Blue Rose is kinda right..... this all stems from the history and earlier editions of SR.
Originally there was just 3 traditions. Mage, shaman, and adept. And they were VERY different.
Mages cast spells through a science/math formulae, could summon any elemental spirit. And generally used or included fetishes and items from 'Western' magic (you know, stage show items, crystal balls, etc)
Shamans followed a more Naturist path, had a Totem Spirit they followed, could summon Spirits (different then elementals.) And generated a Spirit Mask when casting (an overlay of mana of their totem over their face).
Adepts internalized magic, using it to enhance their ohysical selves at the cost of casting spells, or summoning.
Then as the editions changed, and rules where simplified, things changed. But because of the living history of SR...... it gets really murky now.
Now:
Spirits and elementals are the same thing.
The question of Shaman or Mage is no longer one of outlook, but of ability. (Mages use intelligence based stats. Shaman use more intuitive states -cha-int).
-they are basically identical.
Totems, once only available to shamans, are now Mentor Spirits and open to anyone...
And Traditions are more of an 'add-on'...... as you still call yourself a <insert name of tradition here> mage/shaman....
And Adepts.... are still adepts. Execpt when they can cast spells. Then they are mystic adepts (And don't get me started on these cluster fu*ks) Or when they follow a tradition, which is then called a 'Way'....