tag:blogger.com,1999:blog-4987609114415205593.post8348601627167770929..comments2021-11-27T06:19:13.288+00:00Comments on M-Phi: What is it like to be a blind mathematician?Jeffrey Ketlandhttp://www.blogger.com/profile/01753975411670884721noreply@blogger.comBlogger11125tag:blogger.com,1999:blog-4987609114415205593.post-20477274748716274482020-05-27T11:01:14.790+01:002020-05-27T11:01:14.790+01:00I’d like to thank you for the efforts you’ve put i...I’d like to thank you for the efforts you’ve put in penning this site. <a href="https://www.tecteem.com/toxicwap-tv-series-www-toxicwap-com/" rel="nofollow">I’m hoping to see the same high-grade content by you later as well</a>. In truth, your creative writing abilities has motivated me to get my own, personal website now �� Here is my web site: <a href="http://www.tecteem.com" rel="nofollow">tecteem</a>.marvelloushttps://www.blogger.com/profile/12383241338062180442noreply@blogger.comtag:blogger.com,1999:blog-4987609114415205593.post-77365104694969248972016-08-17T02:02:52.877+01:002016-08-17T02:02:52.877+01:00Your math teaching statement very helpful now i ea...Your math teaching statement very helpful now i easily complete my task of education thanks for share it <a href="http://www.teachingstatement.net/our-statement-of-teaching-services/math-teaching-statement-help/" rel="nofollow">math teaching statement</a> .ANNE Ehttps://www.blogger.com/profile/13655511123422765664noreply@blogger.comtag:blogger.com,1999:blog-4987609114415205593.post-31453457265627600452016-01-17T00:08:18.618+00:002016-01-17T00:08:18.618+00:00This comment has been removed by the author.Allen jeleyhttps://www.blogger.com/profile/10312119051975318074noreply@blogger.comtag:blogger.com,1999:blog-4987609114415205593.post-84671773618579923562014-02-04T15:47:59.237+00:002014-02-04T15:47:59.237+00:00you might check out Dr. Robert O Shelton who publi...you might check out Dr. Robert O Shelton who published papers on non-collision singularites in the 4 body problem. Working at NASA, he created software, MathTrax, I believe, that helps blind students work with graphs and physics simulations. Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-4987609114415205593.post-66249546278811085512011-10-27T13:35:26.033+01:002011-10-27T13:35:26.033+01:00Hi Catarina,
Thanks very much, that's very he...Hi Catarina,<br /><br />Thanks very much, that's very helpful.<br /><br /><br />Best,<br />MichaelAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-4987609114415205593.post-11809489373827984682011-10-27T12:53:41.505+01:002011-10-27T12:53:41.505+01:00Hi Michael, glad you liked the post. The line you ...Hi Michael, glad you liked the post. The line you singled out above is pretty much a summary of what I've been working on over the last few years. A draft of my forthcoming book on the topic is available here:<br /><br />https://sites.google.com/site/catarinadutilhnovaes/home/book-on-formal-languages<br /><br />I also have a draft of a paper which may be of interest to you:<br /><br />http://m-phi.blogspot.com/2011/07/mathematical-reasoning-and-external.htmlCatarinahttps://www.blogger.com/profile/03277956118114314573noreply@blogger.comtag:blogger.com,1999:blog-4987609114415205593.post-83183471754415436532011-10-25T23:48:07.140+01:002011-10-25T23:48:07.140+01:00Hello, I have just found your blog this past weeke...Hello, I have just found your blog this past weekend and am very glad to have done so.<br /><br />Amongst many other things I am fascinated with the learning and teaching of mathematics and logic so this bit of your post really caught me eye:<br /><br />"[A]re we merely reporting independent, prior cognitive processes by means of notations, or is the manipulation of the notation itself part of these cognitive processes? Unsurprisingly, I side with the second alternative, and in that case the perceptual properties of the notation will have a significant impact."<br /><br />Please can you tell me anything you have written on this as I would be very interested to read it.<br /><br />Thankyou very much.<br /><br />Michael, from the UK.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-4987609114415205593.post-70076570043962825652011-07-06T13:36:46.596+01:002011-07-06T13:36:46.596+01:00Yes, Euler is an interesting case, because he lear...Yes, Euler is an interesting case, because he learned mathematics in the 'usual' way and then had to adapt to a different modus operandi later in life. In fact, all different 'variations' are interesting from the point of view of the cognitive impact of manipulating notations when doing math: those who were born blind, those who were not born blind but who were blind at the point they started learning math (that's Morin's case, blind at age 6 if I'm not mistaken) and those who were not blind when they trained to be mathematicians but became blind later in life. My prediction is that different cognitive strategies would be used in each case, in particular along the dimension of being blind or not upon being trained as a mathematician. I expect there would be less of difference between those born blind and those who became blind early in life such as Morin, prior to mathematical education.Catarinahttps://www.blogger.com/profile/03277956118114314573noreply@blogger.comtag:blogger.com,1999:blog-4987609114415205593.post-69099603558864823252011-07-06T13:07:26.481+01:002011-07-06T13:07:26.481+01:00I imagine this has already come up, but Euler famo...I imagine this has already come up, but Euler famously spent nearly forty years producing mathematics while totally blind, including a large number of his best works. The biographies appear to put it down to his "remarkable memory" and the help of several assistants (see http://www-history.mcs.st-andrews.ac.uk/Biographies/Euler.html ).Fenner Tanswellnoreply@blogger.comtag:blogger.com,1999:blog-4987609114415205593.post-21894988324106303272011-07-05T21:35:41.674+01:002011-07-05T21:35:41.674+01:00How cool that you worked with Larry Wos! His name ...How cool that you worked with Larry Wos! His name came up in replies to my query at FOM, and among other things, I found out that he is also the best blind bowler in the US, how cool is that? (For a logician, I mean... He's probably the best logician-bowler, period.) At some point you should tell me more about the way he works.Catarinahttps://www.blogger.com/profile/03277956118114314573noreply@blogger.comtag:blogger.com,1999:blog-4987609114415205593.post-88324728290938946812011-07-05T21:22:07.423+01:002011-07-05T21:22:07.423+01:00In the 1990's, I collaborated extensively with...In the 1990's, I collaborated extensively with Larry Wos -- one of the first blind math PhD.s in the US. We worked on theorem proving together. He had an uncanny knack for syntax -- he worked on a Braille terminal, and was faster than I was at absorbing proofs (and generally interpreting output on the computer). Really an amazing story. See: <br /><br />http://www.mcs.anl.gov/~wos/uofc-bio.htmlBranden Fitelsonhttps://www.blogger.com/profile/05761611261893510504noreply@blogger.com