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Questions tagged [vocabulary]

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32 votes
9 answers
10k views

Is it harmful to use the word "Cancel"?

Elsewhere, among a group of high school math teachers, I encountered a discussion of the term 'cancel'. Most (>20) people in the discussion had very strong feelings about why the term should be ...
JTP - Apologise to Monica's user avatar
23 votes
2 answers
2k views

Can we avoid confusion over using "let" as a quantifier?

I've encountered the following misunderstanding. I pose a question (to undergraduates in the U.S.), for example: Let $P$ be a polygon of $n$ vertices. Is it true that every triangulation of $P$ has ...
Joseph O'Rourke's user avatar
13 votes
23 answers
24k views

Examples of vocabulary that have different meanings in Mathematics compared to "everyday" English

I am asking this question here to obtain a nice reference list. I am asking for examples of words which have different connotations or meanings in Mathematics compared to English as taught in ...
Papa 's user avatar
  • 141
9 votes
1 answer
474 views

When did the term and taught technique 'cross multiplication' enter into common use?

The title says it all, I suppose. I'm interested to know when/where the term/technique cross multiply came into use. Sources would be nice. In case it's unfamiliar to anyone, or in case the usage of ...
NiloCK's user avatar
  • 5,030
8 votes
1 answer
167 views

How do you encourage students to use verbs other than "solve"?

I see this a lot with students, "solve this derivative", "solve this integral", "solve the following expression". You can compute a derivative, evaluate an integral, simplify an expression, solve an ...
user avatar
7 votes
3 answers
4k views

"Sigma Notation" vs. "Summation Notation"

I was having a discussion with a colleague a few weeks ago, and she opted to use the term "Summation Notation" whereas I had a preference for "Sigma Notation". We didn't have the time to tangentially ...
Andrew Sanfratello's user avatar
7 votes
2 answers
578 views

Phase shift vs. horizontal shift, and frequency vs. angular frequency in sinusoidal functions

TL;DR version: It seems to me that high school curricula no longer distinguish between "horizontal shift" and "phase shift", or between "frequency" and "angular ...
mweiss's user avatar
  • 17.4k
4 votes
3 answers
467 views

About the word "limit" used in calculus

In the introduction of the limits chapter of a scholar book I can read (translated and abstract) the following examples: "the price of a product has a limit value that, from this price, the number of ...
pasaba por aqui's user avatar
3 votes
3 answers
331 views

Word for the dimension of the vector space in which a vector lives?

The following issue comes up whenever I teach linear algebra: I want to have a quick way to say that a vector $(x,y,z)$ is in $\mathbb{R}^3$. I am tempted to say that it has "length $3$". But then ...
David E Speyer's user avatar
-1 votes
1 answer
64 views

Problem solving or question answering

What can be the most appropriate way of asking , Solve the problem or answer the question ? As common usage in examinations we have question papers for all subjects. Therefore like in other subjects ...
Janaka Rodrigo's user avatar