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

Solve the radical form, Simplify following. Suppose that x, y, & z are posi...

Simplify following. Suppose that x, y, & z are positive.                      √ y 7 Solution In this case the exponent (7) is larger than the index (2) and thus the fir

first person drawn was named the class president, Consider a class of 55 s...

Consider a class of 55 students. The student names are placed in a hat & 3 names are randomly drawn without replacement. a)     If the first person drawn was named the class presi

Complex, find all the 8th roots of (19+7i)

find all the 8th roots of (19+7i)

What kinds classroom activities help children to learn maths, What kinds of...

What kinds of classroom activities can you think of for helping children to make groups of 5 and 10? Once they have enough practice with such activities, children can be helped

Cooking measurement question, Ask question what is half of 1 1/3 liquid mea...

Ask question what is half of 1 1/3 liquid measurements?

The equation of the tangent, Consider the function f(x) = 2x 2 + 1. Find ...

Consider the function f(x) = 2x 2 + 1. Find the equation of the tangent to the graph of f(x) at x = 2. [NOTE: when calculating f'(2), use first principles.

One of these food groups, In a collection of 30 dissimilar birds, 15 eat wo...

In a collection of 30 dissimilar birds, 15 eat worms, 18 eat fruit, and 12 eat seeds. Accurately 8 eat worms and seeds, 8 eat worms and fruit, 7 eat fruit and seeds, and 4 eat each

Scalar multiplication - vector arithmetic, Scalar Multiplication - Vector a...

Scalar Multiplication - Vector arithmetic Another arithmetic operation that we wish to look at is scalar multiplication. Specified the vector a → = (a 1 , a 2 , a 3 ) and any

Describe square roots, Describe Square Roots? When a number is written ...

Describe Square Roots? When a number is written inside a radical sign (√), the number is called the radicand, and we say that you are "taking the square root of" that number.

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