Mathematical Olympiad 2x2. Internet Olympiad in Mathematics "Twice Two" - Boomstarter. What is needed for training

The rapid development of "high technologies" and their more and more widespread introduction into the space surrounding a modern person imposes certain requirements on him, including his level of knowledge and skills. It is mathematics that is the main tool for studying the world around us, it is thanks to it that technical progress becomes possible. Therefore, the relevance of mastering the basics of mathematical logic, mathematical analysis, a certain mathematical apparatus today is more than ever obvious.

For children of primary school age, the need for mathematics is no less than for students of middle and high school... The earlier children get carried away with mathematics, the easier it will be for them to master this subject in depth.

“Mathematics only then must be taught, that it puts the mind in order,” - these are the words of our great compatriot M. Lomonosov. The skills of creative logical thinking, acquired by children in the course of training in this program, are necessary for them to form further interest in the subject and when teaching in other subjects and areas.

This program to a greater extent relies on the school knowledge of children (without duplicating the school curriculum), gradually acquainting students with the fascinating world of mathematics.

Classes according to the program are structured in such a way as, first of all, to interest children, to captivate them with the opportunity to acquire the ability to think outside the box and abstract from stereotyped thinking; attracting children at the beginning of their education to participate in mathematical olympiads and tournaments of different levels.

Educational:

  • give initial knowledge theoretical material on combinatorics, sets, logic, graphs, volumetric and plane figures, etc.
  • introduce some mathematical methods for solving problems
  • to form the ability to organize data and present them in the form of a diagram.

Developing:

  • give the basics of skills independent work when solving non-standard mathematical problems;
  • to give the basics of the ability to build a chain of logical judgments, argumentation and evidence;
  • develop abstract thinking.

Educational:

  • to cultivate a sense of purpose in achieving creative results;
  • improve self-esteem.
Expected results

At the end of the training, children will master some mathematical methods for solving problems (the method of solving problems from the end, etc.), will have an idea of \u200b\u200bthe symmetry of geometric shapes; will possess the basic skills of logical thinking; will be able to master new theoretical material (graphs, area of \u200b\u200bfigures) and some algorithms for solving various non-standard problems; will own some mathematical principles of problem solving; acquire the skills of logical thinking, skills of independent work in solving non-standard mathematical problems; gain experience in teamwork; will increase the level of abstract thinking.

Methods for determining the effectiveness of the development of the program.

The result of training under this program is assessed by the number of problems solved by the student during the year, at the final Olympiad, as well as by the results of performances at the Olympiads of various levels.

Classes consist of theoretical and practical parts. The theoretical part - analysis of problems, which gives children an idea of \u200b\u200bhow mathematical proofs work. Practical part allows you to accumulate the experience of the entire group when solving a mathematical problem. In the classroom, the technologies of student-centered, dialogue and game learning are widely used. Didactic material is widely used: cubes, polyominoes, tangrams, sweeps, etc.

Tasks start with fairly simple ones and become more complicated gradually, therefore, also gradually, each child gains confidence in his abilities and, as a result, he solves rather difficult tasks. This is an important point in enhancing a child's self-esteem.

Many problems are easier for learners to solve if their plot is emotionally close to the child. Even children 6-8 years old solve problems with a fabulous environment much more willingly than dry mathematical problems. Therefore, in the classroom, game learning technologies are widely used.

Topic No.

Title of sections and topics

Basic rules and requirements for safety and fire safety. Acquaintance with the program, its structure, goals and objectives. Differences between school mathematics and the content of education for this additional educational program... Different types of tasks.

The practical part. Analysis and solution of problems from various sections on the olympiad topics.

"Plus, minus one."

Staircase and floor problems. The difference between a line and a round dance. Solving problems on a topic of increased complexity. New methods for solving problems of this type.

The practical part. Solving problems.

Transfusion.

Basic principles of transfusion tasks. The main types of errors in solving problems of this type. Examples of problem solving. Examples of tasks to prove the impossibility of certain types of actions.

The practical part. Solving problems.

Roman numerals.

Fundamentals of positional number systems. Acquaintance of students with other non-positional number systems. Converting four-digit numbers from Arabic to Roman and vice versa. Examples of solving problems of increased complexity.

The practical part. Solving problems.

Solving problems from the end.

Mastering the method of solving problems from the end in various variations. The main types of problems to be solved from the end. Analysis of problem solving from the end.

The practical part. Solving problems.

Cutting tasks.

The main types of figures on a checkered plane. Non-constructive methods for solving problems on cutting on a checkered plane. Basic rules for cutting on a checkered plane. The principle of pairing. Symmetry. Solving problems with selected cells.

The practical part. Solving problems.

Method for solving problems in parts. The main types of problems and methods for their solution.

The practical part. Solving problems.

Heads and Legs.

The basic principle for solving problems of this type. Various formulations and types of tasks on this topic.

The practical part. Solving problems.

Geometric figures.

Symmetrical shapes. Cutting shapes on a plane. Differences between a checkered plane and a regular one.

The practical part. Solving problems.

Math games

The practical part. Math games, contests, puzzles, math tricks.

"With one stroke of the pen."

Typical tasks, basic principles of problem solving.

The practical part. Analysis and problem solving.

Drawing up tables for solving logical problems. Examples of problem solving.

The practical part. Solving problems of increased complexity.

Soma cubes.

Algorithms for assembling a 3x3x3 cube, basic principles for solving problems. Analysis of numerous solution examples.

The practical part. Solving problems.

Analysis of olympiad problems based on materials from past olympiads.

The practical part. Solving the problems of the olympiad of past years.

Analysis and discussion of the problems of the past Olympiad.

Final Olympiad.

The practical part. Final Olympiad to determine the level of knowledge of students.

Topic No.

Title of sections and topics

Number of hours

Theory

Practice

Total

Introductory lesson. Safety engineering. Different tasks.

"Plus, minus one."

Transfusion.

Roman numerals.

Solving problems from the end.

Cutting tasks.

Heads and Legs.

Geometric figures.

Math games

"With one stroke of the pen."

Soma cubes.

Preparation for participation in the mathematical Olympiad.

Analysis of the problems of the past Olympiad.

Final Olympiad.

Total:

Every child has a talent. Currently, the development needs of children have grown enormously. There is not always a school or a children's center near the house that will see and develop the child's abilities. And then our correspondence circles come to the rescue.

Any child can take part in the distance circle. When correspondence form training assignments are received via the Internet. The child does the work under the guidance of a parent or teacher. All classes that an adult leader receives have a theoretical and practical part. At the same time, no knowledge of mathematics is required from an adult, since all problems contain not only solutions, but also tips for the child.

What is the advantage of the distance mug? You can start practicing at any time. You don't need to go anywhere. The pace of work during the week is chosen independently, illness and travel do not affect the absence of classes, as in a full-time circle. In addition, you can take part in outreach schools throughout the year. The materials of the distance circle are created on the basis of the materials of the full-time circles conducted by us in Moscow.

What is required for training?

First, you need a child with a desire to learn (at least a little). Note that at a young age it is better not to practice additional education in general, what to do "out of the stick."
Secondly, you need an adult who will help the child learn. All materials assume that the child will be helped by an interested adult who himself may not even remember the multiplication table.
Thirdly, you need to know a little about using the Internet.

How is the training organized?

An adult who wants to start teaching a child in our circle registers on our website and becomes a curator ... Then the curator can register one or more students. Each of the students takes an entrance test and is assigned to a group corresponding to his initial level.
Then the curator downloads from personal account tasks with solutions, answers and guidelines. Then, based on the materials received, he solves problems with his child. The more the child decides for himself, the better. You can solve one problem in a few days. After several sessions on the site, the child performs a verification test, after which a new block of tasks begins.
Each block consists of four regular tasks, usually each task is devoted to one topic and one test test on the topics studied. There are three such blocks in total during the training cycle. That is, the training cycle contains 15 tasks. At the end of the school year, the child will receive a certificate of participation in the circle.

For schoolchildren of grades 5-6, we plan to open such a circle in the future.

About us

Creative laboratory "Twice Two" has long been known among mathematicians and those who are related to mathematical education. But, as you know, mathematicians are often not talkative and reserved, and do not strive for fame, and it is very difficult to find good mathematicians, especially in small towns and distant villages. And, nevertheless, everyone needs mathematics. It's good for those who are lucky with a teacher who, thanks to perseverance and natural gift, still works honestly in a small school, somewhere in a distant village. And what about those who are unlucky? And in a big city there are a lot of people, but there are few good teachers.

So we decided that classes, visiting schools, olympiads and tournaments, math circles for our region are good projects... But it's time to think about those who really want to learn, but have no opportunity to get to us.

We want to create an Internet math Olympiad for everyone on our basis. We already have extensive experience in conducting mathematical Olympiads and want to make it available to other regions of our country.

We are known in many cities of Russia: Barnaul, Volgograd, Yekaterinburg, Izhevsk, Irkutsk, Krasnoyarsk, Kurgan, Moscow, Naberezhnye Chelny, Perm, Saratov, Stavropol, Ufa, Chelyabinsk and other cities.

Our projects at Boomstarter

But we are already known on the Boomstarter portal. This year we raised money and released a wonderful one with the support of Mikhail Nikolayevich Zadornov. We were fascinated by the idea of \u200b\u200bbringing back to life the most ancient game - Slavic chess. In our classes, children are happy to play "Amulet", as it combines simple rules, harmonious logic and dynamism.

