Another plea and example for how to teach without lecture from David Pangelley, a mathematician. I particularly like:
“Countless times as a lecturer, students had tellingly told me “I understand perfectly when you lecture, but then I can’t do problems at home.” I slowly realized that while a lecture may feel extremely comfortable to teacher and student alike, and sometimes be inspirational, it accomplishes precious little to help students successfully do mathematics themselves.”
and
“While the traditional lecture paradigm could be called “I-You” for “I lecture, then you do homework after class,” what I describe can be labeled “You-You-We-You” for “You read and write, you prepare warm-up problems to bring to class, we master these together in class, and you do final homework after class.””
http://www.ams.org/publications/journals/notices/201708/rnoti-p903.pdf