How Middle School Students Use Tutorial Books Correctly in Mathematics Class
At the same time, teachers should correctly guide teaching materials and make appropriate guidance and corrections according to different people, which can also guide students to develop good habits of learning mathematics. Key words: Teaching AIDS in math class cultivate thinking and ability, broaden their horizons and pay attention to guidance. With the development of market economy, people pay more and more attention to education, and more and more books outside textbooks enter the sight of students and teachers. However, mathematics textbooks only systematically introduce some mathematical concepts, formulas, theorems, their basic applications and problem-solving methods. Facing the ever-changing purpose of mathematical problems, it needs to be deepened horizontally and vertically. Especially for the middle school stage, teaching materials are particularly important. Nowadays, there are a large number of supplementary books on the market, which have become the "sunflower collection" for most teachers and students and the necessary "tools" to improve their learning. Here, I hope that this article can provide some help for teachers and students to use teaching AIDS correctly. First, the current situation and consequences of using teaching AIDS In the process of students' learning, teaching AIDS are an indispensable part. It can not only check students' understanding and mastery of basic content, but also consolidate what they have learned and cultivate students' ability to analyze and solve problems. However, with the appearance of various teaching AIDS in the market, some teachers and students have some wrong understandings of the role and application of teaching AIDS in mathematics classroom; That is, one-sided exaggeration of the role of supplementary books and simple use of supplementary materials are two extremes. Mainly in the following aspects: 1. Indiscriminate abuse of teaching materials, in a word, students are tired of coping with it, and it has no effect. 2. Break away from textbook elevation training and implement exam-oriented education to limit students' thinking. 3. divorced from real life, capture all kinds of examination questions at all levels, pursue students' high scores unilaterally, and imprison students' thoughts. In addition, some teachers take advantage of the opportunity to reduce students' burden and give up auxiliary materials completely in math class, which is even more undesirable. This auxiliary teaching material is helpful for students to learn mathematics. Teaching AIDS play an important role in the process of teachers' teaching and students' self-study. Mainly in the following aspects: 1. It is helpful to cultivate students' divergent thinking and develop their intelligence. Many topics in mathematics teaching AIDS are written by many famous teachers, which are profound and representative. They not only approached the students with textbooks, but also brought students outside the textbooks. Return some classroom time and after-school time to students, and cultivate students' self-study ability and independent inquiry ability. At the same time, it can train students' creative thinking and develop their intelligence. Divergent thinking is also called divergent thinking, radiation thinking and divergent thinking. It is a way of thinking to imagine from different directions, ways and angles, to explore various answers, and finally to solve the problem satisfactorily. Divergent thinking is the core of creative thinking. Creative thinking and divergent thinking are closely combined, and the creativity of thinking is more reflected by the degree of divergence of thinking. In order to better cultivate students' creative thinking ability, we must attach great importance to the training of divergent thinking. Through this kind of thinking, we can not only reveal the essence and internal relations of objective things, but also produce novel and unique things on this basis. For example, when solving the isosceles trapezoid problem, the textbook only gives the practice of translating one waist or one diagonal auxiliary line, which is very limited for solving the trapezoid problem. Many auxiliary materials in the class have given the methods of stretching two waists, making height and equal area deformation from different angles. These methods can solve all the problems related to trapezoid. Therefore, the auxiliary materials of mathematics class are helpful to enliven students' thinking, accumulate experience in solving problems, enlighten students' wisdom and broaden their horizons. 2. It helps to cultivate students' innovative consciousness and practical ability. Learning mathematics should closely connect with life and application, learn useful mathematics, and cultivate students' innovative consciousness and practical ability. In teaching, we should not only infiltrate knowledge into the classroom, but also extend mathematics learning from the classroom to extracurricular, so that students can cultivate innovative consciousness and improve their practical ability in the process of exploring knowledge. There is such a math problem in the supplementary materials. On a rectangular plot, if you want to set aside a part as a flower bed, and make the area of the flower bed half of the rectangular area, please give your design scheme. This problem involves students' knowledge background, life background and other aspects, which is suitable for students' existing level, can guide students into learning situations, and their thinking can be well developed and exercised. There is no specific requirement for the shape of the flower bed. Students can have a rich imagination, fully demonstrate the application of geometric figures, and design ever-changing schemes, which greatly stimulates students' interest in learning, cultivates students' ability to solve practical problems and innovate, promotes the improvement of knowledge and ability, and stimulates students' awareness of inquiry. 