Spirit Academy symbol/badge

The sections represent the elements, and hence the classes you learn from, so if you learn in ice, the section is the blueish one with the snowflake & you learn ice/snow magic. 

Here are the elements from the brown and green element, which is earth.

Ice

Air

Astral/psychic

Fire

Water

and Earth again

Gwess has a grasp on all of them, which is why she is headmistress and also I will be adding an element category to the refs