842015-12-26T17:48:09.713-08:002015-12-26T17:48:09.713-08:00Yup, no ads! Now go write! Good Luck Dear!Yup, no ads! Now go write! Good Luck Dear!Amy Zimmerhttp://www.blogger.com/profile/09960137549431994944noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-78767662353857978942015-12-25T05:28:25.523-08:002015-12-25T05:28:25.523-08:00Thank you all! (This is the most comments I've...Thank you all! (This is the most comments I've seen in ages!) I will check into blogger forums if it keeps up. Good to know it isn't happening to others reading my blog.Sue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-28027853462063510362015-12-25T03:17:48.449-08:002015-12-25T03:17:48.449-08:00Haven't seen it as a reader and never experien...Haven't seen it as a reader and never experienced it over the yrs. having done over a half-dozen blogs with blogspot... but that's not to say they couldn't be experimenting with something new. (if it's too persistent/annoying might inquire about it at one of the Blogger forums, and see if you get a response)."Shecky Riemann"http://www.blogger.com/profile/07065658607024191185noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-38335891588708178202015-12-25T02:38:00.354-08:002015-12-25T02:38:00.354-08:00I'm not sure this counts as starting with Arch...I'm not sure this counts as starting with Archimedes, but your post made me wonder if he was credited with responses to any of Zeno's paradoxes. Wikipedia says yes: <a href="https://en.wikipedia.org/wiki/Zeno%27s_paradoxes#Proposed_solutions" rel="nofollow">Proposed Solutions</a> with the sum of an infinite geometric series.<br /><br />Also, there's always this song from Square 1 TV to enjoy: <a href="https://www.youtube.com/watch?v=Bz6VtQJ6-kA" rel="nofollow">Archimedes Song</a>Joshua Greenehttp://www.blogger.com/profile/11702319994021721608noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-10591053590576000342015-12-24T22:17:04.325-08:002015-12-24T22:17:04.325-08:00I don't think blogspot normally has ads. It mi...I don't think blogspot normally has ads. It might be something nasty attached to your browser.Haohttp://www.blogger.com/profile/02348974241652264510noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-16311595843938354202015-12-24T20:00:49.097-08:002015-12-24T20:00:49.097-08:00I don't see any ads, but I'm running AdBlo...I don't see any ads, but I'm running AdBlocker Plus. It does its job. I don't mind static ads on blogs -- the serving companies have to earn a profit somehow -- but so many ads are video nowadays that I just ignore them all.Denise Gaskinshttp://www.blogger.com/profile/11928843626113889088noreply@blogger.com