# Questions tagged [terminology]

How words are used in mathematics or mathematics education

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### Name to use for codomain/range/target

There are many questions about how best to teach functions, for example why don't we teach codomains in HS and should we teach them at all. On Math.SX there are questions about the "right" name for ...
3answers
1k views

### Mathematical education slang

Amir Asghari recently asked a question about mathematical slang. He was "looking for "non-mathematical" terms or phrases that are used to refer to mathematical objects (of any kind) mainly for ...
16answers
2k views

1answer
2k views

### Metonymy in mathematics

Metonymy is a figure of speech where a word or another expression is used to mean something other than its literal meaning. This phenomenon is not restricted to the "usual human languages" (such as ...
1answer
717 views

### Where does the word “roots” come from when talking about zeros

We often use the word roots when referring to the solutions of an equation. For instance, when we have a polynomial $P(x)$, we call its zeros the roots of $P(x)$. For some polynomials we can relate ...
2answers
216 views

### Using terminology for the different concepts of rational number

In elementary maths education literature, they distinguish multiple concepts that rational numbers are used to represent: fractions, quotients, ratios, rates, and possibly more. These words seem to be ...
2answers
313 views

### Term and reference for the problem of students “overassociating” concepts with each other

I am writing a paper directed at a physics-education journal and I want to briefly refer to the phenomenon of students “overassociating” (in lack of a better term) mathematical concepts with each ...
3answers
1k views

### “Proof” meaning in maths and society

When we ask students to prove a particular result in a math class, students often reply with examples. For example, if I state: if a number is even its square will be even, and ask the students to ...
3answers
430 views

### Common phrases having different meaning

When talking with students it frequently happens that they misunderstand what you meant. The common example is the amount of rigor that one would consider "a proof", but there are other things, like ...
7answers
1k views

### The word “and” rather than “or”

I asked my students the following question. Q: Express $\cos(\pi+x)$ in terms of $\sin$ and $\cos$. A: $-\cos(x)$. Students: Yeah, but where is the $\sin$ part? If I got this in an exam then I'd ...
5answers
4k views

### What is the proper verb for “doing” an integral?

It's time to write exams, and when writing in committee we often discover differences in usage between various instructors. Here's an example I noticed today. What is the proper verb to use in a ...
11answers
4k views

### Are the words “easy,” “basic,” “clearly,” “obviously,” etc., ever helpful?

This is a very basic fact from... It then clearly follows that... Obviously, we have... The proof is trivial... I could add plenty of other phrases to this list that mathematicians are prone to use ...
1answer
651 views

### Standard word for a formula that is always true

If it is known from context that variables $x$ and $y$ represent integers, an open Boolean formula such as $x \ge y \Rightarrow x+1 > y$ evaluates to true regardless of the value assigned to ...