First, the nature of high school mathematics curriculum:
Mathematics is a science that studies quantitative relations and spatial forms. Mathematics education undertakes the fundamental task of educating people and developing quality education. Mathematics course in senior high school is the main course of ordinary senior high school after the compulsory education stage, which is basic, selective and developmental.
Second, the core literacy of mathematics:
Core literacy of mathematics curriculum: The new curriculum standard puts forward for the first time that the core literacy of mathematics is different from other disciplines, including: mathematical abstraction, logical reasoning, mathematical modeling, intuitive imagination, mathematical operation and data analysis;
1, mathematical abstraction: mathematical abstraction refers to the abstraction of quantitative relations and spatial forms to obtain mathematical research objects. Mathematical abstraction is the basic idea of mathematics, an important basis for the formation of rational thinking, which reflects the essential characteristics of mathematics and runs through the whole process of its emergence, development and application.
Mathematical abstraction is mainly manifested in obtaining mathematical concepts and rules, putting forward mathematical propositions and models, forming mathematical methods and ideas, and understanding mathematical structures and systems.
2. Logical reasoning: Logical reasoning refers to the completion of deducing other propositions from some facts and propositions according to rules. Logical reasoning is mainly manifested in mastering the basic forms and rules of reasoning, putting forward propositions when problems are found, exploring and expressing the argumentation process, understanding the proposition system, and expressing and communicating logically.
3. Mathematical modeling: Mathematical modeling is an abstract realistic problem, which is expressed by mathematical language and solved by mathematical method. Mathematical modeling process: find problems, put forward problems, analyze problems, establish models, determine parameters, calculate solutions, test results, improve models, and finally solve practical problems.
Mathematical models are mainly manifested as finding and raising problems, establishing and solving models, testing and perfecting models, and analyzing and solving problems.