Puzzles, & Answers
UNDER CONSTRUCTION . . . BY YOU AND BY US WORKING TOGETHER.
This site is intended to
be always under construction...awaiting your input.
You are invited to join
in the construction by furnishing your own questions, puzzles, and answers.
Perhaps set up rooms of an "Adventure Cave" on your own Web site to link
into a larger system.
We want to discuss the answers
(yes, answers are hidden around here somewhere) and, especially, how to
present them. Several of the puzzles on the "Eureka" page are well-known
to cognitive psychologists: the colored figure and four-card selection
problems were the subject of a book by Percy C. Wason of Cambridge Univ.
The buzz-saw, checkerboard, and five-card selection puzzles were in Martin
Gardner's "Mathematical Games" feature in Scientific American.
Gardner's five-card selection is a diabolical twist on the Wason version.
The bouncing ball and kayak puzzles come from my own physics exams and
are remarkable as extreme examples of "simple but difficult." The
negation of negation question reveals one remarkable, observable difference
between people in human thought processes.
Recent research into the
unusual difficulty most people find in learning science and math suggests
that useful learning requires unusual effort. Problem solving, dissonance
resolving, real-life difficulties that strain the intellect...do-it-yourself
thinking. That's what it takes. Understanding doesn't often
happen when "The Answer" is taught and learned.
All the pages here are steering
toward puzzles, dissonances, differences of opinion (controversy), mysteries,
etc. (Stereopsis is hidden on this site, e.g. Did you find it?)
We aim at seeking examples and exemplars, models and metaphors. And
we always need more. So while we have taken most of the lines of
thought presented here further, we want to know what you think is needed.
What might work? What seem to be useful answers to the puzzles posed?
How can we tie into other
Web sites? How can we construct "Adventure Caves" like those of the
early days of home computers? These are grand, many-faceted
puzzles, the goal of which is simply to extend one's knowledge, to find
as many "secrets" as possible.
Please be in touch.