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
...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.
...which reminds solvers of the mischief revealed in Double Integrity.
Recommendation from John Swanson: Graph of x / (x-1) in blue and 1 / (x-1) in red...