1, a beautiful mathematics teaching language should grasp one word-accuracy.
Mathematics teachers should accurately describe definitions, theorems and axioms, and not let students have doubts and misunderstandings. For example, "corresponding angle is equal" and "corresponding angle is equal", and "tangent" and "tangent length" are two completely different concepts; Another example is "the diameter of the bisector is perpendicular to the chord" and "all prime numbers are odd numbers", which lacks accuracy.
Teaching must be carried out with scientific mathematical terms, concepts, properties and theorems. Cannot be expressed in dialect or dialect. For example, it is not accurate to say "the midpoint of a line segment" as "the point in the middle of a line segment". If the teacher's language is inaccurate and irregular, students will have a vague understanding of mathematics knowledge.
2. A beautiful mathematics teaching language should grasp one word-rigor.
The rigor of mathematical logic is not only the characteristic of mathematics, but also the goal pursued by mathematics. Engels said: "Mathematics takes some completely realistic materials as its object, but completely abandons its specific content and essential characteristics when examining an object." Although the mathematical concept itself, its conclusions and methods reflect the real world, it is still studied in a pure form.
3. Beautiful mathematics teaching language should also grasp one word-emotion.
Mathematics teaching language should be kind and affectionate. Mathematical language is the carrier for teachers and students to transmit and exchange thoughts and feelings. A kind and touching teaching language can best keep students' positive and comfortable learning mood and arouse their enthusiasm, thus generating power that cannot be underestimated.
Whether imparting knowledge or treating students, teachers should be kind and affectionate in teaching. Many experts also believe that intelligence comes from emotion, and emotion dominates intelligence. For people's success, EQ is more positive than the usual mental activities and the improvement of intelligence level, which is irreplaceable by any other language.
Secondly, the harmony of mathematics is the unity of simplicity of presentation and universality of application.
The characteristics of mathematics determine the simplicity of mathematical form and the universality of application. Simplicity is the characteristic of beauty and the requirement of mathematics. Mathematical concepts are abstracted from natural phenomena all over the world, and then expressed in simple mathematical forms, and then more phenomena are explained in turn, which is the embodiment of the beauty of mathematics.
There are so many triangles in the world, and the forms are unimaginable. However, the triangle area formula 12ah(a is the base and h is the height on the base) is applicable to any triangle, and the area of all polygons can be deduced. How simple the form is, how widely it is used.
Thirdly, the beauty of harmony in mathematics is also reflected in the unity of symmetry and harmony.
Symmetry is the proportion and adaptation between the parts of the whole, and harmony is coordination. Symmetry and harmony are the requirements of formal beauty, giving people a perfect and symmetrical aesthetic feeling. Because nature itself is symmetrical, harmonious and regular, it is mathematically embodied as mathematical symmetry and harmony.
Symmetry and harmony can be seen everywhere in mathematics: Euclid's Principles of Geometry in ancient Greece established a wonderful plane geometry system, which won many praises for more than 2,000 years, so that some great scientists called it "magnificent architecture".
The central symmetry, axial symmetry and mirror symmetry in geometry can give people a sense of comfort and beauty and show symmetry. Of course, there are many, such as the images of functions and inverse functions, the symmetry of the straight line y=x and so on.
In a word, mathematics language is a special language, which is concise, generalized, accurate, full of visualization and idealization, which requires mathematics teachers to grasp the accuracy, rigor, humor and emotion of teaching language, and make simplicity and universality, symmetry and harmony of application harmonious and unified in the education process.