From the concrete activity to the exact mathematics

Abstract

In this paper, we are dealing with problems that have been discussed with prospective mathematics teachers to make them discover methodological opportunities and pitfalls at different levels of problem solving. We have chosen topics which are in themselves interesting for children, because they can be introduced playfully with concrete activity, they require little mathematical knowledge at the start, and their conscious discussion is also important for mathematical activities and applications of mathematics. We will show in Chapter 2 how the games lead to the Fibonacci series and the Pascal triangle, and in Chapter 3, how to get from paper folding to dragon curves. Classification: A30, D50. Keywords: manipulative materials and their use in problem solving (visualizations, models, educational games, paper folding), Fibonacci sequence, Pascal triangle, dragon curve.