The article concerns different ways of the construction of the ellipse, both in technical practice and in mathematics. The author suggest that the concept of oval is used in primary mathematics which would be appropriate for practising geometric constructions. Five problems are given in the article.
In our textbooks the proof of the volume of the pyramid is erroneous. The solution of this problem is demonstrated in connection to our school practice.
Readers are invited to write about problems connected with mathematics education. We give here space for discussion about different didactical problems, which are of your interest.
The article looks into the question whether the article is a special case of a rectangle (as the Czech textbooks of the primary school use such a definition of a rectangle that a square is not its special case). The author considers mathematical, didactic and psychological aspects of the situation of defining a rectangle. The possible definitions of other geometric shapes are discussed. Finally, some tasks are given which come from the era of New Maths for readers to solve.
Autoři se zamýšlejí nad pojmem číslo a nad číselnými obory, a to z hlediska didaktického. Blíže se věnují pojmu přirozené číslo, desetinné číslo a zlomek. S oporou o učebnice diskutují o vhodnosti vymezení těchto pojmů.
Autoři se zamýšlejí nad pojmem nekonečno, a to z hlediska pochopení tohoto pojmu u žáků základní a střední školy. Přinášejí příklady potenciálního a aktuálního nekonečna a upozorňují na problematiku nekonečně malých veličin. Pozornost věnují i nekonečným množinám v aritmetice a geometrii.
The article deals with some possibilities of how to teach mathematics through practical activities. The matematics in this conception is not a theoretical field. It is the area of the creation of mathematics by students themselves. Some examples are given.