Students skillfully use tree diagram to organize mathematical knowledge. Students know the shape of trees very early in their lives, and their perception of trunks, branches, leaves and branches is very clear, and it is easy to associate the logical relationship between trunks and branches and themes and sub-themes. Therefore, students use tree diagrams more often and draw better.
As shown in figure 1, it is a tree-like mind map of chapter 10 in the second volume of eighth grade mathematics published by Su Ke.
Figure 1 score tree mind map
The advantage of tree diagram is that the main branches are very clear, but it is more troublesome to draw. In order to use mind map more simply, a simpler form of mind map is studied, and it is determined to simplify the torso into simple and easy-to-draw figures such as circle, ellipse or square, as shown in Figure 2. Students simplify the trunk into a ring, paint it in different colors and draw a pointer. This is the deformation diagram of the turntable model in the second section of chapter 8 of the second volume of eighth grade mathematics of Su Ke Edition. This idea of students is not only close to textbooks, but also creative.
Figure 2: Probability Tree Mind Map
Second, the arrow or frame mind map.
Teachers often use arrows or frame mind maps when preparing lessons or combing knowledge for students. They are very concise and easy to draw. It's just that we didn't regard it as a learning method before and raised it to the theoretical level to pay attention. This kind of structure diagram is actually a very simple and easy-to-use mind map, especially suitable for classroom application. In the specific application, we should first summarize the theme of this lesson and express it with a key word. Then directly use the arrows to divide the topic into two levels, three levels and so on. It is also a common frame structure diagram, which is very simple and convenient for students to use. Many students transformed the frame structure into oval arrow diagram and fish bone arrow diagram. Figure 3 is an arrow mind map for students to sort out quadratic roots.
Fig. 3 Mind Map of Secondary Radicals
Third, physical mind mapping.
After the students opened their minds, their imagination was very rich, and they drew many physical mind maps, such as kites, butterflies, flower baskets, windmills and so on. As shown in figure 4: the flower basket is the trunk, that is, the main part. Students can clearly sort out and remember what they have learned after being crowned with various keywords. Students also like to do such sketches.
Figure 4 Special parallelogram mind map
Third, tabular mind mapping.
In mathematics teaching, we often use tables to sort out and compare knowledge, which can make students understand the differences and connections of knowledge at a glance. In fact, this can also be regarded as a mind map. Drawing mind maps with tables makes it easier for students to accept and understand. Therefore, tabular mind map is also a form that students prefer. As shown in Figure 5, students learn the inverse proportional function in chapter 1 1 of the second volume of eighth grade mathematics published by Su Ke, and draw a tabular mind map to summarize and compare the knowledge of linear function and inverse proportional function.