You're both right!!
In my opinion, you're both correct. There is a "classical" or "traditional" method for playing scales. This method has worked well for beginners through experts -- likely for 100s (?) of years. OTOH, nobody's going to try to play a B3 in such a structured (B-O-R-I-N-G!!!) manner.
If you really want to learn to play, go to your local music store and pick up a few beginner's books -- You'll find plenty of scale exercises therin. If you're just messing around, feel free to go with whatever works (after all, Keith Emerson uses a machete!)
Good luck,
Tom