Using "brackets" for parentheses certainly sounds odd to me even though I never learned "PEMDAS."
() are brackets
[] are square brackets
{} are curly brackets
<> are angle brackets
in school I don't think I ever heard the word "parentheses" used to refer to (), or at all for that matter.
I personally call ( ) "round brackets" to try and be a bit more explicit about which kind of bracket I mean, but I don't think that's a very common turn of phrase. Similarly I've picked up calling { } "brace brackets" from programming.
In programming circles I've come to expect: () parens, [] brackets, {} braces. Probably easier if we all try to stick to that.
Only in maths or ever?
(Brackets), [square brackets], {curly brackets or braces} and <angle brackets> are the terms used in all fields, maths and normal life included.
For my own part, I don't remember any fancy acronyms being rolled out to help us remember this stuff when I were a lad. Kids today grumble grumble etc.
() are brackets [] are square brackets and {} are curly brackets.
certainly if you're from the UK and in maths class grew up being told about: BODMAS - Brackets, Orders Division, Multiplication, Addition Subtraction
I believe PEMDAS is more common in the USA