Polya's Four Steps in Problem
Solving
George Polya (1887-1985) was a Mathematics educator who strongly believed that the
skill of problem-solving can be taught. He developed a framework known as Polya's
Four Steps in Problem Solving. This process addresses the difficulty of students in
problem-solving. He firmly believed that the most efficient way of learning mathematical
concepts is through problem-solving. Students and teachers become better problem
solvers.
The diagram below shows the four-step process that forms the basis of any serious
attempt at problem-solving.
Sample Problem 1
Two times the sum of a number and 3 is equal to thrice the number plus 4. Find the
number.
Solution:
Step 1: Understand the Problem
We need to make sure that we have read the question carefully several times.
Let x - be the unknown number
Step 2: Make a Plan
Solving
George Polya (1887-1985) was a Mathematics educator who strongly believed that the
skill of problem-solving can be taught. He developed a framework known as Polya's
Four Steps in Problem Solving. This process addresses the difficulty of students in
problem-solving. He firmly believed that the most efficient way of learning mathematical
concepts is through problem-solving. Students and teachers become better problem
solvers.
The diagram below shows the four-step process that forms the basis of any serious
attempt at problem-solving.
Sample Problem 1
Two times the sum of a number and 3 is equal to thrice the number plus 4. Find the
number.
Solution:
Step 1: Understand the Problem
We need to make sure that we have read the question carefully several times.
Let x - be the unknown number
Step 2: Make a Plan