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What is the vertical target system of preschool children's mathematics education?
First, the basis of preschool children's mathematics education objectives

When determining the goal of preschool children's mathematics education, we should not only consider the requirements of contemporary society and the overall goal of preschool children's education for preschool children's mathematics education; At the same time, we should also study the characteristics and level of children's physical and mental development, as well as the process, methods and laws of children's transition from the current development stage to the next development stage; Study the characteristics of preschool children's mathematics education itself. Only by comprehensively studying these factors and properly handling the relationship between them can we put forward a more suitable goal for preschool children's mathematics education and guide the practice of preschool children's mathematics education.

Children's development

Studying children and grasping their development needs and laws can enable educators to obtain useful information for setting educational goals. For example, the development of children's number concept and initial logical thinking has the characteristics of gradual transition from concrete operation level to abstract level, which can inspire educators to take this as the basis and consider: "Help children gain perceptual experience about the number, shape, space and time of objects and gradually form some basic mathematical concepts."

(2) Social demand

Education is always restricted by a certain social, cultural and historical background, and the political, economic, scientific and cultural factors of a country constitute the objective basis for the formulation of educational goals. The demand of society, the present situation and trend of social development and the requirement of talent training will naturally affect the formulation of mathematics education goals for preschool children.

(C) the characteristics of the discipline

The abstraction and logic of mathematics itself determine that mathematics education is an important way to promote children's thinking and quality development. It is irreplaceable by other disciplines. As Kalinin, an educator in the former Soviet Union, said, "Mathematics is the gymnastics of thinking". Refers to the unique role of mathematics in developing children's thinking.

Therefore, the development of children's thinking should be regarded as an important goal of children's mathematics education when formulating the goals of preschool children's mathematics education.

(D) Learning psychological theory

Piaget, a representative of cognitive psychology school, believes that children's thinking comes from action, and the logic at the abstract level comes from the generalization and internalization of the logic at the action level. For children in the early stage of operation, learning mathematics helps them to better transition to the specific operational level. His principle comes from experimental research and has been repeatedly tested in practice, which makes "getting some basic concepts of numbers through children's own perception and operation" one of the goals of preschool children's mathematics education.