Problem Solving In Math With Answers

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The questions are divided into four phases, based loosely on those found in George Pólya's 1945 book "How to Solve It".

Understanding the problem Finally, don't forget that STEP questions are designed to take at least 30-45 minutes to solve, and to start with they will take you longer than that.

As a last resort, read the solution, but not until you have spent a long time just thinking about the problem, making notes, trying things out and looking at resources that can help you.

If you do end up reading the solution, then come back to the same problem a few days or weeks later to have another go at it.

Presenting a problem and developing the skills needed to solve that problem is more motivational than teaching the skills without a context.

Such motivation gives problem solving special value as a vehicle for learning new concepts and skills or the reinforcement of skills already acquired (Stanic and Kilpatrick, 1989, NCTM, 1989).

Yet as I persisted with it for a long time it eventually started to click - ‘it’ referring to being able to solve problems much more easily.

This happens because your brain starts to recognise that problems fall into various categories and you subconsciously remember successes and pitfalls of previous ‘similar’ problems." A Problem-solving Heuristic for STEP Below you will find some questions you can ask yourself while you are solving a problem.

Then, that half could be divided into two and numbers written on each bar to represent the whole.

Groups can be drawn to show 5 groups of 2 and 5 groups of 3 (representing the babies).


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