Scientific journal
Научное обозрение. Педагогические науки
ISSN 2500-3402
ПИ №ФС77-57475

Personal portfolio

GAMESWITHPERPETUITY: TREATING ONE OF THE USE TRAINING PROBLEMS

Popyrin A.V. 1 Savina L.N. 1
1 Elabuga Institute of Kazan (Volga Region) Federal University
The article analyses the solution of the well-known training problem found in the workbook: ЕГЭ-2013. Математика: типовыеэкзаменационныеварианты: 30 вариантов / подред. А.Л. Семенова, И.В. Ященко. - М. : Национальноеобразование, 2012. – 192 с. (Mathematics: Samples of Examination Tasks: 30 Variants / edited by A.L. Semenov, I.V. Yaschenko. M.: Natsionalnoyeobrazovaniye, 2012. – 192 p.). The solution to the problem presented in the book assumes that the schoolchildren should know the scenarios for associative and commutative laws to be applied to numerical series. However, these conditions are studied only in institutions of higher education. The transfer of properties from finite sums to infinite ones can entail contradictions. Treating the given solution as an insufficiently grounded the authors of the article offer their own one. It is based on the properties of common fractions magnitude comparison. This approach will also make it easy to find all the common fractions complying with the solution to the problem. The schoolchildren have sufficient skills to do all these operations.