Some Suggestions for A Good Learning Experience:
-- Uri Leron of Technion
- People learn best by doing and then reflecting on what they did.
This is not a new observation, but can be found in the works of
Papert, Piaget, Dewey, Montessori, and countless others. Notice
that this is a two-fold statement. Doing is important, but the
following reflection is critical. Reflecting is important, but
having a basis of experience upon which to reflect is critical
- Activities over Explanations. When preparing to teaching some
non-trivial piece of mathematics, it is more important for
mathematics teachers to think up some good activities rather
than just good explanations.
- The Principle of Effective Minimal Help. A good rule of thumb
when interacting with students as they have questions is that
most of the talking should be done by the student and not by
- The Principle of Successive Refinements. Complex concepts are
not learned in one shot, but rather are learned through a sequence
of successive refinements.
- Computer programming activities which treat functions as first
class data types can help students construct appropriate
understandings of advanced mathematical concepts.
- Reflection is an ultra important part of both learning and
knowing, and is significantly enhanced in a social context.