Many areas of computer science, at least the areas in which Leslie Lamport is best known, is a strongly mathematical discipline inspired by models of computing. Dr. Lamport probably considers himself as a "computer scientist", but I bet it is really far from what many laypeople (even the HN crowd) imagine to be computer scientists.
Another issue is, mathematicians have as much to do with mathematical pedagogy in secondary education as computer scientists have to do with science experiments in high school. Again, the title is really misleading in this regard.
Anyway, I am glad that a great mind like Leslie Lamport and David Mumford (definitely a mathematician) are thinking hard about how to make math education better.