How to write a math problem teaching case? According to some requirements of the new curriculum standard of junior high school mathematics, when designing teaching cases, we should fully combine the teaching content, characteristics and teaching objectives of junior high school mathematics. Only in this way can the designed teaching cases meet the specific standards of the new curriculum. Today, Park Shin-bian Xiao brings you the skills of mathematics teaching.
1. fully reflects the subjectivity of students. In the past, traditional teaching only paid attention to the instillation of knowledge, and rarely considered students' emotions and cognition. Therefore, when designing junior high school mathematics cases, students' subjectivity must be fully reflected.
2. Cultivate students' independent inquiry ability. Under the requirements of the new curriculum standards, cultivating students' independent inquiry ability has become one of the main goals of junior high school mathematics teaching. As the famous mathematician Hua said, many math classes now only serve ready-made meals, but lack the process of cooking. For example, when learning Pythagorean theorem, teachers should abandon the teaching methods instilled in students in the past, but put forward specific learning goals for students, so that students can draw concrete conclusions by observing and calculating each side of a right triangle. This can not only stimulate students' interest in learning, make them actively participate in learning activities, but also greatly promote the development and cultivation of their independent inquiry ability.
3. Cultivate students' mathematical abstract thinking. The ultimate teaching goal of junior high school mathematics is to cultivate students' mathematical abstract thinking, that is, the ability to abstract practical problems into concrete mathematical problems and solve them with relevant mathematical knowledge. It is generally recommended to adopt the teaching case form of problem situation-modeling-explanation, application and expansion.
4. Promote the all-round development of students. In addition to cultivating students' independent inquiry ability, we should also cultivate students' innovative ability, independent learning ability and cognitive ability. Having the above abilities is also the most basic requirement for junior high school students in the new period, which conforms to the development trend of today's society.
2. Improve the quality of mathematics classroom teaching.
Highlight key points and solve difficulties.
Highlighting key points and solving difficulties are the keys to improve classroom teaching efficiency. Every class has a key point, and classroom teaching is gradually carried out around the key point. At the beginning of the class, the teacher first puts forward the teaching objectives of this class, then briefly introduces the main knowledge points of this class and their status and functions, and writes these contents briefly in the corner of the blackboard in order to attract students' attention. The key content of the lecture is the climax of the whole class. Teachers should stimulate students' brains by changing sounds, gestures, writing on the blackboard, application models, multimedia and other visual AIDS, so that students can get excited, have a strong impression on what they have learned, stimulate students' interest in learning and improve their ability to accept new knowledge.
Use modern teaching methods
Using modern teaching methods is an effective way to improve classroom teaching efficiency. With the rapid development of science and technology, multimedia-assisted teaching has become an important means of modern teaching. It is very important for teachers to master modern teaching methods. The characteristics of modern teaching methods are: firstly, it can effectively increase classroom capacity and reduce blackboard writing, so that teachers have more time and energy to guide students to explore key and difficult problems, and explain examples in depth to improve the efficiency of explanation; Second, it is intuitive, easy to stimulate students' interest in learning, conducive to inspiring students' thinking in images and improving students' initiative in learning. The third is to make the summary of the content learned in a class more organized, which is helpful for students to further understand and master the key points, difficulties, key contents and methods of this class.
Choose a suitable teaching method.
Appropriate teaching methods are the key to improve classroom teaching efficiency. Teaching methods are the collective name of teachers' teaching methods and students' learning methods. Teaching is for learning. If the teaching methods are not appropriate, students will not be able to better understand and master the content of classroom teaching, let alone improve the efficiency of classroom teaching. Each class has corresponding teaching tasks and objectives. Teachers should choose teaching methods flexibly with the changes of teaching contents, teaching objects and teaching equipment. There are many methods of mathematics teaching. For new teaching, I usually use the method of combining dialogue with group learning to impart new knowledge to students. In the teaching of solid geometry, demonstrations are often interspersed to show students geometric models and verify geometric conclusions. This laid a good foundation for the study of solid geometry, and students' spatial imagination ability of graphics was enhanced. In addition, I also flexibly adopt various teaching methods such as teaching, reading guidance, homework and practice in combination with the classroom content. As long as it can stimulate students' interest in learning and help them cultivate their thinking ability, it is a good teaching method. We should explore hard and communicate with each other to ensure the continuous improvement of classroom teaching efficiency.
