Geodesic
On the principles of calculus at school
Matematičeskoe obrazovanie, Tome 113 (2025) no. 1, pp. 23-35.

Voir la notice de l'article provenant de la source Math-Net.Ru

The article aims students to realize that the principles of calculus and its methods are based on the completeness of the ordered set of real numbers, and that the leading theorems of the principles of calculus are equivalent to the statement about this completeness. The proofs presented differ from the traditional ones and are accessible to senior students of specialized classes. 
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S. R. Kogalovskiy. On the principles of calculus at school. Matematičeskoe obrazovanie, Tome 113 (2025) no. 1, pp. 23-35. http://geodesic.mathdoc.fr/item/MO_2025_113_1_a1/

[1] S. R. Kogalovskii, Poiski metoda i metody poiska, izd-vo ShGPU, Shuya, 2006, 368 pp.

[2] S. R. Kogalovskii, Ontogeneticheskii podkhod k obucheniyu shkolnikov matematike, izd-vo IvGU, Ivanovo, 2018, 315 pp.