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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.
Through these social interactions, students feel that they can take risks, try new strategies, and give and receive feedback.
They learn cooperatively as they share a range of points of view or discuss ways of solving a problem.
Then as you become a more confident problem-solver you can try more past STEP questions.
One student who worked with NRICH said: "From personal experience, I was disastrous at STEP to start with.
If you are preparing for STEP, it makes sense that some of these problems should be STEP questions, but to start off with it's worth spending time looking at problems from other sources.
This collection of NRICH problems is designed for younger students, but it's very worthwhile having a go at a few to practise the problem-solving technique in a context where the mathematics should be straightforward to you.
Learning takes place within social settings (Vygotsky, 1978).
Students construct understandings through engagement with problems and interaction with others in these activities.
If the way forward is obvious, it’s not a problem—it is a straightforward application.
To understand how students become problem solvers we need to look at the theories that underpin learning in mathematics.