As Jan pointed out, a lot of it deals with finding hints in and around the puzzle. I just wanted to add additional strategies that I see being used in making and solving Steganography puzzles. Otherwise, I think they've touched on a lot of good points.
Look for capitalizations, especially at the beginnings, ends, or in some sort of pattern. These often lead to key words, imgur links and even answers.
Find patterns, or letters hidden among other answers to the puzzle that can lead you to complete solutions.
Sometimes words or important phrases are hidden based off enumerations or sequential order. E.g the 1st line = 1st word/letter. 2nd = 2nds etc etc.
As the steganography tag says, things are supposed to be hidden in things that are not suspicious. So the best ones will be hard to find.
A lot of people who find solutions faster, are those that have been doing this for a while and have a good eye for these things. Sometimes it's simply a matter of practice and knowledge and getting good at spotting what's hidden in the puzzle. Practice makes a Puzzler :)
As a general rule of thumb: Steganography means something is hidden and or weird about the puzzle. It's just a matter of noticing it. Titles can be important, odd characters, grammar and misspellings are also tricky, sometimes they're related, sometimes they're not.
And as a final note, just as Jan said, you learn best (in my opinion and in my experience) by trying them out yourself. Try making a puzzle, start simple, and just hide stuff inside of it. Whether it's a clue, a simple word answer, anything you want. Heck, even try hiding math inside of something since I know you're good at math based puzzles.
Good luck! Hope to see some more stenography puzzles for the FTC!
Edit: I forgot to mention that sometimes people won't include the steganography tag because it makes the puzzle super obvious, and then they add it later on so it can be shown it was meant to be used.