Comments for profkeithdevlin
https://profkeithdevlin.org
Mathematics and other stuffThu, 22 Dec 2016 15:19:55 +0000hourly1http://wordpress.com/Comment on The Wuzzits – Free at Last by henpaul2000
https://profkeithdevlin.org/2013/09/03/the-wuzzits-free-at-last/#comment-68967
Thu, 22 Dec 2016 15:19:55 +0000http://profkeithdevlin.org/?p=463#comment-68967You are great mathematician , You taught me mathematical thinking on coursera . Ever since my thinking change. Love to hear more from you sir.
]]>Comment on How to design video games that support good math learning: Level 6 by queenofmathblog
https://profkeithdevlin.org/2012/04/06/how-to-design-video-games-that-support-good-math-learning-level-6/#comment-67461
Fri, 06 May 2016 06:21:36 +0000http://profkeithdevlin.wordpress.com/?p=368#comment-67461nice Article you may like to watch Google Math Puzzle https://www.youtube.com/watch?v=r4uoO4cBLFs
]]>Comment on What is algebra? by Jerry Lou
https://profkeithdevlin.org/2011/11/20/what-is-algebra/#comment-67239
Fri, 08 Apr 2016 19:30:20 +0000http://profkeithdevlin.wordpress.com/?p=81#comment-67239algebraic thinking is not taught well in schools is because the teachers do not really have them. In my school, many kids working hard just on manipulating symbols, but without understanding what they are doing, they often have big trouble to come up with an equation for a problem.
however, I thinking strong arithmetic skills paves a way to mastering algebra.
]]>Comment on What is algebra? by Andrew Hacker and the Case for and Against Algebra: – State of Nevada Council on Black American Affairs
https://profkeithdevlin.org/2011/11/20/what-is-algebra/#comment-66439
Mon, 29 Feb 2016 21:34:59 +0000http://profkeithdevlin.wordpress.com/?p=81#comment-66439[…] background on the early development of algebra and its present day nature, see my earlier article What is Algebra?, published in […]
]]>Comment on The beginnings of Education Science? by Michael Paul Goldenberg
https://profkeithdevlin.org/2016/01/18/the-beginnings-of-education-science/#comment-65431
Thu, 21 Jan 2016 23:58:38 +0000http://profkeithdevlin.org/?p=704#comment-65431Thanks for this intriguing piece. Lots to mull over. There’s little question in my mind that the over-hyping of pretty much everything in education that can be shown via some research or other to have a “positive effect” (particularly on some standardized test score) has made some of us very cautious about any claims that make something sound like an alleged magic bullet. I’m really glad you avoided doing that here. Unfortunately, with so much money invested in finding the next “killer ap,” few people seem to have that sort of integrity and restraint.
]]>Comment on What is a proof, really? by Ankit Raj Goyal
https://profkeithdevlin.org/2014/11/24/what-is-a-proof-really/#comment-65279
Mon, 18 Jan 2016 06:31:54 +0000http://profkeithdevlin.org/?p=681#comment-65279I understand prof that with the work of Thomas Kuhn nothing is now for sure . But is this situation going to last forever or with better knowledge and understanding ( and maybe use of computer proofs , as one comment mentioned ) , we could move forward in the “truthfulness ” of proofs . I of course love and agree that ” if you live with the sword of precision you should be prepared to die for it as well ” but my query is whether there is any scope for the situation to ” improve ” in the coming years . Your comment would be highly helpful . Thanks .
]]>Comment on The golden age of Arabic mathematics by Ankit Raj Goyal
https://profkeithdevlin.org/2011/12/19/goldenage/#comment-65278
Mon, 18 Jan 2016 06:18:07 +0000http://profkeithdevlin.wordpress.com/?p=166#comment-65278Great blog prof ! …. I would be really interested in knowing whether the Arabic results have withstood the test of rigour that was brought on to math in the later years in the Western tradition . I would really appreciate if you could make a post on the origin n history of the symbolic notation in math . Thank you prof once again for a very interesting n stimulating post . Cheers !
]]>Comment on What is a proof, really? by Keith Devlin
https://profkeithdevlin.org/2014/11/24/what-is-a-proof-really/#comment-61297
Sun, 04 Oct 2015 12:22:26 +0000http://profkeithdevlin.org/?p=681#comment-61297There are two notions of proof being considered here, the formal model of a proof as a logically connected sequence of statements, independent of a reader, and the social construct used by one mathematician to convince others. This distinction is what my post is all about.
]]>Comment on What is a proof, really? by lectorconstans
https://profkeithdevlin.org/2014/11/24/what-is-a-proof-really/#comment-61132
Wed, 30 Sep 2015 18:44:17 +0000http://profkeithdevlin.org/?p=681#comment-61132In today’s news: Terence Tao (UCLA) published a proof of the Erdos discrepancy problem. Previously: “Last year, Alexei Lisitsa and Boris Konev of the University of Liverpool, UK used a computer to prove that the discrepancy will always be larger than two. The resulting proof was a 13 gigabyte file.” That seems a bit extreme.
]]>Comment on What is a proof, really? by lectorconstans
https://profkeithdevlin.org/2014/11/24/what-is-a-proof-really/#comment-60566
Mon, 21 Sep 2015 04:57:46 +0000http://profkeithdevlin.org/?p=681#comment-60566A question about proofs in general. I’ve been of the opinion that your statement “.. that convince suitably qualified others …” is th mark of a good proof. But then, Prof Devlin’s opening ” a statement S is a finite sequence of assertions S(1), S(2), … S(n)”. seems to suggest that the sequence itself (provided that S(n) follows from S(n-1) and S(n-k)) might be independent of another examiner.
On the other hand, Euclid seems to be trying to convince the reader (or someone): “I say that …. therefore …”
]]>