When talking with other people about your mom or dad do you just say "mom" or "dad" or do you say "my mom," or "my dad" As in "I went shopping with my mom today, " vs "I went shopping with mom today."
The only time I don't use "my" is when I'm talking with my brothers. In conversation it just sounds off somehow. I mean, if you placed your mom with your brother you wouldn't say just "brother."
Since having children of my own I refer to them as my parents.
It depends on context. When one refers to "Mom" as in, "I went shopping today with Mom," the word 'mom' functions as an individual's name and, therefore, should be capitalized. If, however, you are speaking to a non-sibling about their mother, for instance, you would not refer to that person as "Mom" as in, "So you went shopping today with Mom." However, if the non-sibling did indeed go shopping with your mother, you could still say "So you went shopping today with Mom," and it would make sense.
The non-capitalized version of the word 'mom' such as, "I spoke with my mom this morning about your mom," is used in the possessive, and is not capitalized.
So you can call your own mother by her motherly name, "Mom," but in general you usually cannot refer to someone else's mother by her motherly name. It is not improper to refer to one's own mother in the possessive sense, as in "my mom" but you would not speak to your own mother that way. You would call her "Mom," and in general you can use that term when speaking about her so long as you remember that it is functionally her name when used in that way.
The same rules apply to the word 'dad'.
Oh, and incidentally, the same rules may also apply to the words 'mother' and 'father' although those terms are less commonly used as names.
Why aren't you at least a level 9 by now?