Based on my own teaching experience, this paper expounds how to cultivate students' mathematical ability in mathematics teaching.
Correct answer:
Mathematical ability is a special ability, and it is a psychological state that adapts to and ensures the smooth completion of mathematical activities. (4 points)
Mathematical ability consists of the following main parts:
(1) The ability to perceive the formalization of mathematical materials;
(2) the ability to abstract and summarize the relationship between mathematical objects, numbers and space;
(3) the ability to use mathematical symbols for reasoning;
(4) the ability to use mathematical symbols for operations;
(5) the ability of thinking transformation;
(6) The ability to memorize concrete mathematical symbols, abstract teaching principles and methods, and formalize mathematical relationship structure. (6 points, each point 1 minute)
Ways to cultivate students' mathematical ability;
(1) Strengthen the teaching of basic mathematics knowledge and lay a solid foundation for the development of students' ability. (3 points)
① In the teaching of basic knowledge and skills;
② Pay attention to the teaching of mathematical thinking methods.
(2) Stimulate students' desire for knowledge, cultivate students' interest, and mobilize and give play to students' initiative and enthusiasm. (3 points)
① The initiative of learning is first manifested as the consciousness of learning;
② The whole teaching process should fully embody the teaching idea that students are the main body of learning;
③ Maintain the continuity and stability of interest.
(3) Improve teaching methods and open up favorable ways to cultivate abilities. (3 points)
What kind of teaching method is conducive to the cultivation of students' ability?
(1) Heuristic method should be adopted in the teaching process, and injection method should be cancelled;
② Pay attention to the training of observation and thinking;
③ According to the different contents and requirements of teaching, adopt appropriate teaching methods to promote the development of various abilities.
(4) Pay attention to the application of knowledge and cultivate students' ability in practice (1)
[Hint]: On the one hand, try to describe the above points comprehensively; On the other hand, we should combine the actual situation and our own teaching experience to elaborate one or more of the main points.