MATH FINAL LONG QUIZ Flashcards
Two. Ancient mathematicians.
Euclid and Pappus
The study of the methods, and rules of discovery and
invention
HEURISTICS
RENE DESCARTES
1596-1650
Contributed to the field of heuristics
René Descartes
Gottfried Wilhelm Leibnitz
(1646-1716)
ART OF INVENTION
Gottfried Wilhelm Leibnitz
“Nothing is more important than to see the sources of invention which are, in my opinion, more interesting than the inventions themselves.”
GOTTFRIED WILHELM LEIBNITZ
George Polya
(1887-1985).
was born in Hungary and moved to the United States in 1940.
GEORGE POLYA
Polya’s Four-Step Problem-Solving Strategy (UDCR)
- UNDERSTAND THE PROBLEM
- DEVISE A PLAN
- CARRY OUT THE PLAN
- REVIEW THE SOLUTION
This part of Polya’s four step strategy is often overlooked. You must have a clear understanding of the problem.
UNDERSTAND THE PROBLEM
Successful problem solvers use a variety of techniques when they attempt to solve a problem. Here are some frequently-used procedures.
DEVISE A PLAN
Once you have devised a plan, you must carry it out.
CARRY OUT THE PLAN
Once you have found a solution, check the solution.
REVIEW THE SOLUTION
When you are not sure how to start, guess an answer and then check it. In the process of checking a guess, you me see a way of revising your quess to get closer to the answer or to get the exact answer.
GUESS AND CHECK
Some problem describe relationships that involve regular sequence of number or other things. To solve the problem you need to be able
to recognize and describe the pattern that gives the relationship for the numbers or things. One
way to recognize the information given is a make a table.
MAKE A TABLE AND LOOK FOR A PATTERN
Some problems can be solve without the use of numbers. They can be solved by the use of logical reasoning, given some information.
USE OF LOGICAL REASONING
To solve some problems you need to start with the end result and work backward to the beginning
WORKING BACKWARDS
Making an organized list will lead you to work logically and systematically.
MAKE AN ORGANIZED LIST
Algebraic expression are use to represent information and solve problems. We used a variable for the unknown quantity and express the given information in an equation.
WRITE AND SOLVE EQUATION
7 OTHER STRATEGIES GMSUWMW
•Guess & Check
•make a table & look for a pattern
•Solving similar but simple problems
•Use of logical reasoning
•Working backwards
•Make an organized list
write and solve the
Equation
a problem that can be solved, or a question that can be answered, with the tools of mathematics
MATH PROBLEM