Academy isn't about learning new facts or filling your head with new thoughts. It's about learning how to think in the first place.
The only question is what to do with the vapid, hallow shell that remains. Of course I would prefer to replace it with an active and joyful engagement with software ideas.
Mathematics is the music of reason.
How do we teach our students to do mathematics?
By having an honest intellectual relationship with our students and our subject.
Teaching is not about information. It's about having an honest intellectual relationship with your students. It requires no method, no tools, and no training. Just the ability to be real. And if you can't be real, then you have no right to inflict yourself upon innocent children.
Teaching means openness and honesty, an ability to share excitement, and a love of learning.
While I agree that one goal of education is to make sure students acquire useful skills, certainly another goal is to arouse students’ wonder and curiosity.
A teacher’s job is to help them overcome their fears of failure and explore the problem for real learning.