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Nov 9, 2022 at 11:26 history edited Martin Sleziak CC BY-SA 4.0
http -> https (the question was bumped anyway)
Mar 28, 2015 at 13:11 history edited Igor Pak CC BY-SA 3.0
reference to an article
Jan 6, 2014 at 19:28 comment added Victor Protsak Also, "half of the time" can be restated in probabilistic terms. In other words, instead of framing it as a real analysis question, appeal to probabilistic intuition. Alexander Woo's remarks about subtle possibilities notwithstanding, vastly larger numbers of students learn elementary probability and statistics than calculus.
Sep 6, 2012 at 4:11 comment added Alexander Woo Yes, there is an option for seniors in a good high school to learn some calculus, but most calculus courses in the United States no longer give a rigourous definition of a limit. Without a rigourous definition, there are some subtle possibilities for what might go wrong that won't be appreciated. (Of course, very few students at that level have the mathematical maturity to understand a rigourous definition well enough to appreciate the subtle possibilities anyway, which is why the rigourous definition isn't taught anymore.)
Jun 23, 2012 at 1:45 history edited Vipul Naik CC BY-SA 3.0
spelling correction for resp.
Jun 22, 2012 at 12:51 comment added Francis Adams Sequences are taught before real analysis, usually in Calc 2 along with infinite series. And the more basic material is suitable for high school, even a decent precalculus class. These are only sequences of reals so it isn't very general, and while they are taught, students might not really "understand" them until later.
Jun 22, 2012 at 12:23 history edited Joël CC BY-SA 3.0
added 27 characters in body
Jun 22, 2012 at 12:21 comment added Joël Ah, that is bad. Isn't there an option for seniors in good high school to learn some calculus ?
Jun 22, 2012 at 4:05 comment added Alexander Woo The notion of limit of a sequence is not usually taught in the US until a real analysis course, which is usually taken only by students in mathematics and frequently not until the third (or even last) year of university. (But I think this case is concrete enough that the necessary ideas here could be explained to a high school student.)
Jun 22, 2012 at 0:46 history answered Joël CC BY-SA 3.0