Are there specific magic spells to learn?
All magic is based on Fronima, it can be accessed in many ways. Some use words (Sorcery), others just need a thought (Kinesis) or a glance to push it into what they want.
Each character has the ability to have their own set of words that they've assigned to spells. The same words traditionally could be the same for family lines. This makes elemental magic and all things related to it a tough subject to teach.