Problem Solving Resources

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You’ll see links to the American version shown here and the International version.

is a terrific cooperative learning strategy that gets kids talking about math problems but holds them accountable for understanding how to solve each problem.

These resources are designed to help potential university applicants develop their advanced problem-solving skills and prepare for sitting examinations such as STEP.

The material has been carefully selected to provide an accessible and supportive introduction to advanced problem-solving, and to help you build your confidence, fluency and speed.

Many of the items on this page are free and do not come with directions.

For complete problem solving lessons, check out the Daily Math Puzzlers, a series of four leveled books that include information on how to teach problem solving as well as mixed-problem activity pages for students.Problem-solving is a process—an ongoing activity in which we take what we know to discover what we don't know.It involves overcoming obstacles by generating hypo-theses, testing those predictions, and arriving at satisfactory solutions.The mathematician George Polya captured the problem solving principles and strategies he used in his discipline in the book (Princeton University Press, 1957).The book includes a summary of Polya’s problem solving heuristic as well as advice on the teaching of problem solving.Students can use drawings to help them look at a problem from many different perspectives.Practicing problems is a key element to prepare for math competitions.There is also a discussion forum to support Y12 and Y13 students preparing for STEP and other advanced mathematics examinations.You can ask for help and hints if you’re stuck, share what you have tried so far, offer advice to others and get expert guidance from Cambridge University students and staff.It provides students with opportunities to use their newly acquired knowledge in meaningful, real-life activities and assists them in working at higher levels of thinking (see Levels of Questions).Here is a five-stage model that most students can easily memorize and put into action and which has direct applications to many areas of the curriculum as well as everyday life: For younger students, illustrations are helpful in organizing data, manipulating information, and outlining the limits of a problem and its possible solution(s).


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