“We know, for example, that to study an analysis course it is necessary for a student to have a much higher level of proficiency in trigonometric techniques than he or she must demonstrate on the unified state exam,” Sadovnichy said. – But it is much more difficult to work with poor geometric and especially logical preparation.
The school geometry course, according to Sadovnichy, from the outside may seem somewhat divorced from the needs of higher education. But, this is a mistake.
– Classical geometry is a unique tool for developing not only mathematical skills, but also engineering skills and mathematical intuition. It is through the study of geometric structures that the child becomes familiar with authentic mathematical creativity,” stressed the rector of Moscow State University. – Not in vain, Plato’s Academy had the following motto: “Let no one enter who does not know geometry!”
The geometry course at school is of fundamental importance for the formation of the logical apparatus, added Viktor Sadovnichy.
“Now, in seemingly fundamental colleges of mathematics, physics, and engineering, many students have difficulty distinguishing between necessary and sufficient conditions, and confuse premise and premise in a statement,” he explained. – Some people do not understand the logical nature of proof by contradiction.
On this basis, Sadovnichy believes, it is difficult to build deep mathematics courses, and teachers in seminaries have to change to correct the situation within the schedule of their disciplines.
“I think it is important to expand the tests of logical and geometric abilities within the framework of the state final certification (the Unified State Exam and the Unified State Exam) and the All-Russian tests, to talk more often and more about prestige. from the classical geometry course,” said Viktor Sadovnichy.
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