http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/ Just another WordPress.com weblog Mon, 09 Nov 2009 11:27:35 +0000 http://wordpress.com/ hourly 1 http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/#comment-1041 Infinite spaces; infinitesimal probabilities « Ramblings of a Math Mom Wed, 12 Mar 2008 06:00:52 +0000 http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/#comment-1041 [...] even integers is equal to the cardinality of all the integers. (For more on this, check the links here.) Yet, intuitively we know that the answer must be 1/2. There’s a fascinating discussion of [...] [...] even integers is equal to the cardinality of all the integers. (For more on this, check the links here.) Yet, intuitively we know that the answer must be 1/2. There’s a fascinating discussion of [...]

]]> http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/#comment-806 mathmom Thu, 03 Jan 2008 15:22:07 +0000 http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/#comment-806 I kind of disagree with that, Math. I think a lot of gifted kids, at least, have a pretty good understanding of infinity well before 15 years of age. It <i>is</i> a very abstract concept, but some kids are ready to handle it. I kind of disagree with that, Math. I think a lot of gifted kids, at least, have a pretty good understanding of infinity well before 15 years of age. It is a very abstract concept, but some kids are ready to handle it.

]]> http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/#comment-805 Math Thu, 03 Jan 2008 10:39:32 +0000 http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/#comment-805 I think it is difficult for children to understand what is infinity. They have to be at least 15-16 years old. I think it is difficult for children to understand what is infinity. They have to be at least 15-16 years old.

]]> http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/#comment-184 mathmom Sun, 16 Sep 2007 21:17:13 +0000 http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/#comment-184 ah, got it. :) Perhaps this is what musical chairs is supposed to teach little children. ;-) ah, got it. Perhaps this is what musical chairs is supposed to teach little children.

]]> http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/#comment-183 jd2718 Sun, 16 Sep 2007 21:06:40 +0000 http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/#comment-183 Ah, no, not infinite. All I am working towards is the idea that two sets (people and seats) can be shown to have the same size (cardinality) if their members can be placed into 1-1 correspondence. No empty chairs? No people standing? We don't have to count to know that N(people) = N(chairs) Ah, no, not infinite. All I am working towards is the idea that two sets (people and seats) can be shown to have the same size (cardinality) if their members can be placed into 1-1 correspondence. No empty chairs? No people standing? We don’t have to count to know that N(people) = N(chairs)

]]> http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/#comment-178 mathmom Sun, 16 Sep 2007 04:18:41 +0000 http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/#comment-178 An infinite auditorium? Hmm... An infinite auditorium? Hmm…

]]> http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/#comment-177 jd2718 Sun, 16 Sep 2007 04:11:17 +0000 http://mathmomblog.wordpress.com/2007/09/15/grown-ups-and-infinity/#comment-177 I use the auditorium. If everyone is sitting in his/her own seat, no one is standing, no one is empty... I think it is how I was taught... I use the auditorium. If everyone is sitting in his/her own seat, no one is standing, no one is empty… I think it is how I was taught…

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