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I've had one math class that intertwined short exercise sessions with short lecture sessions and it was the most amazing class I ever had. I still remember everything I learned there.

It was so interesting that the professor would do theorems walkthrough classes which were optional and everyone would attend them.

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That sounds fascinating to me - is there any way you could elaborate a bit on the specifics of a typical class structure (how many/how long, were exercises limited to the subject at hand or more integrated with other topics, etc)? I'm trying to raise my own teaching game and that sounds like something I should try.

It was a math analysis class 101 (on limits). The professor would print a one-page summary of the class, hand it to us and go through it. After an hour of class we would do exercises for one hour perhaps, and then get back into the sheet he had handed over us.

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