Is it necessary to learn Olympic Mathematics in the sixth grade?
Q: Is it necessary to learn Olympic Mathematics in the sixth grade? A: No need. Olympiad is a kind of advanced education, and many elementary school Olympiad topics can't even be taught by university professors. So parents must do what they can. If your child is not interested in this and has a heavy learning burden, it may be counterproductive. If he is interested in the Olympics itself, he can get twice the result with half the effort by signing up for a good remedial class.
When is the best time to start learning olympiad?
Generally speaking, it is most appropriate to start learning olympiad in grade three. Because at this time, the child is entering a period of thinking mode transformation. At this time, they began to train their thinking mode and problem-solving ideas, and the effect was positive.
However, the children in grade three are noisy, which is not suitable for large class teaching, and the course is not difficult. The effect of parents' self-counseling is good. If parents are really busy, they can hire a tutor or sign up for a small class in Olympic Mathematics.
Is it too late to learn olympiad in the sixth grade?
If the purpose is strong, in order to get into a good school, it is naturally a little late to study. Some have already started to recruit in the second half of the fifth grade or in the winter vacation of the sixth grade. At this time, compared with those children who have a few years of foundation, the foundation is naturally weak. In addition, going to more cups may also miss the grand prize. It is not too late for parents to study Olympiad in the sixth grade simply to cope with the entrance examination and placement examination in junior high school. Learning content of Olympic mathematics in sixth grade
Calculation of area in (1) plane geometry. The difficulty of this kind of problem lies in the fact that triangles are used as auxiliary lines. (2) Travel problems. The trip problem involves the encounter problem, which is divided into straight-line encounter and circular encounter, as well as related issues such as pre-movement, intermediate rest, auxiliary unknowns, chasing problems and so on.
(3) Fractional application questions.
(4) number theory.
(5) divisible congruence.
What kind of children have advantages in learning Olympic Mathematics?
1, gifted children who have a strong interest in mathematics are "good people" and "happy people" in mathematics. Because they like math, they are very active in math class, scrambling to answer questions, scrambling to calculate and prove on the blackboard, and boldly standing on the podium to explain their math knowledge and problem-solving methods to their classmates. After class, students will also give each other some intelligence tests, play some math games and read some interesting math extracurricular books.
2. Outstanding self-study ability
This is due to their strong understanding of mathematics and teachers' conscious cultivation. In our eyes, gifted children in mathematics can easily understand and learn the knowledge in books, and some can immediately explain, calculate and prove on the blackboard. All these are due to their strong self-study ability.
3. Strong sense of independence
Children with mathematical genius generally do not believe in books, teaching reference books or teachers. Their math exercise books are wonderful, often with multiple solutions to one problem and multiple solutions to one problem, and sometimes they can come up with more beautiful and concise solutions than reference books. Dare to argue with teachers when they have different opinions. This is an extremely valuable personality trait.
4. Extraordinary memory
Children with mathematical genius generally have an amazing memory for mathematical symbols and numbers. Some students can recite dozens or hundreds of digits after π decimal point, and many people have a strong memory of classical literary works and can recite hundreds of Chinese and foreign poems and essays.
5. Extraordinary mental arithmetic ability
The most prominent feature of mathematics gifted children in junior high school is their quick mental arithmetic. The teacher's topic has just been written on the blackboard, and the students' answers have been called out. Russian psychologist V·A· Curut found that children with mathematical genius have the ability to "calculate quickly from concrete examples and omit intermediate steps in the process of thinking, that is, from" positive sequence operation "to" reverse sequence operation ".
6. Strong will quality
Math gifted children are not only good at solving problems, but also show superhuman perseverance in other things. When a student first entered the gifted children's class, he saw that there were many strong players in the class, so he studied hard and collapsed. Later, under the guidance of his teacher, he began to practice long-distance running. He has been training for several years until now, which not only strengthens his body, but also exercises his will.
Step 7 be creative
Some students think: "There is a vague indirect but comparable connection between two seemingly different disciplines." As long as you are good at association and analogy, the learning methods and characteristics of one subject can be applied to another course. "This generalized associative analogy method can organically interweave all disciplines into a whole, which is similar to others and develops together.
