Problem Solving 101 Flashcards
How should “problems” be viewed?
As exercises
List the three phases of problem solving
Entry, attack, review
What actions are you to take during Entry Phase
Reading the question, write the problem in your own words, make a diagram
What actions can you take during the Attack Phase
Brute force, looking for patterns
What actions are you to take during Review Phase
Check, reflect, extend
Define “Proof”
A “proof” is a demonstration that if some fundamental statements are assumed to be true, then some mathematical statement is necessarily true
Define “Axioms”
“Axioms” are statements that we accept without proof (the fewer the axioms the better)
Define “Definition”
A “definition” is an accurate description of a concept
Define “Theorem”
a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.
Define “Lemma”
a “lemma” is a smaller type of theorem that produces a smaller result and can be a stepping stone for a full “theorem”
Define “Corollaries”
“corollaries” are the results we obtain once a theorem is proven
Define “Conjectures”
“conjectures” are ideas believed to be true but not proven yet
