Problem+Solving+Strategies

Problem Solving Problem solving is part of the Mathematical Processes Strand of the New Zealand Mathematics Curriculum. We believe that by solving problems students get a much better feel for what mathematics is all about, what it can do and how it does it. In this web-site every time we use the term ‘problem solving’ we mean mathematical problem solving. And mathematical problem solving is about finding solutions and not just answers to mathematical problems. We say that We believe that there are four steps that you need to go through in solving most mathematical problems. These are: Of course, as we point out, problem solving can be more complicated than this.
 * method + answer = solution**.
 * 1) Understand and explore the problem;
 * 2) Find a strategy;
 * 3) Use the strategy to solve the problem;
 * 4) Look back and reflect on the solution.

Problem Solving Strategies
The selection and use of strategies is a part of the process of problem solving. An understanding of specific problem solving strategies helps make problems clearer, simpler and more manageable. It also helps students develop better problem solving skills. In this web-site you will find problems for the following problem solving strategies: Of course, you also need to use other problem solving skills as you solve problems. We consider being systematic, keeping track, looking for patterns and working backwards. ([|More Information])
 * Guess (this includes guess and check, guess and improve);
 * Act it Out (this includes using equipment);
 * Draw (this includes drawing pictures and diagrams)
 * Make a List (this includes making a table)
 * Think (this includes using skills you already know)

Aside from the obvious reason of teaching problem solving because it is a part of the curriculum, there are many benefits. These include:
 * It bases students’ mathematical development on their current knowledge;
 * It is an interesting and enjoyable way to learn mathematics;
 * It is a way to learn new mathematics with greater understanding;
 * It produces positive attitudes towards mathematics;
 * It makes the student a junior mathematician;
 * It teaches thinking, flexibility and creativity;
 * It encourages co-operative skills;
 * It is a useful way to practice mathematical skills learned by other means;
 * It is similar to the approach used in other curriculum activities.

http://nzmaths.co.nz/problem-solving-information