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Wilhelm
  • Member for 4 years, 6 months
  • Last seen more than 3 years ago
  • Germany
Why don’t all professors let students use notes, books, etc. on exams?
4 votes

When you have to solve a problem later, in real life, you will also be allowed to use all available sources of information (even including internet and your coworkers). Therefore it is a good idea to ...

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Communicating to students the meaning of extremely large numbers
1 votes

I use a beautiful little story narrated by Helmut Kracke in order to demonstrate the size of the largest three-digit-number 9^9^9. Wotan, the God of the Teutons, had a very precious ring called ...

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Should we say that fractions "are" or "represent" numbers?
0 votes

The answer to the question depends on the definition of number. If we define that a number is the set of its common representations, then the number 2 is the set {2, II, two, deux, 4/2, 6/3, ...}. ...

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How are geometric proofs related to geometric pictures?
0 votes

For mathematical monologue, dialogue, discourse, in short for communication including proofs ("A proof is any completely convincing argument" [Errett Bishop: "Schizophrenia in contemporary ...

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Why are we so careful in saying that dy/dx is not a fraction?
-1 votes

We are so careful because $dy/dx$ is the limit of a sequence of fractions. This limit is not "the final term" of the sequence and does not entail that all terms of the sequence exist. We should be ...

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Shifting function graphs: writing vertical offset on the y-side?
0 votes

According to my experience concrete examples like the following are best suited to support the understanding. Starting from the axes $y = 0$ and $x = 0$ I have always shown the following, one after ...

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What do you say to students who want to apply Banach-Tarski theorem in practice?
-2 votes

There are many who would say the same as the author of the following paper: "Pitowsky's attempts of hidden variables rather seem to reaffirm the old intuition: "if nontrivial set theory, non-...

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How important is the act of writing his own script for the learning outcome?
1 votes

In the following I will try to answer the question asked in the headline and to provide support that is equally applicable to all three styles distinguished in the question. Based on my own ...

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