The close relationship between graphics and mathematical concepts
The core of the idea of combining numbers with shapes is to closely link figures with mathematical concepts. In mathematics education, graphics can help students understand and master mathematical concepts more intuitively, such as the image of functions and the properties of geometric graphics. At the same time, through graphics, mathematical concepts can be more visualized and concrete, and it is easier for students to understand and remember.
Diversity of graphics
In the idea of combining numbers with shapes, the diversity of graphics is very important. Different types of graphics can help students look at and understand mathematical concepts from different angles. For example, when learning a function, you can express the nature and changing law of the function through different types of graphs such as straight line graph, line graph and curve graph. When learning geometry, we can present geometric concepts and problems through different types of graphics, such as plan, stereogram and animation, to help students understand and master it more deeply.
The combination of graphics and calculation
The essence of the idea of combining numbers with shapes is to combine figures with calculations. In mathematics education, graphics can help students understand and master mathematical concepts more intuitively, but this does not mean that graphics can completely replace calculation. Graphics and calculation should complement each other. Students need to understand and master mathematical concepts through graphics, and also need to further understand and apply mathematical concepts through calculation.
Relationship between graphics and practical problems
The ultimate goal of the combination of numbers and shapes is to let students apply mathematical concepts and methods to practical problems. In mathematics education, students should be guided to understand and solve practical problems through graphics. For example, when studying statistics, we can show the distribution and law of data through graphics to help students better analyze and solve practical problems.
In a word, the idea of number and shape is a teaching method and thought that closely links the concepts of shape and mathematics. In mathematics education, we should pay attention to the diversity of graphics, the combination of graphics and calculation, and the connection between graphics and practical problems, so that students can understand and master mathematical concepts more intuitively and concretely, and improve the effectiveness and interest of mathematics learning.