Anschewski
  • Member for 7 years, 10 months
  • Last seen more than 1 year ago
  • Hanover, Germany
Why does the widespread erroneous definition of "irrational number" persist without being taught?
3 votes

Many good arguments have been presented. I would like to add that working with the decimal expansion does require much less understanding of what a real number is. The decimal expansion gives you ...

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Exam philosophy
3 votes

There will be definitely some material on assessment in school. Since my research focus is on tertiary education, I present some resources from calculus and post-calculus: Abramovitz, B., Berezina, M....

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Any support for mathematical "learning types?"
3 votes

I've discussed this several times with other education researchers and it does not seem easy. A learning style (or maybe thinking style) should scarcely depend on the knowledge someone has or ...

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What fraction of the population is incapable of learning algebra?
2 votes

Your question will not have a research-based answer. You assume that there is a determinable "fraction of the population" that "is incapable of learning algebra, even with repeated effort and ...

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Soft questions for 8 - 12 year olds
2 votes

Whenever I want to fill time with kids, simple reverse-problems come to my mind. Imagine a number, say 5. Which computation might lead to "5"? One might start with 2+3. That's right, let's see if they ...

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Is $a^0 = 1$ for a nonzero, real number $a$, a theorem or an axiom?
2 votes

To me it is clearly a definition. Maybe, in addition to Behzad's post have one more idea: What if $a=0$? Then $a^n=0$ for positive values of $n$. So $3^0, 2^0, 1^0$ all equal $1$ wheras $0^3, 0^2, 0^1$...

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How to effectively run large exercise groups?
2 votes

Maybe you should try to add clicker on your list. They work like in any tv-show. The tutor asks a question and the audience may individually choose out of four (or any number of) answers. Technically, ...

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Teaching Models for Mathematics (like 5 E's in Science)
-1 votes

Do you mean something like this: The source is provided in the picture and there is a vast body of literature on modelling. You might want to specifiy your question: Which institution / age? Is your ...

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