Examples of children's discussions about Escher Kaleidocycles are utilized to show the importance of connecting mathematics to its sources in sense experience, rather than just teaching the conventions which are meaningless to many students. (IS)

Reviews recent literature concerning subject choice and curriculum planning. Charts a centrist course between classical humanist ideology and radical reform that would place all power in the hands of students. Maintains that young people need a balanced mix of guidance and freedom. (MJP)