Polya’s first and second principle:-mathematical problem, Mathematics

Assignment Help:

Mathematical Problem Solving

In 1945, mathematician George Polya (1887-1985) published a book titled How To Solve It in which he demonstrated his approach to solving problems. Here are his principles of problem solving:

Polya’s First Principle: Understand the Problem

To solve a problem, you have to understand the problem.

Do you understand all the words used in stating the problem?
What is the problem looking for?
What data or information has been provided in the problem?
Are there any special conditions mentioned in the problem that we need to consider in the solution?
Can you restate the problem in your own words?
Can you draw a picture or make a diagram that could help you solve the problem?
Is there enough information in the problem to help you find a solution?

Polya’s Second Principle: Devise A Plan

There are many different ways to solve a problem.  The way you choose is based upon your own creativity, level of knowledge, and skills. Basically, solving the problem involves finding the connections that exist between the data you’ve been provided and the unknown you need to find.Here is the assignment:

Think of a problem that involved several steps that you had to follow to reach a solution.  If you can’t think of a problem, look at any of the problems in Chapter 1 in the book and pick one that you can explore here.Prepare a 200-300 word multiple paragraph response defining the problem and the steps need to reach a solution.


Related Discussions:- Polya’s first and second principle:-mathematical problem

Discrete math, ) Show that the following argument is valid: (~p ? q) =>...

) Show that the following argument is valid: (~p ? q) => r s ? ~q ~t p => t (~p ? r) => ~s ------------------------ ? ~q 2) Show that the following argum

Find the value of x of eagle , A fox and an eagle lived at the top of a cli...

A fox and an eagle lived at the top of a cliff of height 6m, whose base was at a distance of 10m from a point A on the ground. The fox descends the cliff and went straight to the p

The ratio of boys to girls at the dance was 3:4, The ratio of boys to girls...

The ratio of boys to girls at the dance was 3:4. There were 60 girls at the dance. How many boys were at the dance? Use a proportion comparing boys to girls at the dance. Boys/

Find the probability density function, 1. The lifetime T (in days) of an el...

1. The lifetime T (in days) of an electrical component has reliability function given by: R(t) = e -0.01t for time t > 0. An electrical system consists of four such components. Th

Find regular grammar for given regular expression, find regular grammar for...

find regular grammar for the following regular expression: a(a+b)*(ab* +ba*)b

Logarithmic function:solve for x: 4 log x2, Solve for x: 4 log x = log (15 ...

Solve for x: 4 log x = log (15 x 2 + 16) Solution:              x 4 - 15 x 2 - 16 = 0                (x 2 + 1)(x 2 - 16) = 0                x = ± 4   But log x is

Find the third vertex of equilateral triangle, If two vertices of an equila...

If two vertices of an equilateral triangle are (0, 0) and (3, 0), find the third vertex. [Ans: 3/2 , 3/√ 3/2  or 3/2, -3√ 3/2] Ans:    OA = OB = AB OA 2 = OB 2 = AB 2

Circle, a wheel revolves 360 deegre revolution in one minute .Find how many...

a wheel revolves 360 deegre revolution in one minute .Find how many radians will the wheel subtend in one second

Amy purchased 6 books how much did the books cost altogether, Amy purchased...

Amy purchased 6 books at $4.79 each. How much did the books cost altogether? Multiply 6 by $4.79; 6 × $4.79 = $28.74.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd