.What is mathematics?

Mathematics is a science that studies spatial forms and quantitative relationships in the real world. It is divided into elementary mathematics and advanced mathematics. It plays an important role in scientific development and modern life production. It is widely used and is an indispensable basic tool for learning and researching modern science and technology.

The introduction of mathematical symbols?

In one sentence, mathematics is an infinite science.

The introduction of mathematical symbols?

In one sentence, mathematics is an infinite science.

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2. Characteristics of mathematics

Rigorousness

Mathematical language is also difficult for beginners. How to make these words have a more precise meaning than everyday language. Also To the annoyance of beginners, words such as open and field have special meanings in mathematics. Mathematical terminology also includes terms such as isomorphism and integrability. But there are reasons for using these special symbols and terms: Mathematics requires more precision than everyday language. Mathematicians call this requirement for linguistic and logical precision "rigor"

Rigour is an important and fundamental part of mathematical proofs. Mathematicians hope Their theorems are deduced from the axioms through systematic reasoning. This is to avoid wrong "theorems" based on unreliable intuition, which has occurred in many examples in history. It is expected in mathematics The degree of rigor varied over time: the Greeks expected careful arguments, but in Newton's time the methods used were less rigorous. Newton's definitions to solve the problem were only revisited with careful analysis in the 19th century and formal proofs. Today, mathematicians continue to debate the rigor of computer-aided proofs. When a large number of measurements are difficult to verify, it is difficult to say that the proofs are effectively rigorous. Because of the differences in the times, it also erases A lot of knowledge has been lost, but mathematics will never be erased and will always spread wisdom.

3. Application of mathematics

Life is inseparable from mathematics, mathematics is inseparable from life, and mathematics knowledge is the source of For life but above life, and ultimately serve life. Indeed, the purpose of learning mathematics is to apply it in real life. Mathematics is what people use to solve practical problems. In fact, mathematical problems arise in life. For example: addition, subtraction, multiplication and division are needed when going out to buy things, floor plans are used when building a house, etc. There are countless such questions, and this knowledge is generated in life. In mathematics teaching, we must give students opportunities for practical activities, guide students to consciously use mathematical knowledge, use mathematical knowledge and methods to analyze and solve practical problems in life, and mathematicalize life problems, so that students can have a deeper understanding of mathematics. application value.

The "Course Standards" emphasize starting from students' existing life experiences and allowing students to personally experience the process of abstracting practical problems into mathematical models and explaining and applying them. In fact, most of the teaching content of primary school mathematics can be related to students' real life. Teachers must find the "fitting point" between the content of each lesson and the students' real life, so as to mobilize students' interest in learning mathematics and their enthusiasm to participate in learning. In teaching, the teacher's responsibility is not only to induce students' desire to solve real-life problems, but also to enable students to learn to select the necessary conditions and information from many conditions and information to solve real-life problems and experience the application of mathematics to solve practical problems. success and happiness.

1. Solve problems in life and apply what you have learned

The new curriculum standards point out that students must “realize that real life contains a large amount of mathematical information. Mathematics It has a wide range of applications in the real world. When faced with practical problems, you can actively try to use the knowledge and methods you have learned from a mathematical perspective to find strategies to solve problems..." We often encounter this situation. Students still don’t understand a topic after teaching it for a long time. If the teacher connects this problem with real life, students can solve it immediately. Therefore, teachers should think about how to make full use of students' existing life experience and guide students to apply mathematical knowledge to reality, so as to realize the application value of mathematics in life.

2. Create life situations and stimulate interest in learning

Word questions come from life, and each word question can always find its blueprint in life. Therefore, if we combine application problems with real life situations in teaching application questions, we can stimulate students' interest in learning.

3. Restore the essence of life and cultivate students’ thinking

While paying attention to the daily life of mathematics, each of our teachers must fully realize that the essence of mathematics teaching is to develop students’ thinking. . Life-oriented does not mean simplification of mathematical knowledge. On the contrary, restoring mathematics to the essence of life is more conducive to the development of students' thinking.

I once saw a report: A professor asked a group of foreign students: "How many times do the minute and hour hands overlap between 12 o'clock and 1 o'clock?" Those students took off their watches from their wrists , and began to move the hands; and when the professor told the same problem to Chinese students, the students would use mathematical formulas to calculate. The comment said that it can be seen that Chinese students’ mathematical knowledge is transferred from books to their brains and cannot be applied flexibly. They rarely think of learning, applying and mastering mathematical knowledge in real life.

4. Realize life needs and promote subject development

From the perspective of educational psychology, there are five different levels of needs in life. The highest need is the need for self-realization. A decision-making need. Once we connect application problem teaching with life in teaching, students' potential needs will become even stronger.

Five.