Why is there such a subject as mathematics extra?

Because life needs math.

Mathematics is a science that studies "quantitative relations" and "spatial forms".

Mathematics is a general means for humans to strictly describe the abstract structure and pattern of things, and can be applied to any problem in the real world, and all mathematical objects are inherently artificially defined. In this sense, mathematics belongs to the formal sciences, not the natural sciences. Different mathematicians and philosophers have a range of opinions on the exact scope and definition of mathematics.

Mathematical structure. Many mathematical objects such as numbers, functions, geometry, etc., reflect the internal structure of the successive operations or relations in which they are defined. Mathematics is the study of the properties of these structures, such as:

Number theory is the study of how integers are represented in arithmetic operations. In addition, things often happen that different structures have similar properties, which makes it possible to further abstract them.

Then it becomes possible to describe the state of a class of structures with axioms, and what needs to be studied is to find the structures that satisfy these axioms in all the structures. Thus, we can learn about groups, rings, domains, and other abstract systems. Taking these studies (through structures defined by algebraic operations) can form the field of abstract algebra.

The word "mathematics" comes from the Greek word and literally means learning, science. It originated in the early days of human production, and the refinement of its basic concepts appeared as early as ancient Egypt, Mesopotamia, and ancient India.

In ancient China, mathematics was called arithmetic, also known as arithmetic, and finally changed to mathematics Arithmetic in ancient China was one of the six arts (called "number" in the six arts).

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Yes, but there are very few people who like it, because mathematics involves calculations, formulas, and graphs, which are very abstract and difficult to understand.

Definitely. Like Hua Luogeng and others. Maybe you can also try to go to the mysteries of mathematics and try to like mathematics.

Yes, the sense of accomplishment that comes from answering the questions will drive motivation to learn.

Mathematics is a measurable property of anything, i.e., a mathematical property is the most basic property of a thing. The existence of measurable attributes is independent of the parameter, but its result depends on the choice of the parameter. For example:

Time, whether measured in days, months, years, hours, minutes, and seconds, will always have measurable properties, but accuracy depends on these parameters. Mathematics is the study of concepts such as quantity, structure, change, and spatial models. Through the use of abstraction and logical reasoning, it is generated from counting, calculating, measuring, and observing the shape and motion of objects.

Mathematicians have expanded these concepts in order to formulate new conjectures and to establish rigorously deduced truths from appropriately selected axioms and definitions. Mathematics is the science that studies quantitative relationships and spatial forms in the real world. To put it simply, it is the science of numbers and shapes.

Due to the demands of life and labor, even the most primitive peoples knew simple counting, and developed from counting with fingers or objects to counting with numbers.

When it comes to the subjects that students fear the most, mathematics is often considered one of them. There are many reasons why mathematics is considered a daunting subject. Here are some of the main reasons:

1.Abstraction: Mathematical concepts and theorems tend to be highly abstract, which makes them more challenging to understand and master. Students need to have certain logical thinking and abstract thinking skills in order to learn and apply mathematics effectively.

2.Rigorousness: Mathematics requires rigorous logical reasoning and proof, which puts forward higher requirements for students' thinking ability and carefulness.

When solving math problems, a small mistake can lead to an error in the entire solution, so students need to maintain a high level of concentration and caution.

3.Practical auspiciousness: Mathematics is not only theoretical knowledge, but also requires a lot of practical exercises to consolidate and improve. Students spend a lot of time and effort completing after-class exercises and exams, which can lead to resistance to math skills.

Would you be surprised if someone told you that math is not science? You may think that the development of various sciences, such as physics and chemistry, is inseparable from mathematics; Whether scientists are writing experimental reports or discovering the laws of nature, they also use mathematics to a greater or lesser extent.

So why is mathematics being left out of science? Science, according to its object of study, can be divided into natural science, social science, science of mind, and philosophy and mathematics that run through these three fields. From this classification, we can see that mathematics and philosophy are listed separately, which shows that they are different from other sciences.

By "science" we mean primarily the natural sciences.

Natural science is the mystery of nature and the universe, and it is a science that explores the movement and change laws of the material world through experimental operations on materials and data collection. Although there are many theories in the natural sciences, they are empirical and concrete in nature, such as geologists studying the structure and composition of a certain rock. The study of natural science originates from the collection and collation of empirical facts, and without these basic materials, the theory of natural science is water without a source.

Mathematics, on the other hand, is different from the natural sciences in its origins. Mathematical knowledge is based on the abstract thinking of the human brain, such as making a circle on a plane with a fixed point as the center and a fixed length as the radius, which is easy to imagine in geometry, but it is impossible to find such an "ideal" circle in real life.

Of course, this is not to say that the origin of mathematics is divorced from the practice of human life, on the contrary, mathematics, like natural science, its emergence and development are closely related to the needs of real life, and it is not the utopian dream of mathematicians. It is only that the natural sciences have developed by collecting and studying empirical, material facts; Mathematics, on the other hand, requires us to transform the reality into abstract models in our minds, such as concepts such as "points", "lines", and "surfaces" in geometry, and use these abstract concepts in our minds to advance the development of research step by step.

Summary: After understanding why mathematics is not science, I believe you will have a further understanding and experience of what science is and what mathematics is.

Mainly because there is no scientific evidence to prove it, and the two are two different concepts, and it has always been shown that this is only mathematics, and science is not willing to do too much research in this area, so it has always been excluded from the door of science.

Because mathematics is a particularly strong logical thinking and is something that is known, while science is generally an exploration of the unknown, mathematics will be excluded from the door of science.

It may be that the connotation of mathematics is still very different from science, so on the whole, the two are different, and the research methods are also different.

Mathematics is the highest form of logic in philosophy and is a scientific method.

Because science does not have a language of its own, it can only express characteristics in this way. And it also looks very clear and bright using chemical formulas.

Math is relational, not science!