Junior high school mathematics is a preliminary study and mastery of basic mathematical concepts and methods, while senior high school mathematics is a further deepening, expansion and application on the basis of junior high school mathematics.

The following is a detailed description of junior high school mathematics:

1. knowledge content

Junior high school mathematics mainly includes number and formula, algebra, geometry, function, statistics and probability. In senior high school mathematics, I further studied mathematical analysis, number theory, vector and solid geometry, probability statistics, mathematical reasoning and so on. The main goal of high school mathematics is to cultivate students' mathematical thinking ability and the ability to solve practical problems.

2. Difficulties and abstractions

Compared with junior high school mathematics, senior high school mathematics is more difficult, involving more abstract concepts and symbolic operations. High school mathematics emphasizes the cultivation of abstract thinking and logical reasoning ability, and pays attention to students' mathematical modeling ability.

3. Application level

Junior high school mathematics is mainly taught in the background of daily life and study, focusing on the understanding and application of basic concepts. Senior high school mathematics pays more attention to the application of mathematical knowledge in science and engineering study and practical problems. The learning goal of high school mathematics is to cultivate students' mathematical literacy and lay a solid mathematical foundation for university study and research.

4. Discipline integration

Junior high school mathematics is the foundation of senior high school mathematics, and senior high school mathematics is the foundation of college mathematics. There is a close connection between junior high school mathematics and senior high school mathematics, which inherits and deepens the content of junior high school mathematics and lays the foundation for students to further study mathematics.

5. Teaching methods

Junior high school mathematics pays attention to the introduction of concepts and the training of basic skills, and uses intuitive charts and examples to explain. However, high school mathematics teaching pays more attention to the cultivation of abstract thinking, reasoning proof and problem-solving ability, and adopts rigorous logic system and the use of mathematical symbols.

6. Professional development and application

Mathematics in junior and senior high schools is an important stage to cultivate students' mathematical thinking and ability. For students who are interested in mathematics, high school mathematics provides a foundation for them to further choose mathematics-related majors. Mathematics is widely used in modern science and technology, and talents with mathematical literacy have good development prospects in various fields.