Aktuální problém - zavedení počítaček do škol
Bertrand's paradox is a longstanding problem within the classical interpretation of probability theory. The solutions 1/2, 1/3, and 1/4 were proposed using three different approaches to model the problem. In this article, an extended problem, of which Bertrand's paradox is a special case, is proposed and solved. For the special case, it is shown that the corresponding solution is 1/3. Moreover, the reasons of inconsistency are discussed and a proper modeling approach is determined by careful examination...
This article describes a heuristic strategy of analogy and illustrates it by five school mathematics examples. These examples are efficiently solved while using such a strategy.
Autoři článku se zabývají otázkou, jak přispět k rozvoji aritmetických dovedností žáků. V článku jsou představeny některé méně známe vlastnosti Fibonacciho posloupnosti. Autoři ukazují, jak může být Fibonacciho posloupnost využita v rámci výuky dělitelnosti, ale i důkazových technik. V článku bude přístupnou formou dokázáno, že Fibonacciho posloupnost je nejen dělitelnostní, ale i silně dělitelnostní.
When elementary knowledge about divisibility of natural numbers is being taught at elementary schools, word problems are dealt with, whose theoretical base is the Chinese remainder theorem. This theorem can also be used for the solution of more difficult problems. One of them is quoted in this article and is intended mainly for teachers. A set of word problems for sixth- and seventh-grade pupils, whose difficulty increases gradually, is included. Problems based on the Chinese remainder theorem and...