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8 votes

What kind of sequence is between an arithmetic and a geometric sequence?

Since a comment asked for something from practical situations: The runtime complexity of computer algorithms gives a huge variety of sequences with all kinds of growth behaviour - and understanding th …
Jochen Glueck's user avatar
13 votes

Do any middle-school texts indicate that irrationality requires proof?

Here's a quote from the syllabus for the 9th grade in the school type "Gymnasium" in the federal state of Bavaria in Germany: Kompetenzerwartungen und Inhalte Die Schülerinnen und Schüler [...] verst …
Jochen Glueck's user avatar
5 votes

Is there a virtue to learning how to compute by hand?

I agree with many of the other answers, especially with the notion that one should to be able to estimate results of computations, which is essentially impossible without basic computation skills. How …
Jochen Glueck's user avatar