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Timeline for Proof that $e$ is finite

Current License: CC BY-SA 4.0

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Aug 4 at 14:59 comment added Dave L Renfro but it wasn't until our 12th grade "advanced math" class (I was placed in to audit 2nd half of 9th grade; took it 10th grade, but already knew everything, having gone through the book myself in 9th grade; FYI, no one previously in my school's history had taken it before 11th grade) that any true graphing took place, and it went all the way from graphing parabolas to other conic sections (but only those "vertically oriented") and exponential/logarithmic functions and trig functions.
Aug 4 at 14:57 comment added Dave L Renfro First calculator was SR-50 obtained in late 1974 or early 1975 (10th grade), one of only 4 or 5 students in my high school at the time who had a calculator of any kind (and only person with one this advanced); next year maybe 10% had a calculator, and the year after that maybe 25% had a calculator. We saw graphs of lines in Algebra 1 (9th grade), and quadratic graphs possibly seen in Algebra 2 (11th grade), (continued)
Aug 4 at 14:50 comment added Dave L Renfro @fedja: I wasn't thinking of something like Desmos, but rather simply the idea of graphing a function (even simple algebraic formulas). I'm not sure when I first learned about $xy$-coordinates. Maybe 5th grade (age 11), but in a school math class not until 7th grade (age 13) and possibly not even until 8th grade, and then (in class, not what I knew) it would have only been graphing points, as I did not see any algebra in a school math class until 9th grade (algebra 1 -- went up to simple factorable quadratic equations; maybe quadratic formula stated, I don't remember). (continued)
Aug 4 at 10:07 comment added fedja @DaveLRenfro I was luckier: I (or, rather, my parents) discovered "low-math literature" when I was 6 or so, so by the age of 9, the elementary algebra wasn't a problem for me. But I haven't seen a calculator until I was 15 and that one had only 4 arithmetic operations, so I'm not sure how I would be supposed to "graph both functions using a tool like Desmos" at the age of 9 either. :lol:
Aug 3 at 19:02 comment added Dave L Renfro I don't know what sort of 9 year olds the OP deals with, but when I was 9 years old (3rd grade in USA) I had no conception of graphs (of anything) or of exponents (even small positive integer exponents). In school I think we were pretty much up to 2-digit integers multiplied by 2-digit integers, and maybe beginning long division (probably single digit into 2-digit and 3-digit integers). And this was before I had learned to read very well, so "mathematics" books (here I mean arithmetic books and low-math science-type teen literature) in school libraries were not yet something I had discovered.
Aug 3 at 15:31 history answered Andrew CC BY-SA 4.0