8, lofty aspirations and ambitions
Students in math gifted children's classes generally have a high level of ideals and ambitions. This first stems from their super confidence. If they fail in the exam, they can treat them correctly and will not be discouraged. Secondly, their high ideals and ambitions lie in the requirements and encouragement of teachers.
The benefits of learning olympiad
First, Olympiad Mathematics can discover and cultivate mathematical talents. The purpose of Olympic Mathematics is not to find out "mathematicians in the world", but to emphasize the spirit of participation, hoping to encourage more young people with mathematical talent to grow up. By studying Olympiad Mathematics, we can discover our mathematical talent, give full play to our mathematical potential, and make it develop better in mathematics.
Second, Olympic Mathematics can stimulate students' interest in learning mathematics.
As Paulia, an American mathematician, said, "If he (the teacher) spends all the time allocated to him to let students practice some routine operations, then he will stifle students' interest, hinder their intellectual development and miss his good opportunity. On the contrary, if he inspires students' curiosity with topics commensurate with their knowledge and helps them answer with some encouraging questions, then he can cultivate students' interest in independent thinking and teach them some methods. " For top students in mathematics (students who have the spare capacity to study), Olympic math problems are topics commensurate with their knowledge, and although these topics exist in textbooks, they are too few and not compulsory, so they are often ignored. These neglected things are just interesting and challenging good things, which are conducive to enhancing students' curiosity and competitiveness, stimulating students' interest in learning mathematics and mobilizing students' enthusiasm for learning.
Third, Olympic mathematics is conducive to the formation of persistent research spirit and scientific attitude.
In a report, the Commission for International Education Development of UNESCO pointed out: "It is a broad interpretation of the purpose of education to integrate a person's physical strength, intelligence, emotion and morality to make him a perfect person." The concrete embodiment of promoting the improvement of students' humanistic quality in Olympiad Education is to enhance students' self-confidence, develop rich emotions, cultivate the consciousness of cooperation, mutual assistance and unity, and exercise the spirit of perseverance, courage to challenge and innovation.
Fifth, it is helpful to improve students' mathematical problem-solving ability.
The problem-solving strategies and skills found, summarized and accumulated by students in the process of solving Olympic math problems will provide reference for subsequent study, thus improving students' mathematical problem-solving ability. Because of the improvement of problem-solving efficiency, it not only saves time, but also reduces the burden, and enters a virtuous circle track, so you can easily learn mathematics.
Students who have studied olympiad in primary school will save one-third to one-half of their time in secondary school (specifically, they will learn olympiad in the middle and senior grades of primary school, and finish their math homework in half an hour or even twenty minutes in secondary school, which is the effect of learning olympiad), thus freeing up more time to study other subjects.
Sixth, it is conducive to the cultivation of mathematical spirit and the formation of mathematical thinking methods.
Olympic Mathematics focuses on cultivating students' mathematical thinking methods, such as set thinking, functional thinking, algebraic thinking, statistical thinking, corresponding thinking, transformation thinking, combination of number and shape thinking, symbolic thinking, classified discussion thinking and overall thinking. After several years' study of Olympic Mathematics, students have gradually formed a mathematical thinking method, which will benefit them for life.
Seven, conducive to the study of other disciplines, and promote the overall improvement of school performance.
Mathematics is the foundation of science, and learning Olympiad is very beneficial for this student to study physical chemistry after entering junior high school. It is for this reason that many key middle schools recruit students who are good at Olympic Mathematics. The benefits of Olympic Mathematics for cultivating students' mathematical thinking and developing their intelligence are very obvious. After many students have studied the Olympic Mathematics, the scores of other subjects have soared in school, which is far away.
Eight, can be limited to adapt to the current examination selection.
If you want to be admitted to the provincial level, you must learn the Olympic Mathematics. Because the enrollment questions in these schools are either the original questions in the Olympic Mathematical Books, or the difficulty is equivalent to or even more difficult than the Olympic Mathematical Questions. Students who have been trained in the Olympic Mathematics system can pass the exam smoothly, while students who have not studied the Olympic Mathematics will feel helpless. Even in the local area, if you want to be admitted to a key class of a key school, you can't do it without studying Olympic Mathematics. To say the least, you still need to learn Olympic Mathematics to cope with the comprehensive improvement questions in the senior high school entrance examination or the senior high school entrance examination papers.