First of all, when tutoring students to learn junior high school mathematics, the first problem is to make clear conclusions, that is, to teach students the answers to questions, the definition of formulas and the proof of theorems, and to tell students the purpose and scope of application of these conclusions.
For example, when teaching students to learn Pythagorean theorem, we should tell them the relationship between the three variables of Pythagorean theorem, that is, the sum of the squares of the two right-angled sides of the hook is equal to the square of the length of the hypotenuse, and then prove the correctness of the theorem through mathematical formulas.
2. Secondly, it is necessary to explain the reasons behind it, that is, why this is the case and what is the significance of doing so. This can help students better understand the problem and cultivate their thinking ability from the essence of the problem.
For example, when teaching Pythagorean Theorem, we can explain why Pythagorean Theorem exists and under what circumstances it can be applied, and correctly using Pythagorean Theorem can easily calculate the characteristics of right triangle.
Finally, it is necessary to provide students with some relevant content extensions to help them deepen their understanding and mastery of the problem. This can include some typical examples and exercises to guide students to think and explore more advanced mathematics knowledge by themselves. You can bring some games in, so that students can learn math while playing games.
For example, in order to help students master Pythagorean Theorem better, we can provide some typical examples and exercises related to Pythagorean Theorem, such as calculating the perimeter and area of right triangle. In addition, it can also guide students to further study trigonometric functions and other related knowledge, and deepen their understanding and mastery of junior high school mathematics knowledge. There are also some small games related to Pythagorean theorem for students to practice. Here are a few examples:
1. "Pythagorean Theorem" puzzle game: This game requires players to find triangles that conform to Pythagorean Theorem in a given graph. This can help students better understand Pythagorean theorem and consolidate related concepts.
2. "Pythagorean Theorem" jigsaw puzzle: This game requires players to put triangles together in the correct order in order to construct triangles that conform to Pythagorean Theorem. This can help students deepen their understanding of Pythagorean theorem and improve their spatial cognitive ability.
3. "Pythagorean Theorem" triangle game: This game requires players to use Pythagorean Theorem to calculate a certain angle or side length of a given triangle. This can help students practice the application ability of Pythagorean theorem and improve their mathematical calculation skills.
These games can not only help students master Pythagorean theorem better, but also make learning more interesting and vivid.