56. mezinárodní matematická olympiáda
Computers have been employed in education for years. They help to provide educational aids using multimedia forms such as films, pictures, interactive tasks in the learning process, automated testing, etc. In this paper, a concept of an intelligent e-learning system will be proposed. The main purpose of this system is to teach effectively by providing an optimal learning path in each step of the educational process. The determination of a suitable learning path depends on the student's preferences,...
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...
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...
V článku je představena hra DOMINO jako didaktický prostředek pro výuku matematiky. Kostek Domina se dá využít např. k vytváření „součtových“ či magických čtverců, „součtových rámů“ nebo různých početních aktivit a her – vše na základě předem stanovených pravidel skládání. Nabídnuty jsou některé aktivity, které lze využít na různých stupních škol.
The paper has been presented at the International Conference Pioneers of Bulgarian Mathematics, Dedicated to Nikola Obreshko ff and Lubomir Tschakaloff , Sofi a, July, 2006.Component-based software engineering and software architecture are tightly connected areas in computer science. Software architecture presents the functionality of the system as decomposition into components, the properties of these components and the connectors between them. This paper illustrates a methodology for application...
Using examples from elementary mathematics, the article presents some possibilities of using GeoGebra as a tool of active discovery of the mathematical basis of problems. The solving procedures are described by individual steps so that the reader can try them him/herself. The problems were chosen so that different solving strategies can be used in GeoGebra: analytic, synthetic, algebraic.