scholarly journals The "Teaching Mathematics and Computer Science" Journal logo's mathematical background

2005 ◽  
Vol 3 (1) ◽  
pp. 55-65
Author(s):  
Róbert Oláh-Gál ◽  
Júlia Salamon
2020 ◽  
Vol 1 (1) ◽  
pp. 34-41
Author(s):  
N. V. Brovka

The article is devoted to the description of didactic approaches that allow to integrate the theory and practice of teaching students of mathematical specialties by updating informative intra- and interdisciplinary connections of mathematical disciplines and informatics.Methods for implementing cognitive visualization taking into account the specifics of mathematics and computer science are given. The interpretation of interdisciplinary connections (as a category of teaching didactics) and visual modeling in relation to teaching mathematics are also clarified.The article describes a variant of the organization of content in the computer means of teaching (CMT) students of the classical university in mathematical analysis. The content of this course in one or another volume is a mandatory component of mathematical training in universities, it is consistently associated with the content of the course of school mathematics and is widely used in applied problems.On the basis of the analysis of semantics and logic of construction of formulations of those properties which are repeated in relation to various mathematical objects, the variant of content didactic clustering at which such concepts as “convergence”, “uniform convergence”, “differentiability”, etc., act as patterns in the organization of the maintenance of computer means of training is presented.


Author(s):  
Ervin Deák

The present study aims to analyse some special errors in mathematical reasoning concerning a property of the relation “equivalence by dissection” in synthetic geometry (pure geometry). Although this property is of great importance it is regarded as obviousness and its problematic nature is usually concealed in mathematics teaching. This is deeply rooted in the heritage of greek mathematics and proves to be an obstacle to mathematical education. This subject belongs to a particularity of the mathematical background of teaching mathematics; nevertheless, this study includes some ideas both on other (similar) particularities and from different points of view. Classification: A30, B50, B60, CD30, D20, D30, E40. Keywords: Synthetic geometry, measure geometry, equivalence by dissection, mathematical background of mathematical instruction.


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