Ivan Yaschenko: We are obliged to offer an interesting course of mathematics

Ivan Valerievich, parents in a panic: the math test for ninth graders appeared completely non-standard puzzles. Whether will master their graduates?

Ivan Yashchenko: Indeed, there is a new block assignments from “life”. For example, the student must calculate how many full tiles will have to put on a country station. The scheme is attached. Or how many cans of paint to buy to paint the fence. Also in the exam can get the calculation of the cost of the insurance policy, the choice between electric and gas heating and other real-world situation.

a policy is the insurance why?

Ivan Yashchenko: In our mathematical education traditionally weak relationship with practice. Tasks in textbooks are often too refined, and tailored ready-made equations. Everything in life is much more complicated. It is very important not just to know the formula, but to be able to use it.

Even when there were no calculators, multiply and divide six-digit numbers in the mind had no practical meaning. And now it is not, in principle,

Jobs, who entered the exam, we are widely tested in previous years. The teachers were difficult to rebuild. But the parents are the most positive reviews. Unfortunately, up to 40 percent of errors on the exams are linked to the fact that the student misread, misunderstood condition. Do not panic: there’s still time to work out. All versions of the OGE will be formed on the basis of an open Bank jobs – anyone can visit the website of Federal Institute of pedagogical measurements and to download them. Teachers can include these tasks in their regular classes.

You once said: the Soviet “world’s best” mathematics education is a myth. Can you explain?

Photo: Alexander Korolkov/WG the winners and prizewinners of the Olympiad, Russia and “the Russian newspaper”

Ivan Yashchenko: the Myth is its popularity and accessibility. On the one hand, Soviet mathematical education did give results at the top level. On the other mass it was never. The program was heavily congested, the requirements are unrealistic high. In the end, fully mastered the curriculum in the interest of the students. Moreover, teachers EN masse “draw” for children final exams on algebra and the beginnings of calculus.

But the situation has changed dramatically. Today’s students are asking the right questions: why do I need it where I’m going to use? Therefore, we must take the best from the Soviet mathematical education and to move forward. We just have to offer an interesting course in mathematics, which would motivate the child.


Ivan Yashchenko: Yes, in the framework of the Moscow project “Mathematical hierarchy” in the capital’s schools an in-depth study of mathematics begins with the seventh grade. It is very applied, right “glubinka”. Approved new textbooks, where the material filed clearly, through practice, on the historical facts. For example, one of the great discoveries – the discovery of America by Columbus – occurred because of an error in the calculations. Everything is analysed in detail and very interesting. I am sure that soon these school books will be available throughout Russia. And in April-may this Express course offers online.

Moscow school students took fifth place in the world in mathematical literacy. The secret is in the new great books? Maybe in teachers ‘ salaries?

Ivan Yashchenko: the International PISA study, which you say validates the important aspect is the ability to solve problems practice-oriented. And here are the results of Moscow has really grown very seriously. Of course, it is not only in textbooks and wachLVL. Capital works with students on all fronts – it relies on mass quality education. More than a third of all Moscow schools give the results at the final stage of all-Russian Olympiad. And absolutely all of the schools involved in the first stages.

Photo: pixabay.com Train your brain: the insidious Six math problems

In General, Russia occupies 30th place for mathematical literacy. It’s not bad. However, the problem is that in some regions the education system is too sharpened on exams: the best teachers put only on graduation classes, forcing teachers to coach students at MSE and CSE. The Olympics are only the most able children who go to the best schools. But not so much.

speaking of the Olympics. At the international mathematical contest Romanian Masters – our team won five gold medals. Among the winners – students of the Moscow 57, Chelyabinsk 31st of the Lyceum Presidential Fizmatlit No. 239 in Saint-Petersburg…

Ivan Yashchenko: In July to be held the 61st international mathematical Olympiad. Very prestigious and very serious. Will be held in St. Petersburg. Hopefully, at this point, we will cope with the coronavirus and all restrictions will decline. I would like to compete with the strongest teams from the USA, China, Korea.

Ivan Yaschenko: We have usathese the best from the Soviet mathematical education. Photo: Michael Sinitsyn

the International Olympiad is not just a top level of education on the subject. Yes, higher success few achieve. But on school, municipal, regional stages of the children must try your hand. The more attempts, the more chances of success. There are so many modern digital resources to help: available “Moscow e-school” distance learning platform of the famous “Sirius”. Together with leading scientists and cognitivists at Sirius, we are developing a large project that will dramatically increase success in math education, to identify and eliminate problems which are associated not only with mathematics but also with the psychological characteristics of the child.

Unified in mathematics for 11th graders was divided into “basic” and “profile”. Maybe to do the same with the exam for 9th grade?

Ivan Yashchenko: No, OGE to “base” and “profile” to share certainly not necessary. But what is really needed is to introduce a specialization in 7-9 grades. There should be a separate mathematical schools for the elite: in every, even the rural school, the child should have the opportunity to study mathematics in depth. Association of mathematics teachers together with the specialists of “Sirius” has already appealed to the Ministry of education to amend the Federal state educational standards for this specialization.

the higher levels in mathematics this year chose 405 thousand graduates. Basic – only 320 thousand. Why “base” suddenly lost “profile”: it is easier?

Ivan Yashchenko: When we first entered this division, many feared that all the guys EN masse go to “database” and it will kill our mathematical education. Everything was exactly the opposite: quality has increased. The secret is that students become really assess their strength and to make informed choices. Approximately half of all majors at the universities require it “profile”: engineering, mathematics, natural science, IT-directions And student… and better it out: more than those who pass at 80 and 100 points. But the “losers” less than.

Photo: Valery Matytsin/TASS Cope machinery, teachers and parents distance learning

What you can do to tighten for the remainder of the exam two months? Your advice?

Ivan Yashchenko: it makes no sense to progressivity all tasks and options in a row. There is no sense to teach a new theory. Do focus on topics and tasks that you are good at it. This will avoid accidental offensive mistakes. The main thing – adequately to assess their strength. Select a few universities, see their scores came last year. Think about your grades in other subjects and make a “fork”: this is where I will be able to do if you get, say, 80 points. But this University will spare: there will be enough 65.

Now the Moscow Center of excellence along with the “Yandex” has launched a free crash course to prepare for the exam. It is available for all Russian schoolchildren.

the Question

a championship in mental arithmetic, which teaches a quick account. Seven seconds to decide on 10 examples of even four-digit numbers… they somehow just problems in school with math will not?

Ivan Yashchenko: there is No confirmed evidence that mental arithmetic allow children to be successful. Moreover, such a substitution the objectives are often very harmful: instead of the child’s development we train narrow and not very useful skill! Even earlier, when there were no calculators, multiply and divide six-digit numbers in the mind had no practical meaning, but now it is not in principle. On the contrary, the share of formal computational skills, the volume of such computationsevents in school are reduced. Much more important to be able to understand what kind of number and what to share. Or any interest and what to consider.