### Introduction

**There are lots of contributions by great Mathematicians in the field of science and technology that had changed the lives immensely. Among other mathematicians, George Polya was not a typical mathematician but he is known for his work ‘how to solve a mathematical problem’ amusingly. In 1945, he published the 4-steps for solving problems systematically which quickly become his most prized publication. Today in the 21st century, many research scholars are using his model to support their research publications. **

**George Polya identifies four basic principles of problem solving are listed below:**

**Step 1: Understand the problem****Step 2: Devise a plan (translate)****Step 3: Carry out the plan****Step 4: Look back**

### Example: 01 Six is added to four times a number, the result comes 50. What is the number?

**Let’s apply Polya’s model in mathematical problem**:

### Step 1: Understand the problem

**Make sure that you read the question carefully several times. Think questions, what is missing? What variable represent? Assign variable.**

**Since we are looking for a number, we suppose as**

**Let n = a number**

### Step 2: Devise a plan (translate)

**Since ‘n’ represents the number, four times the number would be 4n and 6 added to that result comes 50.**

** 6 + 4n = 50**

**Standard form**

**4n + 6 = 50**

### Step 3: Carry out the plan (solve it)

**6 + 4n = 50**

** 4n = 44**

** n = 11 Answer**

**n = 11 which is the required number**

### Step 4: Look back (check and interpret)

**At last review the process and check the results**

**Put ‘11’ in standard equation**

**6 + 4(11)**

**= 6 + 44 = 50**

**50 = 50**

**It is now verified that problem is solved correctly.**

### Solving word problem

**Word problems are thought to the toughest to solve but are not actually difficult****Word problem is half done if you understand the problem****Better vocabulary is beneficial to understand mathematical terminologies**

### Steps to solve a word problem

**Read the problem carefully and figure out what it is asking you to find****Assign a variable to the quantity you are trying to find****Write down what the variable represents****Write an equation for the quantities given in the problem****Make in standard form****Solve the equation****Answer the question****Check/verify the solution**

**“My method to overcome a difficulty is to go round it” George Polya. **

I do George Polya’s Problem-solving at school and I find some really hard and some ok so I came here for help and I know the 4 steps of Problem-Solving by heart.

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