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How to Cultivate Students' Geometric Reasoning Ability
Geometrical intuition mainly refers to describing and analyzing problems with figures, which is helpful to explore the thinking of solving problems, predict the results, help students understand mathematics intuitively, and plays an important role in the whole process of mathematics learning. Let's talk about how to cultivate pupils' geometric intuitive ability.

First of all, stimulate students' interest in painting in teaching.

Geometric intuition is essentially an imaginative ability developed through graphics, so it is essential for students to master certain drawing ability. In junior high school mathematics, students are young and have low education level. Children love to express complicated people and things in life with simple pictures. Therefore, when teaching mathematical operations, I pay attention to let children express their understanding with pictures. On the one hand, cultivate students' listening ability, stimulate children's interest in painting, seize teaching opportunities to let students show their works, express their ideas, praise and encourage students in time, and stimulate their enthusiasm for painting.

Secondly, develop good painting habits in teaching.

Geometric intuition is concrete, which is closely related to many important mathematical contents, such as the understanding of fractions and negative numbers. As teachers, we should realize its importance ideologically and regard it as the most basic ability to cultivate students. In daily teaching, students should be helped to develop good painting habits from an early age.

In teaching, students should really appreciate the benefits of drawing in understanding concepts and seeking solutions through various ways and means. Students are required to draw pictures as much as possible when solving problems, and the relatively abstract thinking objects are "graphical" to make the mathematical process as intuitive as possible, so that it is easy to start thinking in images. For example, when teaching students the concept of time, how many times is 6 2? Let the students use their own figures to represent 6 (maybe draw 6 circles, or 6 triangles, or 6 sticks), and then every 2 circles. Students can intuitively see that there are three 2' s in 6, that is, 6 is three times of 2. It is much easier to understand the abstract concept of multiple by establishing a concrete image representation. In the future, it will be very helpful for students to learn the complicated problem of "sum times and difference times".

Third, the combination of numbers and shapes, learning painting skills.

The combination of numbers and shapes plays an obvious and profound role in cultivating students' geometric intuitive ability. However, in the practical teaching of the combination of numbers and shapes, many students often make mistakes because of inaccurate drawing, incomplete discussion and one-sided understanding. Therefore, students should master some drawing skills in teaching. For example, when teaching the application problems of fractions, students often make mistakes in solving problems because of drawing lines incorrectly. Because the fraction problem is more complex and abstract than the integer problem, how to change the abstraction into intuition in teaching is the key to break through the difficulties.

Finally, the model and multimedia information technology are used to assist teaching.

This model can make students directly contact with geometry knowledge, which is intuitive and effective. Multimedia technology shows students a rich and colorful graphic world, provides intuitive demonstration and display, and can intuitively show the changes of graphics, thus solving the evolution process of students' geometric intuition from intuition to abstraction and expanding their spatial vision. For example, when teaching "The Understanding of Cylinders", teachers can directly show potato chip packaging boxes, water cups and other physical objects, giving students a strong visual impact, and the basic features are clear at a glance.