I really enjoyed reading your post! I totally agree with your point focusing on creating an environment where students are free to explore and interact on their own to learn. I mentioned it in class last week, but in my field that is the only way to learn. At a certain point you max out of what you can learn by lecture and you have to go out in the field to see geologic features. Also, many of the labs include hands on exhibits that are necessary to engage students. I absolutely see your struggle with trying to create that environment in math. I genuinely don’t know the solution, but you have all of the pieces there and are already thinking of how to create a learning environment, so that’s already the right direction to be going!