Some research on recognition of mathematical ability
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Gotowa wiedza i aktywność w matematycznym kształceniu na przykładzie kątów Langleya
The article contains a didactic project of classes with mathematics students – future teachers. On the example of problems related to Langley’s angles, the author presents differences between two styles of teaching mathematics. One style is based on existing mathematical knowledge, and the second requires active participation of the students in creating this knowledge during the problem solving process.
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Od hipotezy do twierdzenia
In the paper, on the basis of elementary geometrical content, the authors present examples of students' reasoning, which permits, in the first place, to formulate a hypothesis, and further to find a proof. The essential fact here is that the same hypothesis can lead students to follow different possible ways of reasoning.
Wprowadzenie funkcji trygonometrycznych przez szeregi Eisensteina
In the paper, we describe how to introduce the trigonometric functions using their functional characteristics and the Eisenstein series.
A research scheme into the understanding of mathematical concepts technical university students’ understanding of quantifiers
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