In this oil painting, the math problems on the blackboard occupy the center of the picture and appear monotonous; However, as long as people stop to have a look, they will be attracted by the overflowing wisdom in the picture space and can't help doing math problems in front of the oil painting.
This math problem seems not difficult at first glance, but it is not easy to look at it carefully. Not only do primary school students scratch their heads and wonder, but it is also difficult for adults to understand at once.
What is listed on the blackboard is a fraction problem, and its numerator is: 10 square plus1square plus 12 square plus 13 square plus 14 square;
The denominator is: 365.
Ask for an answer.
This question is given by Ladinszky to the pupils he teaches. Ladinszky is a professor of mathematics and a famous mathematician at Moscow University. Why does he give math problems to pupils?
It turns out that although Ladinszky was born in a remote Russian countryside, he was naturally interested in mathematics. When I was a child, I often worked hard for days and nights for some "problems". 1 1 years old, he came across a quadratic equation with two variables, and no matter how hard he racked his brains, he couldn't solve it. Stubborn, he left alone 100 miles and went to the city to ask the middle school math teacher for advice. It only took the teacher a minute to teach him a simple formula. He solved the equation easily and quickly. Ladinszky was deeply touched by this incident: some "difficult problems" that make rural children have a headache can actually be easily solved as long as teachers guide them.
Through his own efforts, Ladinszky finally became an outstanding Russian mathematician. However, he will never forget the children in the country. After much consideration, he resolutely resigned as a university professor and became a math teacher in a rural primary school. Knowing that mathematics often scares rural children, he is determined to turn boring mathematics into a favorite course for children. Therefore, he used some characteristics of numbers to teach children many quick calculation methods. This can not only teach children practical skills, but also stimulate their creativity and cultivate their strong interest in mathematics and rigorous thinking. The math problem in the oil painting was written by Ladinszky. The reason why he wants to work out this problem is that it looks troublesome. However, if we understand a characteristic between several figures of this problem, it will be easy to solve it.
So, what are the characteristics of the problems between these numbers?
You count first.
Did you find any rules in the calculation? Ladinszky found a rule in his calculation that the sum of the square of 10 plus the square of1plus the square of 12 is exactly equal to the sum of the square of 13 plus the square of 14. And the square of 10 plus the square of 1 1 plus the square of 12 equals 365; In other words, the square of 13 plus the square of 14 is also equal to 365. Thus, the numerator is the sum of two 365, and the denominator is a 365. When numerator is divided by denominator, the answer can be blurted out: 2.
This kind of math problem not only teaches students the method of quick calculation, but more importantly, it can inspire students to carefully examine some properties of numbers, so as to use skills to solve difficult problems. The painter Beresky created this oil painting, drawing a seemingly boring math problem into a picture frame, but letting the audience chew olives, with endless aftertaste. The audience was full of praise for Ladinszky's excellent teaching methods.
People who have seen this oil painting will pay special attention to the regularity between numbers, and try to find simple operation methods after understanding its meaning and doing math problems. Hua, a famous mathematician in China, once suggested that people who study mathematics have a look at this oil painting.