About the history of teaching mathematics in Venezuela.
The article deals with the introduction of logarithmic function with the help of GeoGebra and Derive 6. A teaching experiment is described in which pupils reached the concept of logarithmic function by solving a carefully selected series of problems. Each problem is complemented by a solution and comments about the way it was solved by pupils with the help of software. The whole process ended with the definition of logarithmic function and a series of problems in which pupils were to discover its...
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...
The article is a continuation from the previous issue. It focuses on activities which aim at building new mathematical knowledge via manipulation and experimenting. One activity is a Logo construction set which can be used for developing spatial imagery. The main part of the article aims at geometric constructions with constructing tools - it consists of stories which motivate pupils to construct shapes using the knowledge of some of their properties. It is shown that the stage of constructing the...