krantz
What would Jason Lezak do?
I've been reading Steven Krantz's book How to Teach Mathematics lately, looking for some words of wisdom. One item has resurfaced during these Olympics.
All learning of significant knowledge requires considerable effort on the part of the learner. This fact has not changed since Euclid told Ptolemy (over 2000 years ago) that "There is no royal road to geometry."...
Go to any athletic facility and you will see young people spending hours perfecting their free throw or their skate board technique or their butterfly stroke. They don't hire tutors to achieve these goals...An eighteen-year-old understands clearly when an athletic coach says, "No pain, no gain." However, the same concept makes little sense to him in the context of mathematics or another deep academic subject.
