This talk is a chance to think about my own experience teaching mathematics at MIT (for 50 years). My classes seem to be popular (I think) because the goal is to teach what students can remember and use. The video lectures on MIT's open website ocw.mit.edu show the linear algebra classes as they are. We will look briefly to see how to improve them ! A mixture of seriousness and humanity seems to be important.

These are golden years for mathematics and crucial years for education -- I hope for discussion with the audience about where we are going.