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Mar 20, 2013 at 17:26 comment added David Corwin I like your approach to teaching small children, but I think this is also a useful approach when teaching graduate students ;)
Oct 2, 2012 at 21:54 comment added Douglas Zare @Tom Leinster: Kindergarten just started. These kids can be assumed to have learned nothing so far. So, I don't understand your point.
Oct 2, 2012 at 19:23 comment added Tom Leinster Predrag: OK. Since you listed your location as Bagdala, and Bagdala is in Serbia, I assumed that Serbia was your current location. But no big deal, of course. Douglas: I have no thoughts about varying cognitive abilities. It's simply that you made statements about what first-graders would have covered, and that kind of thing varies enormously around the world - different educational systems do things at different paces. (Actually, Predrag didn't say "first-grader", he said "five-year-old". Whether those descriptions coincide is also geography-dependent.)
Oct 2, 2012 at 6:17 comment added Douglas Zare @Bugs Bunny: I seriously think it is reasonable to have children of that age execute a rule like "blue and blue then blue, blue and red then red, red and blue then red, red and red then blue." With a little guidance, that will let them crayon in a few rows of the even-odd pattern of Pascal's triangle. What's crazy about that?
Oct 2, 2012 at 6:09 comment added Douglas Zare @Tom Leinster: I didn't search for anything country-specific. Do you feel typical Serbian 4- and 5-year-olds who just started kindergarten are way ahead of those in other countries, and if so, why? I doubt very much that there is a huge difference in the cognitive abilities of children of that age between developed countries. Maybe there would be some extra difficulties for those using languages without alphabets, but that's not relevant.
Oct 2, 2012 at 1:54 comment added Predrag Punosevac @Tom Leinster Bagdala is a neighborhood of my home town Krusevac in Serbia. I moved out of that neighborhood 23 years today but it is still where my childhood dreams live. As of me, I have been leaving in U.S. for the past 17 years (I am even listed as U.S. mathematician on math genealogy). A quick search will show that I am a faculty at Augusta State University in GA with a house in South Carolina.
Oct 1, 2012 at 19:14 comment added Tom Leinster @Douglas: were you searching for what's covered in first grade in Serbia? Predrag lists his location as Bagdala. (The cynical thought crossed my mind that you might have assumed he lived in the same country as you.)
Oct 1, 2012 at 16:29 comment added Bugs Bunny Are you for real about Sierpinski Carpet and Pascal Triangle mod 2??? You may show them some Jackson Pollock painting and Wilson loops as well!
Oct 1, 2012 at 8:30 comment added Vectornaut I was going to write an answer, but this one already says the two things I think are most important: (1) make everything as hands-on as possible, and (2) avoid logical reasoning. It seems to me that making things and playing with things---especially noisy, colorful, fun-to-handle things---provides lots of direct, external sensory stimulation, while thinking about things and understanding things provides mostly internal stimulation. I get the impression (both from my limited experience working with kids and my long experience being a kid) that young children far prefer the former.
Oct 1, 2012 at 7:30 history made wiki Post Made Community Wiki by S. Carnahan
Oct 1, 2012 at 2:43 comment added Douglas Zare Quick web searches show "even and odd" numbers are covered in first grade, which suggests that many first graders won't know them at this time of the year. This doesn't mean you can't have kindergarten students create Sierpinski's triangle, just don't rely on them knowing what even and odd mean. Here is an example of a list of concepts for kindergarten students: homeschoolmath.net/teaching/kindergarten.php
Oct 1, 2012 at 2:12 history answered Dustin Clausen CC BY-SA 3.0