First, the relationship between mathematical knowledge
Junior high school mathematics knowledge is very complex, including monomial and polynomial; Rational number and irrational number; The nature and judgment of triangle; There are many knowledge points such as the concept and solution of binary linear equation. But this knowledge is not irrelevant, but inextricably linked. A primary school teacher once said to a pupil who took three days off: The relationship between mathematical knowledge is like a car chain. If one link goes wrong, the whole chain will break and the car will not run. This metaphor is easy to understand, and learning mathematics knowledge in junior high school should also deal with the internal relationship of mathematics knowledge.
For example, what is a monomial, how the monomial becomes a polynomial, how they transition, the relationship between the concepts of the degree advance of the monomial, how the degree of the polynomial transitions to a polynomial, and what is the relationship between them? Only by clarifying the relationship between them can such problems be understood more thoroughly. Another example is the relationship between rational number and irrational number: irrational number plus irrational number equals irrational number? Rational number plus rational number must be equal to rational number? By clarifying these problems, we can know rational numbers and irrational numbers.
Second, the relationship between mathematics and other disciplines
Mathematics is the most basic subject, and many problems in life will eventually be supported by principles and theories. The methods used in many disciplines are derived from mathematics, and the use of mathematical methods for rigorous argumentation and scientific reasoning is closely related to any discipline.
(A) the relationship between mathematics and natural science
Mathematics is one of the basic tools in physics, and the basic calculation methods and tools used in physics are mostly related to the tools used in mathematics class. For example, in junior high school physics, the most commonly used tool is the scale. The correct use of scale is the basic knowledge and method that students in grade two of primary school are required to master. Secondly, the length of the main unit is meters, which is indicated by the symbol M. The distance we take two steps is about 1 meter, and the height of the desk is about 0.75 meters. The units of length are kilometers, decimeters, centimeters, millimeters and microns, and the relationship between them is also a knowledge that has long been learned in mathematics. For the special measurement methods in physics, such as accumulation method, substitution method and estimation method, these are all physical methods based on mathematical methods.
Not only is physics inseparable from mathematics, but chemical application also needs more mathematical knowledge. Chemistry is a widely used scientific knowledge, including organic chemistry, inorganic chemistry, biochemistry and so on. The subject of chemistry is mainly based on experiments, and it also has its place in the field of industrial production. But even if it has eighteen martial arts, its function still depends on mathematics. So some people will say, "If you are an excellent chemist, the stronger your mathematical ability, the higher your work efficiency, because you will be able to easily integrate chemistry and mathematics." .
(2) The relationship between mathematics and Chinese.
Due to the increase of subjects, some students will be biased, especially boys, who like abstract thinking and strong logic, so they usually like math and their math scores have made a sudden progress. However, with the increase of grade, their grades will drop accordingly. A large part of the reason is that they don't like reading, don't pay attention to Chinese learning, have poor reading and expression skills, and can only do half the questions correctly. A professor said: "If you want to enter the mathematics department of Fudan University, you can't pass the Chinese, and no matter how good you are, you can't pass the math exam." This shows the importance of subject integration. Mathematics is the basis of learning natural science, while Chinese is the tool discipline, the foundation, the foundation of all disciplines, and the foundation. For example, the application problems of junior high school mathematics have pure text type and graphic type, but no matter which type, they must be completed by understanding the meaning of the questions. When reading the information of the question, we should refine the information according to the key words on the basis of comprehensive understanding, and find out the relationship between quantity and quantity, so as to establish the information network given by the question in our mind and lay a good foundation for the next calculation.
Third, the relationship between mathematics and life.
Hua said: "The universe is big, the particles are tiny, the speed of rockets, the cleverness of chemical engineering, the change of the earth, the complexity of daily use, and mathematics is everywhere." It shows that mathematics is around, and our life is closely related to mathematics.
There is a lot of knowledge in junior high school mathematics teaching. We can understand mathematics knowledge by looking for similar phenomena in life and explaining some phenomena in life. For example, the content of the eighth grade in junior high school involves the stability of triangles. Then you can find the triangle buildings in life, the triangle at the top of the house, the tripod of the bicycle and the structure of the tricycle. These are all based on the stability of triangles. For example, the "translation and rotation" in seventh grade mathematics, let students open the window of life, talk about slides and other phenomena in life to explain its principle. Junior high school mathematics should teach students to observe things in life from a mathematical perspective and think about the essence of these phenomena with a mathematical mind, so that mathematics can be closely integrated with life.
How to learn and teach junior high school mathematics well is a new topic. Mathematics teachers should give full play to the main channel of classroom teaching according to the characteristics of mathematics subject, the law of mathematics teaching and the present situation of students' mathematics learning. However, dealing with the internal relations between mathematics and life, mathematics and other disciplines, and mathematical knowledge, and cultivating students' habits of mathematical thinking training and mathematical thinking methods in a planned way will play a positive role in students' relaxed and happy learning of mathematics.