When it comes to discrete mathematics, a large number of formula concepts and mathematical logic are always a headache, but as the basic subject of computer science, these knowledge must be learned well and memorized. Teachers of public courses have this magic power, which makes it easy for students to accept this huge and complicated knowledge system and keep these contents firmly in their minds.
In the course of introduction to discrete mathematics, students habitually think that the teacher will first show the classroom requirements and some boring discrete definitions in the courseware. However, the public security teacher first introduced some interesting practical application examples to the students, such as "Gothenburg 7 Bridge Problem", "Cryptography" and "Five-color Theorem", which surprised the students and brought their interest in learning into the classroom of discrete mathematics.
Every time an open class is held, the teacher of the open class does not put a lot of formulas in the courseware first, but tells a few interesting stories to make the students think through laughter. He will repeatedly analyze "Does the barber want to cut his hair" in the learning process, and use the knowledge learned at different stages to think and judge, so that students can experience the logic of mathematical analysis in these small examples close to life, and gradually find that it is really the same thing to analyze things with this logic.
In the class of discrete mathematics, we don't just talk about the contents of books. Sometimes the public teacher will bring the topic to "twelve-dimensional space" or "is the world caused by coding", which always makes the students dumbfounded, but it does make them interested and think about these computer-related problems. Many students collect twelve-dimensional videos for after-school research and discussion. I have to say that in his class, the students can always open their eyes.
Public teachers can skillfully integrate the events around them into the classroom of discrete mathematics. From time to time, there will be game elements like "Gundam" that students like in examples, so that everyone can feel the fun of learning mathematics. Students absorbed the definition of a mouthful in an active atmosphere, understood and memorized the formula, and unconsciously analyzed the problems they were interested in with mathematical thinking. Integrating interest into discrete mathematics and turning mathematics learning into an interest is the charm of public teachers' classroom.
2. Simplify the complex and convey the essence.
Graph theory is a very important part of discrete mathematics course, and its main difficulty lies in that there are many similar concepts, such as complete graph, competition graph, road, loop, Euler diagram, hamiltonian graph, etc., which make people dazzled, and these confusing definitions often confuse students. At this time, the public teacher will skillfully transform the definition of a long paragraph into an animated demonstration on the slide, instead of a lengthy text description, and become a lovely "little fox". Accompanied by some funny background sound effects, this cartoon image moves leisurely on the projection screen, and its action trajectory generates a "picture" that we need to learn.
Coursewares of public teachers are often only a few words, so that students can see the key content at a glance. He will sum up the complex theories into a comparison diagram, an animation or several examples, so that students can understand and absorb this knowledge intuitively and interestingly, instead of worrying about those awkward words with impact. In this process, the public security teacher actually instilled many methods of learning mathematics into the students, so that everyone can learn about the subject of "mathematics" while absorbing the course content.
He always said that if discrete mathematics is really difficult for everyone, it will be difficult to solve the problem, and even if you memorize the formula, you may not be able to solve it, but it is unnecessary for students. Because the fundamental purpose of learning discrete mathematics is to solve practical problems, rather than learning it just to remember those formulas. Public security teachers have in-depth research on discrete mathematics and have their own unique opinions. He will not pile up the knowledge of discrete mathematics and throw it to students at once, so that students can spend a lot of time slowly digesting it after class. Instead, he will actually point out what is the essence of discrete mathematics and what can be applied in the future, and refine the knowledge into the most core and helpful content for students to better accept and absorb.
The knowledge of discrete mathematics often involves the contents of other courses. Public teachers will spread students' ideas into extracurricular knowledge and explain the contents of discrete mathematics with the knowledge of other disciplines. This enables students not only to use more efficient and scientific mathematical thinking to solve problems in other courses, but also to review and apply the knowledge of discrete mathematics in the study of related disciplines. Teachers who prepare for public examinations skillfully organize such related subjects, making students' study easier and more efficient.
3. Spiritual communication sincerely infects students.
I have to say that the public teacher has a magical skill of "brushing his face", which actually means that he has a good memory. Anyone who appears in his class once or twice can remember him. He said in the first class: "If there are not less than two-thirds of the students in the class, then I won't call the roll." But gradually, people found that he didn't seem to call the roll in class, but used this trick of "brushing his face" to curb the students' inner desire to skip class, because he had long remembered the list of people who didn't attend class on time.
I still remember that in a class near the end of the term, the public teacher said that he would not call the roll for a long time, but he did let the students see his "divine power." Because he can not only remember the names of most students, but also evaluate the class situation of each student this semester. For students who often interact with him in class, he will nod his head in affirmation, while for those students who are often late for class, he will complain to them helplessly. Even students who sit in the back row because they are shy, but often make eye contact with the teacher, he will keep it in mind and give encouragement.
Students can feel the teacher's "face brushing method", not only because of his extraordinary memory, but also because he pays close attention to every student in the class. After class, he will take the initiative to discuss problems with students who show doubts in class, and also chat with students who often interact with him. On the eve of the exam, he will take the initiative to invite students to ask him to answer questions. He will spare no effort to copy all his courseware for every student in need, and he will update the content for those students who have copied it after proofreading his courseware. He will recognize his students on the way to school, and will take the initiative to greet them when they are still recovering, so that students are willing to be friends with this "big boy".
Students will bring this intimacy from life into the classroom, discuss problems with this "big friend" without obstacles, take the initiative to speak out the doubts that trap their thoughts, and he will patiently answer them one by one. The public teacher infected every student with sincerity, built a bridge of hearts, and provided students with a channel to solve math problems with an open mind. In the process of communicating with him, the students not only met a "schoolmaster friend", but also naturally learned discrete mathematics.
For a course, the most important thing is the teacher, who passes on the essence of the course to the students. An excellent teacher on the podium brings the atmosphere in the classroom to fever. He is also a friend who can chat with others and mingle with his classmates. Discrete mathematics is a basic course for computer majors, which lasts 16 weeks. The course will come to an end, but with "Otto" and "hamiltonian graph", there are still "doorways" for happy learning taught by teachers.