Mathematical Student Education - "listki" or dialog?

TL;DR

This paper analyzes the 'listki' system of mathematical education in Russia, discussing its advantages and limitations, especially in fostering theoretical thinking, and emphasizes the importance of dialog in teaching complex topics like information theory, algebra, and non-Euclidean geometry.

Contribution

It provides a critical evaluation of the 'listki' system and advocates for integrating dialog-based methods in teaching advanced mathematical concepts.

Findings

'Listki' system is widely used but has limitations in teaching theoretical thinking.

Dialog is essential for understanding complex topics like information theory and non-Euclidean geometry.

Combining 'listki' with dialog enhances mathematical education.

Abstract

The paper is devoted to technology of math. education in Russia in special mathematical schools ("listkovaya systema"). This system has positive sides and most classes in Russian mathematical schools or circles almost always uses it. However, this system is not good to teach students, in particular to theoretical thinking. We discourse positive and negative sides of it and explain why it should be complimented. The second part of paper devoted to some specific items - information theory, algebra and non-Euclidean geometry. We show, where is dialog is necessary.