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What is the standard of a good math class?
Since the new curriculum reform, the majority of mathematics teachers have been concerned and troubled. I struggled to find the answer. Although "many people are looking for him", I repeatedly missed the "dim light". This year, through my study, I finally got a better understanding of the standard of a good math class. Let's talk about our feelings and experiences. 1. Pay attention to students and face all. Class teaching system is characterized by unified collective teaching, emphasizing the consistency of teaching requirements, teaching content, teaching progress and teaching test. It is based on the assumption that the knowledge base and learning ability of the whole class are the same, so it is easy to "cut across the board" in teaching. And a good class should first be really oriented to all students, so that every student can get the greatest possible development on the original basis. Facing all students means acknowledging differences and teaching students in accordance with their aptitude. Students' cultural environment, family background and their own way of thinking restrict the learning results, and the resulting differences will lead different students to show different learning tendencies in mathematics. Admitting students' differences doesn't mean "filling the gap", but at the same time, we should devote ourselves to the development of most middle-level students, and at the same time let those outstanding students who have spare capacity in mathematics stand out, so that those students who have difficulties in learning can gain something and meet the basic requirements. To truly face all students, it is necessary to change the single classroom communication mode between teachers and students or between teachers and students according to the characteristics of teaching content and the reality of class students, and form a three-dimensional structure of multi-directional communication and multilateral interaction between teachers and students; We should effectively adopt active and exploratory learning methods, and play the role of "learning with the same body" through cooperation, discussion and exchange; On the practical level, "the top is not capped, and the bottom is guaranteed"; Special policies should be given to some special students (excellent students or students with learning difficulties); We should make the classroom a stage for every student to give full play to his ability. 2. Pay attention to the process and learn through activities. "Mathematics is a process in which people gradually abstract, generalize, form methods and theories and apply them on the basis of qualitative grasp and quantitative description of the objective world, and it is full of exploration and creation" (quoted from the Draft for Comment on National Mathematics Curriculum Standards). Students' mathematics learning process can not only accept ready-made mathematics knowledge, but also actively construct it on the basis of students' existing knowledge and experience. When talking about the topic of "paying attention to students' learning process", Dr. Lu Li Yong said: "Many things are difficult for teachers to teach, and it is up to students to understand in activities. Only when students actively participate in learning activities can they learn effectively. "Therefore, in a good math class, teachers should pay close attention to students' learning process, show students the process of knowledge occurrence and development, guide students to participate in the formation of concepts and laws, and expose students' thinking process of learning knowledge. Specifically, in teaching, we should grasp the connection point between old and new knowledge, help students acquire the necessary experience and preparatory knowledge for learning new knowledge from their life experience and existing knowledge background, provide a cognitive fixed point for learning new knowledge, and improve the availability of suitable concepts in learners' cognitive structure; To inspire students to find the growing point of new knowledge from the original cognitive structure is not only the basis for learning new knowledge, but also how much they already know about the new knowledge to learn, so as to determine the starting point of learning new knowledge; It is necessary to highlight the differences between old and new knowledge, find contradictions in comparison, trigger cognitive conflicts, make students reach an "angry" state, create scenarios for learning new knowledge, stimulate learning interest, maintain learning motivation, and help students construct the meaning of what they have learned at present. Pay attention to students' learning process, provide them with sufficient opportunities to engage in mathematical activities and exchanges, and help them truly understand and master basic mathematical knowledge and skills, mathematical ideas and methods in the process of independent exploration. In this process, let students experience what they can learn and never teach; Let the students do what they can, and never do it for him. Let the students speak for themselves and never speak for them. Create more thinking time, more activity space, more opportunities for expression and more successful enjoyment for students, and truly "students are the masters of mathematics learning, and teachers are the organizers, guides and collaborators of mathematics learning." 3. Pay attention to application and combine learning with application. Mathematics is a highly applied subject, and its application has penetrated into all aspects of society. Therefore, mathematics teaching should attach importance to the establishment of mathematical model and the application of mathematics in real life. A good class should not only let students construct the meaning of knowledge, but also let them know the source and practical application of knowledge, so that students can initially learn to use the mathematical knowledge and methods they have learned to solve some simple practical problems. On the one hand, the teaching of a lot of knowledge in mathematics textbooks is conducive to cultivating students' application consciousness, especially the study of preliminary geometry knowledge, statistical knowledge and some application problems, which are all based on reality and sorted into mathematical problems through analysis; On the other hand, due to the limited capacity of textbooks, many students' familiar and favorite life stories failed to enter textbooks. Therefore, teachers should deal with the relationship between mathematics learning and application, pay attention to the combination of learning and application, and further understand and appreciate the application value of mathematics. 4. Pay attention to life and development. A good math class should focus on students' all-round development, and create a lively, democratic and harmonious classroom atmosphere in the teaching process. Whether it is the introduction of the classroom, the expansion of new knowledge, the acquisition of conclusions, the formation of skills, the development of emotions, and the display of personality, students' attention can be tightly attracted to the classroom. It is necessary to create some thinking, exploratory, ideological and interesting problem scenarios and task objectives, so that students can actively engage in mathematical activities such as observation, experiment, guessing, verification, reasoning and communication, and effectively realize mutual assistance and interaction between teachers and students. We should fully tap the formal beauty and intrinsic beauty of mathematics, embody the cultural value and educational function of mathematics, and let students feel relaxed, happy and successful in the process of learning mathematics, so that every student can experience the pleasure of learning mathematics and enjoy the happiness of success. Classroom teaching under the new curriculum standard has entered a new stage, and its important goal is to cultivate students' innovative consciousness and practical ability. Therefore, in every good class, we should not pursue watertight teaching skills, seamless teaching links and meticulous details, but should face all students under the guidance of advanced educational concepts, pay attention to the learning process, the combination of learning and application, and all-round development, so that students can truly become the masters of learning.