Lovely picture appreciation of mathematical manuscripts; Mathematical manuscripts: a way to learn mathematics well.
First of all, ideologically, we should cultivate students' mathematical rigor. There are often many junior one students who don't pay attention to the rigor of mathematics and think that finding the correct answer is enough, whether it is calculation or reasoning process. Over time, students have developed a bad habit, which has a bad influence on their future mathematics study. Stiffness is the basic feature of mathematical theory, which requires that the expression of mathematical conclusions must be accurate and concise, and the reasoning and argumentation of conclusions should be well-founded step by step and meet the reasoning requirements everywhere. Considering students' understanding ability and characteristics, we can appropriately reduce the rigor of middle school mathematics teaching content, but we must ensure that students have a correct understanding and mastery of the corresponding teaching content. Gradually cultivate and develop students' logical thinking ability.
Secondly, in form, we should cultivate students' abstract thinking. The content of primary school mathematics textbooks is popular and concrete, while the content of junior high school mathematics learning is abstract. It studies the transformation of letters, equations and figures. Pay attention to both calculation and simple proof, which increases the difficulty compared with primary school. In primary schools, due to the lack of teaching content, there are plenty of class hours. Therefore, the class capacity is small, the progress is slow, and there is enough time to repeatedly emphasize the important and difficult contents. The teacher has time to demonstrate the solutions of various exercises. Students also have enough time to consolidate. Due to the increase of knowledge points, many subjects, increased flexibility, large class capacity and rapid progress in junior high school. This also makes freshmen unable to adapt to junior high school mathematics learning, so cultivating students' abstract thinking is conducive to adapting to junior high school mathematics learning more quickly.
Thirdly, in learning methods, we should cultivate students' ability to draw inferences from others. In primary school, teachers talk in detail and practice more. In the exam, students can generally get good grades as long as they remember the concepts, formulas and example types mentioned by the teacher. Therefore, students are used to turning around the teacher, not paying attention to independent thinking and law induction. In junior high school, because there is too much content and too little time, the teacher can't talk about it in detail, but can only talk about some specific and typical topics. Therefore, students are required to be diligent in thinking, be good at summing up laws and master teaching thinking methods. However, for freshmen, the learning methods of primary schools are still used, and the study habits of preview, review, summary and self-adjustment have not yet been developed, which is obviously not conducive to the formation of good learning methods and the improvement of learning quality.
Finally, I think the first teacher in learning is interest. Some people think that children's interest in learning should be cultivated first. In fact, I think that as long as children can master the correct learning methods, learning is a relaxing and enjoyable thing, and they will naturally be interested, so we still have to do the first three tasks well, which is the most important thing.
Contents of Mathematical Manuscripts: Famous sayings of Foreign Mathematical Celebrities
Everything counts. Pythagoras
Geometry has no king. -Euclid
Mathematics is the language that God uses to write the universe. Galileo
I'm determined to give up just abstract geometry. In other words, I don't think about the problems that are only used to practice my thoughts. I did this to study another kind of geometry, that is, geometry aimed at explaining natural phenomena. -Descartes * * * René 1596- 1650 * *
Mathematicians try to find a certain order of prime sequence on this day. We have reason to believe that this is a mystery, and the human mind can never penetrate it. -Euler
Some beautiful theorems in mathematics have such characteristics: they can be easily summarized from facts, but their proofs are extremely hidden. Mathematics is the king of science. Gauss
This is the advantage of a well-structured language, and its simplified symbols are usually the source of abstruse theories. -Laplace * * * Pierre-Simon Laplace 1749- 1827 * * *
It would be a serious mistake to think that it is only necessary in geometric proof or sensory proof. -Cauchy * * augustin louis cauchy 1789- 1857 * * *
The essence of mathematics lies in freedom. -Cantor * * Georg Ferdinand Ludwig Philippe Cantor1845-1918 * * *
Music can inspire or soothe feelings, painting can please people, poetry can touch people's hearts, philosophy can make people gain wisdom, science can improve material life, but mathematics can give all of the above. -Klein * * * Christian Felix Klein 1849- 1925 * * *
As long as a branch of science can raise a large number of questions, it is full of vitality, and no questions indicate the termination or decline of independent development. -Hilbert * * * David Hilbert 1862- 1943 * * *
The problem is the core of mathematics. Paul halmos * * *
Time is a constant, but it is a' variable' for diligent people. People who calculate time by "minutes" spend 59 times more time than those who calculate time by "hours". -Rybakov.