You know, I can't totally remember how my first teacher taught it (I was 7), but I do know that a lot of the fingering was outlined by CPE Bach back in the 18th century [1]. Just glancing on the Internet (and quickly playing through my scales just now), it seems like I tend to play them closely to this outline: https://pianoguidelessons.com/fingering-scales-on-the-piano/

But, as my current teacher likes to point out, there's no "true" way. He's a bassist, and has mentioned to me a few times some old survey asking pro players to write out their fingerings for some famous passages -- the results were all over the place, as everyone brings their own approach.

[1] https://archive.org/details/BACHCarlPhilippeEmanuel.EssayOnT...