I remember my dad telling me stories about some of the great wizards in history like Merlin. The stories they always told were about these wizards casting spells or waving their wands and unleashing powerful magic. But that’s not how it works.
There is a relationship between the real world and the magical one. Many spells require the wizard to connect his wand to some aspect of his world. For example, in the Shacael spell, the wizard must first tap a shadow as that is an element of the magic. There are others too.
My dad always taught me that magic was a part of the universe. Like a soul. In order shape it and control it, the wizard must first connect with it. That’s most often through his wand.