3. It is helpful to broaden students' horizons and improve their mathematical literacy. As a popular reading material for extracurricular mathematics (including mathematics history, mathematics learning methods, interesting mathematics and special lectures on mathematics, etc.), it is also an indispensable reading material for broadening students' mathematical horizons and developing students' mathematical thinking. ), mathematics study guide and mathematics and natural science journals for middle school students. They liberate students from abstract and virtual textbook knowledge, let them feel life, nature and society, and let them love the world, life and mathematics in contact and communication with life and the world, so as to acquire knowledge spontaneously and actively, cultivate inquiry consciousness, make students realize that mathematics is around, experience the charm of mathematics, and look at the surrounding life world with a mathematical eye. In this way, we can use modern mathematics reading materials to consolidate students' mathematical knowledge, improve students' mathematical literacy and broaden their horizons. The study of auxiliary materials in mathematics class is a bilateral activity between teachers and students, which cannot be separated from the correct guidance of teachers. I think we should mainly start from the following four aspects: 1. Correct selection of teachers should know that each student is not at the same level, not * * *, and should know what kind of information students need at which level. Guide students to choose suitable counseling books according to their own needs. It can't be too difficult or too simple for every student. Too difficult, it will make students lose interest in learning; If it is too simple, it will not achieve the role of training thinking. In addition, the amount of supplementary homework should not be too much, reflecting the spirit of "intensive speaking and more practice". It is not appropriate to engage in naval warfare. Students' energy and study time are limited, so we should put the limited study time and energy on creative typical topics. This kind of training is not a rigid mechanical copy, nor a solid exam-oriented education, but is completed in large-scale activities between teachers and students. 2. Instruct students to explore "teaching reference" as "learning reference" in the process of self-study, and basically master basic knowledge and skills. Focus on some typical topics with strong comprehensive ability, relatively systematic and unique opinions; But through independent thinking and cooperative research, we can't solve the doubts, so we need teachers to give appropriate guidance. 3. Face-to-face correction of students' supplementary homework should be based on careful correction and evaluation, for all students, check for missing parts and sum up experience. Generally, face-to-face interviews, individual lectures and standard tests are adopted. Characterized by decentralized counseling, supplemented by centralized teaching; Teaching methods mainly focus on students' self-correction, supplemented by teachers' guidance; Provide special counseling to individual students who are particularly poor in a certain aspect. We should affirm and praise students' innovative problem-solving methods. Let them be satisfied with their success and improve their self-confidence. 4. Carefully refine the corrected homework, especially "common diseases" and "frequently-occurring diseases", so that students can develop the habit of reflection after solving problems. Reflect on your own thinking process, knowledge points and problem-solving skills, the advantages and disadvantages of various solutions, and the vertical and horizontal relations of various methods. And summed up the mathematical thinking methods it used, grouped the topics with similar thinking methods into a group, and constantly refined and deepened them, so as to draw inferences from others. Thus gradually learn to observe, experiment, analyze, guess, induce, analogy, association and other ways of thinking, take the initiative to find problems and ask questions. In a word, the learning process of auxiliary materials in mathematics class is a positive thinking process, and teachers should give correct guidance so that students can learn clearly and gain something. And a good teaching aid is equivalent to a good teacher. Students should read more mathematical materials, do more in-depth and representative mathematical exercises, and give full play to the auxiliary role of teaching materials. It not only consolidates the mathematical knowledge learned, but also develops the intelligence and broadens the horizon, thus improving one's own mathematical accomplishment.