Ricerc@Sapienza

The relationship between applied and pure mathematics is of utmost concern for Klein. Examples from Volume III of his “Elementarmathematik” illustrate how, starting from an intuitive and sometimes practical approach, Klein develops abstract concepts working in rich “mathematical environments”. The examples concern the concept of empirical function and its comparison with an idealised curve, point sets obtained through circular inversion that lead to compare rational numbers and real numbers, and the “continuous” transformation of curves with the help of a point moving in space.

Is the first collection of Klein’s main ideas on the teaching of mathematics Shows that Felix Klein was a remarkable figure in mathematics and mathematics education Demonstrates that Klein’s ideas are still important in teaching mathematics today Written by authors who have worked with Klein’s ideas on teaching mathematics for many years