Just thinking about this makes my spine straighten and my fingers "get ready" to go to the home row :p
We must have used the same application at my school. Though I think I eventually got to 75wpm with no mistakes (or whatever was allowed by the program--three mistakes a minute sticks in my mind but who can remember). It served me well. I live-LaTeXed my lecture notes and homework in college.
I unlearned the habit of backspacing to my mistake, correcting, and retyping. That has served me well.
I wish we had spent more time on accurately typing \ | ( ) , [ ] { } etc.† It would help me now as I still make simple mistakes with that. On the other hand, it only would've been useful to a handful of us.
† In fact, thinking about this brought up the very nostalgic memory of buying C++ for Dummies and the first program listing in it having a vertical pipe character. I had never seen it, and thought it was an ell at first. Well, that didn't compile, so maybe it was a 1? I didn't know! And the listing in the book had an unbroken pipe but my keyboard had a split one, so I couldn't tell these were the same character.
Eventually, I hit every key on the keyboard and then went back through them pressing shift until I found the right character! That was a feeling of enlightenment!