Write down some problems that are related to this problem, and some extensions.
George Polya's book provides clear guidelines on how to solve problems. When a student gets stuck, I ask them to look at the diagram.
When a problem comes along, unfortunately our students are often more inclined to ‘skip it’ than to ‘whip it’!
In AMSI Schools’ consulting work in schools across Australia, the issue of helping students cope with maths problem solving raises itself as one of two most ‘frequently asked questions’ .
Brown and Walter in the book The Art of Problem Posing described five levels of problem posing.
George Polya Problem Solving Strategies 8 Page Research Paper
Why is it that so many students – and often we, as their teachers – struggle with the learning and teaching of mathematical problem solving?She taught seventh and eighth grade math for 10 years and currently teaches college-level math.PROBLEM SOLVING STRATEGIES Download: Teaching Problem Solving Strategies A 16-page document that has an explanation of George Polya's 4-step method.At a purely pragmatic level, the answer to this question might be ‘because it’s part of the curriculum’.It is a reality that the Australian Curriculum in Mathematics, and consequently, the state developed syllabi that flow from this, enshrine ‘problem-solving’ as a key mathematical proficiency  to be taught across all strands and content areas. Checking and Looking Back Summary here University of Utah I've used the diagram below to help students when working on investigational problems (diagram is stuck in the back of each students book).wiki How is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. Problem solving and posing is an educational theory that demands thinking process, data analysis, evaluation, and reflection.To create this article, 11 people, some anonymous, worked to edit and improve it over time. Problem solving process consists of several steps which was first outlined by George Polya in 1945.Problem posing process consist of several phases: initial posing, problem solving, and additional posing.By ‘real’, Polya did not necessarily mean ‘from the real world’ (although they well may be), but rather questions relating to a subject and which are ‘non-routine’ or new to the student .Later in this series on problem solving, we will look at several different types of mathematical problem solving that students might be asked to work on either in the classroom or in real world, contextual situations.