mathematics

Nikolay Konstantinov

Nikolay Konstantinov is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Nikolay Konstantinov rather than just read about it. In short: Nikolay Nikolayevich Konstantinov (Russian: Николай Николаевич Константинов; 2 January 1932 – 3 July 2021) was a leading Soviet and Russian mathematical educator and organizer of numerous mathematics competitions for high school students. He is best known as the creator of the system of math schools and math classes and as the creator and chief organizer of the Tournament of the Towns.

Key takeaways

Nikolay Konstantinov belongs to mathematics; place it in that map before memorising details.
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Connect Nikolay Konstantinov to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Nikolay Konstantinov from memory before moving on to harder problems.

Reference excerpt

Nikolay Nikolayevich Konstantinov (Russian: Николай Николаевич Константинов; 2 January 1932 – 3 July 2021) was a leading Soviet and Russian mathematical educator and organizer of numerous mathematics competitions for high school students. He is best known as the creator of the system of math schools and math classes and as the creator and chief organizer of the Tournament of the Towns. For his work he was awarded the Paul Erdős award in 1992.

Biography Konstantinov was born and grew up in Moscow, Soviet Union. He graduated from the Physics Department of the Moscow State University in 1954, and later received a Ph.D. in physics. In the 1950s, he started a math circle in Moscow University and since the 1960s in a number of Moscow high schools. He continued working with schools developing special classes with mathematics concentration and individual approach to learning. His students went on to win mathematics competitions on all levels and dozens of them became well-known mathematicians. In 1978, Konstantinov started the Lomonosov tournament, a multi-subject science competition. This tournament is continued every year since then. In 1980, he started the international Tournament of the Towns which is now organized in over 150 towns in 25 countries. Until his late 80s, Konstantinov continued working in Moscow High School 179 and was an editor of Kvant magazine, a popular Russian science publication. In 1990, Konstantinov was one of the founders of Independent University of Moscow, one of the leading institutions of higher learning in mathematics in Russia. Konstantinov died from the effects of COVID-19 on 3 July 2021, during the COVID-19 pandemic in Russia. He was 89 years old.

Books Gelfand, S.I.; Konstantinov, N.N.; Kirillov, A.A.; Gerver, M.L.; Kushnirenko, A.G. (1969). Sequences and combinatorial problems.(The Pocket Mathematical Library. Workbook 1). New York-London-Paris: Gordon and Breach Science Publishers. p. 85. Zbl 0177.30403. Gelfand, Sergei Izrailevich; Gerver, M.L.; Kririllov, A.A.; Konstantinov, N.N.; Kushnirenko, A.G. (2002). Sequences, combinations, limits. Translated and adapted from the Russian by Leslie Cohn and Joan Teller. Reprint of the 1969 ed. Mineola, NY: Dover Publications. p. 142. Zbl 1011.40001. Gelfand, S.I.; Gerver, M.L.; Kirillov, A.A.; Konstantinov, N.N.; Kushnirenko, A.G. (1965). Aufgaben zur Elementarmathematik. Folgen. Kombinarorik. Grenzwerte (in Russian). Moskau: Verlag 'Nauka'. Hauptredaktion für physikalisch-mathematische Literatur. p. 176. Zbl 0148.02902.

Scholarly publications Konstantinov, N.N.; Tabov, J.B.; Taylor, P.J. (1991). "Birth of the Tournament of Towns". Mathematics Competitions. 4 (2): 28–41. Konstantinov, N.N.; Vasilev, N.B.; Tolpygo, A.K. (1991). "Twelve tournaments". Russian Informational Center of International Mathematical Tournament of Towns Moskow. Константинов, Н. Н.; Семенов, А. Л. (7 April 2021). "Результативное образование в математической школе". Чебышёвский Сборник (in Russian). 22 (1): 413–446. doi:10.22405/2226-8383-2021-22-1-413-446. ISSN 2226-8383. S2CID 243609047.

References

Illustrations

Worked examples

Example 1 — a first encounter with Nikolay Konstantinov

Start with the simplest possible case. Write down what Nikolay Konstantinov claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Nikolay Konstantinov before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Nikolay Konstantinov ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Nikolay Konstantinov

In research: Nikolay Konstantinov appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Nikolay Konstantinov in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Nikolay Konstantinov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1932 births, 2021 deaths, 20th-century Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Nikolay Konstantinov outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Nikolay Konstantinov in 20 minutes

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Frequently asked questions

What is Nikolay Konstantinov in simple terms?

Why does Nikolay Konstantinov matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Nikolay Konstantinov?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Nikolay Konstantinov.