What is the basic idea of mathematics? Answer: \ x0d \ 1. The mathematics curriculum in the compulsory education stage should be basic, universal and developmental, so that mathematics education can face all students and realize: \ x0d \- everyone can learn valuable mathematics; \ x0d \- Everyone can get the necessary mathematics; \ x0d \- Different people get different development in mathematics. \ x0d \ 2。 Mathematics is an indispensable tool for people's life, work and study, which can help people to process data, calculate, reason and prove. Mathematical models can effectively describe natural and social phenomena. Mathematics provides language, ideas and methods for other sciences, and is the foundation of all major technological developments; Mathematics plays a unique role in improving people's reasoning ability, abstract ability, imagination and creativity. Mathematics is a kind of human culture, and its content, thought, method and language are important components of modern civilization. \ x0d \ 3。 Students' mathematics learning content should be realistic, meaningful and challenging, which is conducive to students' active observation, experiment, guess, verification, reasoning and communication. Content should be presented in different ways to meet diverse learning needs. Effective mathematics learning activities cannot rely solely on imitation and memory. Hands-on practice, independent exploration and cooperative communication are important ways for students to learn mathematics. Because of the different cultural environment, family background and their own way of thinking, students' mathematics learning activities should be a lively, proactive and personalized process. \ x0d \ 4。 Mathematics teaching activities must be based on students' cognitive development level and existing knowledge and experience. Teachers should stimulate students' enthusiasm for learning, provide them with opportunities to fully engage in mathematical activities, and help them truly understand and master basic mathematical knowledge and skills, mathematical ideas and methods in the process of independent exploration and cooperative communication, so as to gain rich experience in mathematical activities. Students are the masters of mathematics learning, and teachers are the organizers, guides and collaborators of mathematics learning. \ x0d \ 5。 The main purpose of evaluation is to fully understand students' mathematics learning process, motivate students' learning and improve teachers' teaching; An evaluation system with multiple evaluation objectives and methods should be established. The evaluation of mathematics learning should not only pay attention to students' learning results, but also pay attention to their learning process; We should pay attention to students' mathematics learning level, and pay more attention to students' emotions and attitudes in mathematics activities, so as to help students know themselves and build up confidence. \ x0d \ 6。 The development of modern information technology has a great influence on the value, goal, content and the way of learning and teaching of mathematics education. The design and implementation of mathematics curriculum should attach importance to the application of modern information technology, especially the influence of calculators and computers on the contents and methods of mathematics learning, vigorously develop and provide more abundant learning resources for students, take modern information technology as a powerful tool for students to learn mathematics and solve problems, and devote themselves to changing students' learning methods, so that students are willing and have more energy to invest in realistic and exploratory mathematics activities. \x0d\3。 The study of course content emphasizes students' mathematical activities and cultivates students' sense of number, symbol, space, statistics, application and reasoning. Among them, the sense of number and space is mainly manifested in? \x0d\ A: The sense of numbers is mainly manifested in: understanding the meaning of numbers; Numbers can be expressed in many ways; Be able to grasp the relative size relationship of numbers in specific situations; Able to express and exchange information with numbers; Can choose the appropriate algorithm to solve the problem; Can estimate the result of operation and explain the rationality of the result. The concept of \x0d\ space is mainly manifested in the following aspects: geometric figures can be imagined from the shape of the object, and the shape of the object can be imagined from the geometric figures, and the geometric body can be transformed from its three views and expanded drawings; Can make three-dimensional models or draw graphics according to conditions; Can separate basic graphics from more complex graphics, and can analyze basic elements and their relationships; Can describe the movement and change of physical objects or geometric figures; Can describe the positional relationship between objects in an appropriate way; Can use graphics to describe problems vividly and use intuition to think.