Most of our sponsors will receive the game as a gift as a reward.

Creative laboratory "Twice Two" as a non-profit organization

We have never advertised our activities. Although, we are rightfully proud of our children, teachers, methodologists and graduates. Our children win various Olympiads, graduates study at the best universities in the country. "Twice Two" is passed from hand to hand as a sign of trust and high quality.

There is another reason for this. Twice Two has always been a non-profit organization. We never put ours the purpose of making money. That is why we are still working exclusively on charitable contributions. You understand that it is difficult to create an all-Russian network of high-quality mathematics education being, in fact, a charitable organization. But, fortunately for us, today even very small villages have the Internet.

We want to make our quality available to everyone who wants to learn and strives for knowledge.

Internet Olympiad in Mathematics "Twice Two"

The Internet Olympiad will be held in two leagues: Silver and Gold. Each league is held in 2 rounds. The Silver League is held in two test rounds, the Gold League in two traditional written rounds. Tours will take place according to the schedule approved for each academic year.

The start of the Internet Olympiad is planned for March 2015. Any schoolchild of grades 1-8 under the guidance of parents (substitute parents) or a group of schoolchildren under the guidance of a teacher can become a participant in the Olympiad.

The verification of the works of the participants of the Silver League will be carried out automatically on the website of the Internet Olympiad. Experienced teachers of the Creative Laboratory "Twice Two" will check the works of the participants of the Golden League.

The funds raised will be used to create a database of mathematical problems, provide technical support for the Internet Mathematical Olympiad, and attract the best mathematics teachers to work with students and check assignments.

Perspective

We set ourselves an ambitious goal - to involve as wide a circle of students as possible in mathematics, teaching them how to solve and formulate non-standard problems, as well as identifying gifted students for their further education.

If the project collects more than the declared amount, then in the coming year we will begin to implement the next stage of our project - the creation of an all-Russian system of distant mathematical education.

P.S. Dear friends, we remind you that by choosing a reward, you can deposit any amount. It can be equal to the one indicated in the name of the reward, or be as large as you like. It depends only on your financial capabilities and desire to help the development of Russian mathematics.

Project Manager

Bronnikov Anatoly Anatolievich
One of the founders and directors of the Twice-Two Creative Laboratory. Mathematic teacher. Curator of projects of TL "Twice Two" in one of the best Moscow schools "GBOU Shkola 1329".
Graduated from the Faculty of Mathematics of the Bashkir State University with honors.
Anatoly Anatolyevich participated in the preparation schoolchildren who won five gold medals at the International Mathematical Olympiad.

Mikhailovsky Nikita Andreevich
Lecturer at the Twice Two Creative Laboratory, graduate of the Moscow State University Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, graduate of the Chelyabinsk Physics and Mathematics Lyceum No. 31, winner of the All-Russian Olympiad for schoolchildren in mathematics.

Kuprin Sergey Evgenievich

Lecturer at the Twice Two Creative Laboratory, graduate of the Moscow State University Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, graduate of the Chelyabinsk Physics and Mathematics Lyceum No. 31, winner of the All-Russian Olympiad in Mathematics.

Golovin Anton Igorevich

Graduate of Moscow State University Lomonosov, Faculty of Computational Mathematics and Cybernetics.

Support us! The future starts today.

The rapid development of "high technologies" and their more and more widespread introduction into the space surrounding a modern person imposes certain requirements on him, including his level of knowledge and skills. It is mathematics that is the main tool for studying the world around us, it is thanks to it that technical progress becomes possible. Therefore, the relevance of mastering the basics of mathematical logic, mathematical analysis, a certain mathematical apparatus today is more than ever obvious.

For children of primary school age, the need for math classes is no less than for students in middle and high school. The earlier children get carried away with mathematics, the easier it will be for them to master this subject in depth.

“Mathematics only then must be taught, that it puts the mind in order,” - these are the words of our great compatriot M. Lomonosov. The skills of creative logical thinking, acquired by children in the course of training in this program, are necessary for them to form further interest in the subject and when teaching in other subjects and areas.

This program is largely based on the school knowledge of children (without duplicating the school curriculum), gradually introducing students to the fascinating world of mathematics.

Classes according to the program are structured in such a way as, first of all, to interest children, to captivate them with the opportunity to acquire the ability to think outside the box and abstract from stereotyped thinking; attracting children at the beginning of their education to participate in mathematical olympiads and tournaments of different levels.

Educational:

  • to give the initial knowledge of theoretical material on combinatorics, sets, logic, graphs, volumetric and plane figures, etc.
  • introduce some mathematical methods for solving problems
  • to form the ability to organize data and present them in the form of a diagram.

