# Tag Info

### Children's counting problems: Is this question phrased correctly?

I don't think there's anything wrong with the wording; it's clear what is being asked. Your example with the three dollars is also not always the way we speak in everyday language. If you ask someone ...
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Accepted

### What does maths teach you that logic does not?

In the United States, some universities offer "Introduction to Logic" courses. These courses are often offered to undergraduates who are not majoring in mathematics, as a way that the undergraduates ...
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### Is it a good idea to have one or two or three classes on basic logic before teaching $\varepsilon$-$\delta$ in Calculus?

Generally speaking, it would be nice to have a foundations class at the initiation of the Math major. Some of my colleagues envision this course centered around teaching college algebra. Well, to be ...
Accepted

### Teaching logic through "high school algebra"?

Obviously, one place to look is in the huge amount of “new math” curriculum material that was written during the late 1950s to early 1970s, but I’ll leave that for you or someone else to search ...
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### Distinction between problems (such as equations), and universal truths

I am comfortable saying "Solve the equation $x+2$=4" and also saying "Using the equation $(a+b)(a-b)=a^2-b^2$, we see that...". On other other hand I would only ever speak of solving an equation, not ...
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### What is a number?

Whatever teachers may think about the nature of numbers, the foundations of "arithmetic" and the nature and concept of number in particular are very subtle. For a recent and sophisticated look at the ...
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### Can students tell the difference between the "definition if" and the "theorem if"?

iff and if In my experience, students who have a solid grasp of first-order logic have absolutely no problem with the inconsistent use of "if" in definitions. The problem is that most ...
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### Determining sets to show sufficiency of a condition?

First, although you talk a bunch about cardinality, I don't see how that makes sense, so I'm going to assume you mean that you have them determine if the set corresponding to p is a subset of the set ...
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