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Effective ways to cultivate autonomous learning ability
1. Improve the awareness of autonomous learning with preview.

Preview is not only an important link in primary school mathematics teaching, but also an effective means to cultivate students' autonomous learning ability. From the teaching level, preview can greatly improve the teaching effect; From the learning level, preview is a shallow preliminary analysis. Through preview work, we can have a preliminary understanding of the content to be studied and understand the doubts in preview in formal study. For example, it is not difficult to find some basic laws when studying the related contents of discovery laws. In the preview, most students can get the proper rules of the examples. At this time, teachers need to guide students to focus on exploring deep-seated laws, find out the universally applicable laws behind individual cases, and at the same time, they can guide students to broaden their horizons, turn from courses to life, and turn from what they have learned to finding laws.

2. Step-by-step guidance to improve self-study ability.

In the process of mathematics teaching in modern primary schools, teachers are important guides for students' learning. They need to guide students to constantly discover, analyze and solve problems, which will not only help students to deeply remember what they have learned, but also effectively cultivate their autonomous learning ability. For example, when learning the related content of fractional multiplication, the teacher can first guide the students to recall the related content of integer multiplication they have learned before, let the students talk about the law of integer multiplication, and then try to calculate and do some simple fractional multiplication problems with the thinking of integer multiplication, such as 5.9×5. Because it is not difficult to calculate, all the students can calculate the correct answer smoothly. After that, the teacher needs to increase the difficulty and guide the students to calculate 0.28x0.09, 0.89x0. 18, etc. Let the students discuss the determination of decimal places and let them finish this lesson smoothly.

3. Set up inquiry activities skillfully to improve the consciousness of independent thinking.

Mathematics is a very active subject for students. In the specific teaching process, teachers should be good at designing interesting inquiry activities. On the one hand, they can cultivate and improve students' independent thinking consciousness and form the habit of expanding learning. On the other hand, it can make students feel the connection between mathematics and life and improve their awareness of applying what they have learned. For example, when learning the knowledge of circle, after learning the knowledge of diameter and radius in this lesson, the teacher should design interesting exploration activities for students: how many diameters and radii can be drawn for the next circle? Is there any difference between these diameters and radius lengths? The graph of a circle has many unique characteristics. What's the difference between it and a straight graph? How should it be applied? Is there a phenomenon of using the characteristics of circles in life? After these questions are put forward, the teacher needs to divide the class into different groups and analyze and discuss each question separately. I believe this interesting exploration activity can not only create an active classroom atmosphere for students, but also better cultivate and improve students' independent thinking ability and lay a solid foundation for the continuous improvement of students' core literacy in mathematics.