Developing:

  • to give the basics of independent work skills in solving non-standard math problems;
  • to give the basics of the ability to build a chain of logical judgments, argumentation and evidence;
  • develop abstract thinking.

Educational:

  • to cultivate a sense of purpose in achieving creative results;
  • improve self-esteem.
Expected results

At the end of the training, children will master some mathematical methods for solving problems (the method of solving problems from the end, etc.), will have an idea of \u200b\u200bthe symmetry of geometric shapes; will possess the basic skills of logical thinking; will be able to master new theoretical material (graphs, area of \u200b\u200bfigures) and some algorithms for solving various non-standard problems; will own some mathematical principles of problem solving; acquire the skills of logical thinking, skills of independent work in solving non-standard mathematical problems; gain experience in teamwork; will increase the level of abstract thinking.

Methods for determining the effectiveness of the development of the program.

The result of training under this program is assessed by the number of problems solved by the student during the year, at the final Olympiad, as well as by the results of performances at the Olympiads of various levels.

Classes consist of theoretical and practical parts. The theoretical part - analysis of problems, which gives children an idea of \u200b\u200bhow mathematical proofs work. The practical part allows you to accumulate the experience of the entire group when solving a mathematical problem. In the classroom, the technologies of student-centered, dialogue and game learning are widely used. Didactic material is widely used: cubes, polyominoes, tangrams, sweeps, etc.

Tasks start with fairly simple ones and become more complicated gradually, therefore, also gradually, each child gains confidence in his abilities and, as a result, he solves rather difficult tasks. This is an important point in enhancing a child's self-esteem.

Many problems are easier for learners to solve if their plot is emotionally close to the child. Even children 6-8 years old solve problems with a fabulous environment much more willingly than dry mathematical problems. Therefore, in the classroom, game learning technologies are widely used.

Topic No.

Title of sections and topics

Basic rules and requirements for safety and fire safety. Acquaintance with the program, its structure, goals and objectives. Differences between school mathematics and educational content for this additional educational program. Different types of tasks.

The practical part. Analysis and solution of problems from various sections on the olympiad topics.

"Plus, minus one."

Staircase and floor problems. The difference between a line and a round dance. Solving problems on a topic of increased complexity. New methods for solving problems of this type.

The practical part. Solving problems.

Transfusion.

Basic principles of transfusion tasks. The main types of errors in solving problems of this type. Examples of problem solving. Examples of tasks to prove the impossibility of certain types of actions.

The practical part. Solving problems.

Roman numerals.

Fundamentals of positional number systems. Acquaintance of students with other non-positional number systems. Converting four-digit numbers from Arabic to Roman and vice versa. Examples of solving problems of increased complexity.

The practical part. Solving problems.

Solving problems from the end.

Mastering the method of solving problems from the end in various variations. The main types of problems to be solved from the end. Analysis of problem solving from the end.

The practical part. Solving problems.

Cutting tasks.

The main types of figures on a checkered plane. Non-constructive methods for solving problems on cutting on a checkered plane. Basic rules for cutting on a checkered plane. The principle of pairing. Symmetry. Solving problems with selected cells.

The practical part. Solving problems.

Method for solving problems in parts. The main types of problems and methods for their solution.

The practical part. Solving problems.

Heads and Legs.

The basic principle for solving problems of this type. Various formulations and types of tasks on this topic.

The practical part. Solving problems.

Geometric figures.

Symmetrical shapes. Cutting shapes on a plane. Differences between a checkered plane and a regular one.

The practical part. Solving problems.

Math games

The practical part. Math games, contests, puzzles, math tricks.

"With one stroke of the pen."

Typical tasks, basic principles of problem solving.

The practical part. Analysis and problem solving.

Drawing up tables for solving logical problems. Examples of problem solving.

The practical part. Solving problems of increased complexity.

Soma cubes.

Algorithms for assembling a 3x3x3 cube, basic principles for solving problems. Analysis of numerous solution examples.

The practical part. Solving problems.

Analysis of olympiad problems based on materials from past olympiads.

The practical part. Solving the problems of the olympiad of past years.

Analysis and discussion of the problems of the past Olympiad.

Final Olympiad.

The practical part. Final Olympiad to determine the level of knowledge of students.

Topic No.

Title of sections and topics

Number of hours

Theory

Practice

Total

Introductory lesson. Safety engineering. Different tasks.

"Plus, minus one."

Transfusion.

Roman numerals.

Solving problems from the end.

Cutting tasks.

Heads and Legs.

Geometric figures.

Math games

"With one stroke of the pen."

Soma cubes.

Preparation for participation in the mathematical Olympiad.

Analysis of the problems of the past Olympiad.

Final Olympiad.

Total: