1. JSS Mahavidyapeeta
Mysore -570004
JSS Institute of Education
Sakaleshpura-573134
Topic:problem solving process
in learning mathematics.
Krupanidhi AK
U01HY21E0028
2. Introduction
Problem solving in mathematics education has a
prominent research field that aims at
understanding and relating the process involved in
solving problems to students developedment of
mathematics knowledge and problem solving
competencies.
Problem solving place an important role in
mathematics and should have prominent role in
mathematics education for students .
3. problem solving stages in
polyas method
There are mainly 4 stages in problem
solving
1. Understanding the problem
2. Deriving a plan
3. Carrying out the plan
4. Looking back
4. 1. Understanding the problem
Sometimes the problem lies in understanding the problem. If You
are unclear to what needs to be solved then you are probably
going to get the wrong results. In order to show an understanding
of you of course you need to read the problem carefully .sound
simple but some people jump and try to start problem before
they read problem.Once problem is read you need to list all the
components and data that are involved.
5. 2. Divise a plan
Here setting up an equation ,drawing a
diagram and making a chart are all ways that
you can go about solving your problem.
Example:Algebraic expression.
6. 3. Carry out the plan
There is where you solve the equation you
came up with in your device a plan step the
equation in this tutorial will be Linear
Equations.
7. 4. Looking back (check and
interpret)
You may be familiar with the expression
don't look back. In problem it is good to look
back basically check to see if you use it all
even information that the answer make
sense.
8. Example
The sum of three consecutive integer is 258 find
the integers.
Step 1 :make sure that you read the questions
carefully that three consecutive integers will be
X =first consecutive integers
X + 1=second consecutive integers
X + 2 =third consecutive integers.
9. Step 2: device a plan
The sum of three consecutive integers is 258
X + (X + 1 )+ (X + 2) = 258
Step 3: carry out the plan
X + X + 1 + X + 2 = 258
3X + 3 = 258
3x + 3 - 3 = 258 - 3
3x = 255
X = 85 ,x + 1 = 85 + 1 =86, X + 2 = 87
10. Step 4: look back
The sum of 85,86, 87 is 258
3 consecutive integers are 85,86 ,87
11. Characteristic of a good
problem
• Rich in meaning to learner
• Interesting and exciting to the learner.
• Challenging but within the capacity of
the learner.
• Related to the objectives and purpose of
teaching.
12. Conclusion
Problem solving is a suitable approach in teaching of
mathematics. It develops the learners the ability to
recognise analysis solve and reflect upon the problematic
difficulties.
A true problem solving process will allow students to be
flexible in initiative and creativative. The students should
be allowed to more from on step to another through many
alternatives and strategies.