MMW 2-1 Flashcards
search conciously for some action to attain some clearly conceived but not immediately attainable aim/goal
to have a PROBLEM
a situation in which a person wants something but does not know immediately what series of actuons can be performed to get it
problem
defined as a problem because it causes difficulty in attaining solution
Mathematical Problem
if the situation or procedure is obvious it is no longer a problem but an ___
Exercise
a statement/ situation where there is an obstacle between what we have and what we want
Problem
ability to make decisions, views, formulate, model & investigate situations ti communicate effectively
Problem Solving
ability to solve/eliminate obstacle so we can get what we want
Problem Solving
stresses the use of known/prescribed procedures(algorithms) to solve problems
Routine Problem Solving
paper-pencil experiments are quickly tested
Routine Problem Solving
stressed the use of heuristic and it requires little to no use of algorithms
Non-Routine Problem Solving
procedure that do not guarantee solution
Heuristic
provide a more highly probable method for discovering a solution
Heuristic
building a model and drawing a picture of a problem
Two basic problem solving heuristic
describing the problem situation
Other Heuristic (ways/types)
classifying information
Other Heuristic
finding irrelevant information
other heuristic
problems have fixed and knowl goal and elements are known to use in resolving the problem
Static Non- Routine Problem
have a fixed goal with changing element
Active Non- Routine Problem
have a fixed element with changing goal
Active Non- Routine Problem
have a changing goal with changing element
Active Non- Routine Problem
heuristics used in this form(Non-Routine) of problem solving are known as ____
Strategies
Mathematics is not just about numbers; much if it is problem solving &reasoning
reasoning
Problem Solving and Reasoning are ____
Inseparable
skill needed in exemplifying the critical thinking and prblem solving ability
Art of Reasoning
useful tools in decision making
Logic and Reasoning
people do ______ to show that certain conjectures are true as these follows the rule of logic
deductive reasoning
conclusion formed as a result of inductive reasoning which may/may not be true
Conjecture/ Hypothesis
a statement is a true statement provided it is true in all cases but if you can find one case in which statement is not true(counterexample) the it is a false statement
Counterexamples