3. Cultivate students' interest in learning mathematics.
Good teacher-student relationship is the premise of cultivating interest.
Psychological research shows that a good teacher-student relationship can give full play to students' initiative in learning, tap their potential and produce good teaching results. Therefore, only in the intimate and harmonious interpersonal relationship between teachers and students can students feel safe in classroom learning and dare to truly exert their potential. In teaching, teachers are the promoters, organizers, collaborators and instructors of students' learning. You should be kind and tolerant to students, often go deep into students' reality, understand students' various situations, shorten the emotional distance between teachers and students, and make students feel that you are both a good teacher and a good friend. In this way, students will like the teacher, and then like the course given by the teacher, thus becoming interested in learning this course.
The experience of success and joy is the basis of stimulating interest.
Success is everyone's wish. Success can bring endless happiness to labor, and the joy of success is often the driving force for learning lessons well. Therefore, teachers should respect students' labor achievements, provide students with as many opportunities for success as possible, design successful steps and create a successful atmosphere, so as to enhance students' sense of success and better transform potential benefits into realistic and effective benefits. To make students successful, teachers should encourage students to speak boldly, be more sure when answering questions, and let students express their opinions and speak freely. In the debate of different opinions, the evaluation of students should reflect people-oriented, adopt inspiring language, and pour more tolerance, respect, understanding, trust, appreciation, praise and encouragement. Teachers' opinions should not be imposed on students, but should be accepted on the basis of debate and discussion.
Carefully design the lead-in to guide the interest in learning.
Students' interest in learning can be said to be not innate, but generated in a certain situation. In order to keep students in the best psychological state all the time in the teaching process, teachers should carefully design guiding language to arouse students' spiritual voice and make it interesting driven by emotions. For example, when I teach "solving right triangle application examples", I will start with cultivating students' application consciousness and stimulate their interest in learning. I designed such a lead: "Students, the school has assigned a task to our class". At that time, my classmates looked at me with expectant eyes. I went on to say, "The school asked us to measure the height of flagpoles on the playground. Today, we will learn to solve practical problems with the knowledge of right triangles." Just as my classmates were thirsty for knowledge, I went to class. The classroom atmosphere in this class is particularly active and has received unexpected learning results.
4. The cultivation of intuitive thinking in mathematics.
1. A solid foundation is the source of intuition.
Intuition does not depend on "opportunity". Although the acquisition of intuition is accidental, it is by no means a fantasy for no reason, but is based on solid knowledge. Without a deep foundation, there will be no sparks of thought. Attiya said: "Once you really feel that you understand something and gain enough experience in dealing with that problem through a lot of examples and connections with other things, you will have an intuition about what happened in the development process and what conclusions should be correct." Adama once said humorously, "Can a monkey respond to the opportunity to print the entire American Constitution?"
2. Infiltrate the philosophy and aesthetics of mathematics.
Intuition is based on the overall grasp of the research object. These philosophies include the unity of opposites, movement changes, mutual transformation, symmetry and so on, which are common in mathematics. For example, if (a+b)2=a2+2ab+b2, even if the complete square formula has not been studied, the truth of the conclusion can be judged from a symmetrical point of view. Aesthetic feeling and aesthetic feeling are the essence of mathematical intuition. Improving aesthetic ability is conducive to cultivating intuitive awareness of the harmonious relationship and order among mathematical things. The stronger the aesthetic ability, the stronger the mathematical intuition ability. 193 1 year, Dirac boldly put forward the antimatter hypothesis from the perspective of mathematical symmetry. He thinks that the antielectrons in a vacuum are positrons. He also questioned Maxwell equation. He once said that if a physical equation looks unattractive mathematically, then the correctness of the equation is questionable.
3. Pay attention to problem-solving teaching
Choosing appropriate topic types in teaching is conducive to cultivating and testing students' intuitive thinking. For example, multiple-choice questions only require selection from four multiple-choice questions, which omits the problem-solving process and allows reasonable guessing, which is conducive to the development of intuitive thinking. Implementing open question teaching is also an effective way to cultivate intuitive thinking. The conditions or conclusions of open-ended questions are not clear enough, so we can seek the reasons from the results and guess from the reasons. Because of the divergence of answers, it is conducive to the cultivation of intuitive thinking ability.