The ancient Greek mathematician Proch Lars pointed out: "Where there are numbers, there is beauty." In primary school mathematics teaching, it is not difficult to find the important characteristics of mathematics as long as you dig a little.
1, beauty of simplicity and dexterity. The beauty of simplicity and dexterity can be seen everywhere in mathematics. For example, Arabic numeral symbols, which are popular in the world today, can be said to be the most concise words recognized by the world. Numbers and formulas written in this language can not only be recognized by children all over the world, but also have the aesthetic feeling that an infinite number can be expressed with 10 limited symbols. This is like drawing many colorful pictures with three primary colors, and composing various charming movements with seven notes. How amazingly simple and beautiful! Another example is the Gaussian problem widely circulated among students:1+2+3 ...+98+99+100 = (1+100)+(2+99) ...+(50+5)
2. The beauty of symmetry and harmony. In primary school mathematics, the beauty of symmetry and harmony can be seen everywhere, and isosceles triangles, squares and circles in simple geometric figures are intuitive and simple examples with symmetrical beauty. The beauty of symmetry is not only manifested in some operations and tables. If the average score is harmonious and symmetrical. A preliminary understanding of music score can guide students to understand music score through the image thinking caused by the harmonious beauty of graphic average score. On the contrary, any score will produce disharmony and asymmetry, which in turn will strengthen the concept of score from the opposite side and let students further understand the meaning of the concept of average score.
3. Deep and rich inner beauty. The new curriculum standard points out that mathematics, as a universally applicable technology, helps people to collect and sort out descriptive information, build models, solve problems and directly create value for society. Mathematics not only helps people to better explore the laws of the objective world, but also provides an effective and simple means for people to exchange information. Mathematics is a process that people gradually abstract and generalize, form methods and theories and apply them on the basis of qualitative grasp and description of the objective world. This process is full of exploration and creation, observation, experiment, simulation, thinking and adjustment. Now it has become an important strategy for people to develop and apply mathematics. It is precisely because of the above characteristics that this inner beauty in mathematics is formed. This kind of beauty in mathematics is not expressed by image language such as color, line and melody, but by abstracting the laws of nature into some concepts, laws or formulas, and forming a perfect image of the real world and ideal space through deduction. For example, in fractional operation, due to the establishment of reciprocal, division can be transformed into multiplication, and multiplication can be transformed into division, and the contradiction of multiplication and division has reached dialectical unity, which fully embodies the inherent beauty of mathematics. The inner beauty in mathematics lies not only in itself, but more importantly, it shows people's wisdom, will and talent in mathematical creation activities. When we see students' unswerving pursuit in mathematics learning, isn't this a true portrayal of the beauty of mathematics?