1. number sense mainly refers to the perception of logarithm and quantity, the relationship between quantity and quantity, and the estimation of operation results. Basic version: can read and write; Advanced version: free switching between numbers; Advanced ability: 10 object, which can be directly said at a glance.
2. The sense of quantity mainly refers to the perceptual knowledge of length, area, volume, time, quality and currency. Basic classes: the distance from kindergarten to school and the time to go to and from school; Advanced edition: describe the size, length, etc. Refers to a reasonable number of objects; Advanced ability: proficient in the decimal system of conventional units.
3. Symbol consciousness mainly refers to being able to understand and use symbols to express numbers, quantitative relations and changing laws; Knowing that symbols can be used for operation and reasoning, the conclusion is general.
4. Computing ability mainly refers to the ability to perform operations correctly according to laws and operational rules. The focus of digital operation is to understand arithmetic and master algorithms.
5. Geometrical intuition mainly refers to describing and analyzing problems with graphics. With the help of geometric intuition, complex mathematical problems can be made concise and vivid, which is helpful to explore the solution ideas and predict the results.
6. The concept of space mainly refers to abstracting geometric figures according to the characteristics of objects and imagining the actual objects, directions, positions, movements and changes described; Draw pictures according to the language description, etc.
7. Reasoning consciousness mainly refers to the initial understanding of logical reasoning process and its significance. Generally including perceptual reasoning and deductive reasoning. Rational reasoning is to infer some results from existing facts through induction and analogy. Deductive reasoning is to prove and calculate from existing facts and certain rules.
8. Data awareness mainly refers to the perception of the meaning and randomness of data. Basic class: Experience randomness through data analysis and discover laws from data. Advanced edition: topic selection, investigation, data collection, analysis and judgment, and extraction of implied information.
9. Model awareness is mainly to build a similar, specific and representative scene (environment) model to help you solve some problems more easily. The main steps of mathematical modeling: abstract mathematical problems, establish equations, inequalities, functions, etc. Use mathematical symbols to express the quantitative relationship and changing law in mathematical problems, find out the results and discuss the significance of the results.
10. Applied consciousness mainly observes things, explains phenomena and analyzes problems from the perspective of mathematics.
1 1. Innovation consciousness is based on ten core competencies.