He wants to find out solutions of many problems, which sometimes are puzzling even to the adults.The problem solving method is one, which involves the use of the process of problem solving or reflective thinking or reasoning.
This booklet is being published on the occasion of this Topic Study Group.
To this end, we have assembled four summaries looking at four distinct, yet inter-related, dimensions of mathematical problem solving.
The students should be able to make generalisations and apply it to their daily life.
Problem solving in mathematics education has been a prominent research field that aims at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving competencies.
According to the legend, he jumped out of the tub and ran from the bathhouse naked screaming, “Eureka, eureka! have the same root in the ancient Greek language and so it has been claimed that this is how the academic discipline of “heuristics” dealing with effective approaches to problem solving (so-called heurisms) was given its name. Its specific goals include highlighting in general terms the reasons for selecting those moments in a problem the examination of which could help us find a solution. 5) This discipline has grown, in part, from examining the approaches to certain problems more in detail and comparing them with each other in order to abstract similarities in approach, or so-called heurisms.
Pólya () have formulated such heurisms for mathematical problem tasks.
Each of these summaries references in some critical and central fashion the works of George Pólya or Alan Schoenfeld. The seminal work of these researchers lie at the roots of mathematical problem solving.
What is interesting, though, is the diverse ways in which each of the four aforementioned contributions draw on, and position, these works so as to fit into the larger scheme of their respective summaries.
And as such, it has been of interest to mathematics education researchers for as long as our field has existed.
More relevant, mathematical problem solving has played a part in every ICME conference, from 1969 until the forthcoming meeting in Hamburg, wherein mathematical problem solving will reside most centrally within the work of Topic Study 19: Problem Solving in Mathematics Education.