“Parents [tango teachers] try too hard to fix things.” “Let me make a mistake once.” “I’m just warming up. Give me a chance to discover what I’m meant to do.” –From the book Voice Lessons for Parents: What to Say, How to Say it, and When to Listen by Wendy Mogel, PhD.
I see it as the difference between a hierarchical superior/inferior, controlling/controlled, parent/child, teacher/student relationship versus a collaborative Guide/Explorer relationship. The guide knows the territory really well, and can also show you good examples of how they do things. They can answer questions, or show real expertise when they give you ways to discover your answer.
The guide works alongside the explorer.
To put it in a way closer to home, we want a student-teacher relationship like a good follower-leader dance partnership. The leader marks the territory, and the follower explores what is there.