If someone asks secondary vocational school students what the purpose of studying in vocational schools is, many students will answer bluntly: just to learn a technology. Therefore, a considerable number of secondary vocational school students have strong initiative and enthusiasm in learning professional courses, and regard the study of cultural courses as dispensable.
In view of this situation, teachers should make students realize that mastering technology and learning culture are complementary while affirming students' pursuit of professional technology. As a tool course, mathematics is bound to play an increasingly important role. Let students know the learning situation of mathematics class and improve their ability to analyze, judge and synthesize problems. Students should use familiar examples as both positive and negative teaching materials, or invite previous students back to school to introduce themselves. When the obstacles in understanding are removed, students' enthusiasm for learning mathematics will be high, which will lay a good foundation for cultivating students' interest in mathematics in the next step.
Secondly, mathematics teachers must cultivate students' interest in mathematics.
Interest is often the forerunner of learning. All mental work depends on interest. So, how can we stimulate students' interest in learning mathematics? We can focus on the words "new" and "interesting". "New" means that the teaching content and teaching methods should be constantly updated and changed. We should make full use of the characteristics of mathematics itself: such as sharp contrast and dialectical relationship; Regular changes, scientific and reliable stimulation of new concepts, etc. Effectively stimulate students to carry out new exploration activities, and students have a certain interest in the understanding of the value of mathematics and the charm of mathematics itself. "Interesting" means that the class should be interesting and fascinate students. For example, we should mobilize modern teaching methods and use light, electricity, sound and image to act on students' eyes and ears; Use the methods of intuitive demonstration, discussion and defense, field observation, etc. to stimulate students' interest and promote their positive thinking. After cultivating students' interest in learning mathematics, they should re-establish their self-confidence in learning mathematics well.
Third, math teachers must establish students' self-confidence in learning math well.
Intellectually, secondary vocational school students are not necessarily worse than ordinary high school students. In my opinion, psychological factors can not be ignored. Most of their study life is full of ups and downs, even humiliation. Numerous exams, large and small, have brought them many failed sighs, teachers' criticisms, parents' reproaches, and classmates' cold eyes ... Perhaps, most of them have made a comeback and caught up with advanced ideas and actions. But in the face of those students who have a solid foundation and are confident enough, they obviously lack confidence. When they compete again in the examination room, they are naturally defeated. So every time they fail in the exam, they add a heavy weight to the balance in their hearts, which makes them unconsciously fall into the quagmire of inferiority, numbness and weariness of learning.
How to get them out of the "quagmire" and move forward calmly? Perhaps the most important thing is to help them rebuild their confidence. This requires teachers to only grasp the most basic things in classroom teaching and testing, and put the "peach" in a proper position, so that everyone can taste the joy of picking up their hands at a jump, and even find every "bright spot" they show during the learning process. When their self-confidence is re-established, the buried great learning potential will be released, thus pushing mathematics learning to an unprecedented height.
Teachers should be good at using the principle of encouragement, and teachers should smile, nod approval, verbally praise and encourage comments on students' behavior; The affirmation and recognition of students' achievements by schools and society will give students new motivation and strength and strengthen their self-confidence. On the contrary, teachers' improper criticism, accusation and even ridicule of students will make students lose confidence. Therefore, when students' grades drop, we should also refrain from analyzing criticism, but help students analyze the reasons and find ways to change the status quo, so that students can see the achievements and the light of failure. After establishing students' self-confidence to learn mathematics well, helping students, improving their bad habits and improving their math scores can greatly arouse their enthusiasm for learning mathematics.
Test and analysis: From the nature of N(x), we can know that when x is odd, the largest odd factor of x is obviously itself. So N(x)=x, so we can decompose and calculate the s