1, can observe the real world with mathematical eyes.
Mathematics provides people with an observation way to know and explore the real world. From the mathematical point of view, we can find the quantitative relationship and spatial form from the objective phenomena in the real world, and put forward meaningful mathematical problems; Being able to abstract mathematical research objects and their attributes, and form concepts, relationships and structures; Be able to understand the mathematical principles behind natural phenomena and realize the aesthetic value of mathematics; Form curiosity and imagination about mathematics, actively participate in mathematical inquiry activities, and develop innovative consciousness.
2. Think about the real world with mathematical thinking.
Mathematics provides people with a way of thinking to understand and explain the real world. Through mathematical thinking, we can reveal the essential attributes of objective things and establish logical connections between mathematical objects and between mathematics and the real world. According to the known facts or principles, we can draw a logical conclusion and build a mathematical logic system; Able to use mathematical methods such as symbolic operation and formal reasoning to analyze and solve mathematical problems and practical problems; All kinds of information can be restored and formalized through computational thinking.
3. Being able to express the real world in mathematical language.
Mathematics provides a way for people to describe and communicate with the real world. Accurately describe natural phenomena, scientific situations, quantitative relations and spatial forms in daily life through mathematical language; Be able to establish a general mathematical model to express and solve problems in real life and other disciplines; Be able to understand the meaning and value of data, explain and predict uncertain phenomena with the analysis results of data, and form reasonable judgments or decisions; Form mathematical expression and communication ability, and cultivate application consciousness and practical ability.
Main manifestations of mathematical language
Data awareness or data concept, model awareness or model concept, and application awareness. Through the process of expressing simple quantitative relations and spatial forms in the real world with mathematical language, students can initially understand the communication mode between mathematics and the real world; Can consciously use mathematical language to express the nature, relationship and law of things in real life and other disciplines, and can explain the rationality of expression; Be able to perceive the meaning and value of data and consciously express it with real data.