The effectiveness of mathematics classroom teaching is essentially that teachers promote and accelerate students' mastery of mathematical knowledge, skills and thinking methods through teaching activities, promote students' ability and thinking development, and at the same time enable students to form a good mathematical knowledge structure, laying the foundation for students' lifelong mathematical practice activities. Mathematics classroom teaching must conform to the law of education and teaching, and students' motivation and interest in learning mathematics can be stimulated and maintained through these teaching activities. Promote students' understanding and application of mathematical concepts and mathematical thinking methods, lay a solid foundation of knowledge and ability for students' further study, and complete mathematics teaching tasks with high quality within the time stipulated in the new curriculum standards.
Second, how to improve the effectiveness of mathematics classroom teaching
1. Correcting and guiding students' learning methods and means
The new curriculum advocates "active" inquiry? "Cooperation" is a learning method characterized by advocating students' active participation, being willing to explore and being diligent in hands-on, and cultivating students' abilities of collecting and processing information, acquiring new knowledge, analyzing and solving problems, and communicating and cooperating. Teachers should actively interact with students in teaching, pay attention to cultivating students' independence and autonomy, guide students to observe, analyze, question and explore, and promote learning in practice.
2. Change educational concepts and improve teaching methods.
(1) Attach importance to the creation of inquiry situations, and make inquiry an internal demand of students. "The problem is the core of mathematics." In teaching, we should carefully create problem situations, create a natural, harmonious and democratic atmosphere of inquiry, let students get in touch with the inquiry of problem situations, let each student become the discoverer, researcher and explorer of problems and laws, generate internal motivation to stimulate and promote their own learning of mathematics, and actively participate in knowledge learning.
(2) Improve teaching methods and explore training mode. The new round of curriculum reform is not just about changing a set of teaching materials, but the renewal of educational ideas and the change of talent training mode. It is an all-round reform involving classroom teaching methods, students' learning methods and school daily management. The new curriculum emphasizes that teachers are students' learning partners, guides and participants. The teaching process is an interactive process of communication and development between teachers and students. Teaching methods have also changed from passive acceptance to inquiry learning and autonomous cooperative learning. Every teacher is required to insist that students are the main body of learning and inquiry, and advocate heuristic, inquiry, discussion and participatory teaching to help students learn to learn.
Stimulate students' curiosity, cultivate students' interests, and create a good environment for independent thinking, free exploration and innovation. In class, we must give students enough time to think and practice, actively mobilize students to participate in class discussions, give full play to their divergent thinking, divergent thinking and creative thinking, and let students participate in the whole process. It is necessary to change the training mode, establish a diversified concept of talents, respect personal choice and encourage personality development. Cultivate talents in an eclectic way. (3) Improve teaching evaluation. The new curriculum standard clearly points out that the main purpose of teaching evaluation is to fully understand students' mathematics learning process, stimulate students' learning and adjust teachers' teaching. The evaluation of mathematics learning should not only pay attention to students' academic achievements, but also pay attention to their learning process. We should pay attention to students' mathematics learning ability and their emotions and attitudes in classroom activities. We should take various forms of evaluation according to different contents and different learning objectives. Besides the regular written test and examination, we should make the evaluation process dynamic and run through the classroom, daily life and activities. We should always know students' feedback on our own teaching, advocate holding students' symposiums regularly, feedback relevant information in time, improve teaching methods in time and improve our classroom teaching efficiency.
(4) Guide the process of reflection and exploration, so that every student can learn to reflect. The new curriculum standard points out: let students have the consciousness of reviewing and analyzing the process of solving problems, and gain experience in solving problems through reflection. It can be said that it is difficult to promote students' self-improvement and sustainable development without students' self-reflection. During or after the exploration, we should actively guide students to learn to reflect, promote the formation of students' problem consciousness and improve their cognitive ability. Is there any calculation error? Is the reasoning rigorous? Can the method be improved? From these different aspects, we should think about the methods and strategies of inquiry from different angles, so that students can strengthen the exchange of mathematical knowledge and ability in constant reflection and improve their ability to carry out mathematical activities.
3. Appropriate application of modern teaching methods
The extensive application of modern information technology is profoundly affecting the content of mathematics classroom, mathematics teaching and mathematics learning, so it is particularly important and urgent to master modern teaching methods. In teaching, we should attach importance to the use of information technology to present the course content that was difficult to present in classroom teaching in the past, and at the same time make use of scientific calculators, computers and software, the Internet and various mathematical education platforms as much as possible. Strengthen the combination of mathematics teaching and information technology. Teachers should properly use information technology, improve students' learning methods, guide students to learn related mathematics content with the help of information technology, and explore and study some meaningful and valuable mathematics problems.
In a word, improving the effectiveness of mathematics classroom teaching is an eternal topic discussed by mathematical education theory researchers and teaching practitioners. Only by further changing the concept of education and teaching, being brave in practice, being bold in innovation and keeping pace with the times can we explore more effective ways and methods to improve the effectiveness of mathematics classroom teaching.