When do we use a capital for the word math? When do we use Math vs math? Example: Own works well in math class or Own works well in Math class? Owen contributes positively in Math through regular participation? VS. Owen contributes positively in math through regular participation?

5 answers

You would use Math if that word, spelled exactly like that, is part of a course's title -- Math IV, for example, or maybe Math for Business.

When you're referring to math/mathematics in general terms, not as a title of a course, you use lower-case m.
Usually, school subjects are not capitalized: math, geography, history, but French, English.

We capitalize Algebra I, Economics 101, and the School of Music.

http://www.btb.termiumplus.gc.ca/tpv2guides/guides/wrtps/index-eng.html?lang=eng&lettr=indx_catlog_c&page=9x1CsvEwOjcI.html
Thank you :)
You're welcome.
http://grammar.ccc.commnet.edu/grammar/capitals.htm

Find "Proper Nouns" on this webpage, and then look at the bottom of that whole category. The differences are spelled out for you.