

most influential book in
the thoughtlife of your puzzlemaster is a small
volume entitled How to
Solve It by Hungarian mathematician George
Pólya. The
work is framed on four principles… 1.
Understand the problem (puzzle). 2.
Devise a plan. 3.
Carry out the plan. 4.
Review / Extend. The most important – and creative! –
is signified by the word “Extend,” which I have
colloquialized for my students: “Here is a solution
to a problem what other problems can I now solve.” That will
be seen as the heuristic
concept selected for emphasis in Discovering
Assumptions.
...which produces an infinite number of solutions as shown in this graph... We will also review our generalized solution by substituting X = 15, et voilà: Y = 49. Bonus Puzzle
...which reminds solvers of the mischief revealed in Double Integrity. Epilog
Recommendation
from John
Swanson: Graph of x /
(x1) in blue
and 1 /
(x1) in
red...




