High School Math Algorithms Preliminary "teaching And Research

With the rapid development of computer technology, the idea of algorithm has become a mathematical literacy that the modern people should have. The new curriculum standard of China not only arranges the algorithm for the high school mathematics required content, but also requires that the algorithm idea is throughout the whole process of the entire high school mathematics learning. But there are still some difficulties in the practices of algorithm teaching. So, on the basis of sorting the predecessors' achievements, this paper investigate and analyze the status of the algorithm teaching, in order to bring some revelations about algorithm teaching.First of all, through the investigation of "The preliminary of algorithm" teaching situation, this paper found some problems in the practical teaching of "The preliminary of algorithm" as follows: (1)The new curriculum training is insufficient. Only a minority of teachers have very clear understanding about the new curriculum standers, partial teachers don't understand some content of the algorithm. (2)The grasp of teaching difficulties is inaccurate. In the survey, teachers believe that students' learning difficulties are mainly concentrated in loop structure and its flowcharts, loop statement, variable and assignment, etc. but students think their learning obstacles are loop structure and its flowcharts, algorithm flowcharts of design in the practical problems, looping statements, etc. (3) The teaching content is so onefold, need to be abundant. Students expect to more add intelligence game, algorithm of the real problem, computer language of program design and the algorithm in the ancient mathematical problems, etc. (4) Computer level should be further enhanced. The teacher's basic knowledge of computer are usually quite weak, most of the teachers can't use the computer to operation algorithm. (5) The textbook's contents should be improved. Some content of the textbook(the edition of Beijing Normal University press)are too scattered, generalization and logic is not strong; It's not provided the writing standards of the algorithm statements, some algorithm statements are far from the actual computer program statements, they cannot be operated in the computer; Some exercises are so difficult for students to understand and master.Secondly, combined with the theory of procedural knowledge learning, learning strategy theory and multiple intelligence theory, this paper analyzes course goal, teaching content and requirement of "algorithm of the preliminary" in the new curriculum standard, and then minutely analyzes and evaluates the textbooks of Beijing Normal University press. It found that there exist some problems. For example, in the first quarter, literal account of the algorithm are too long, not typically enough; The examples in the "selecting structure" and "variable and assignment" are unreasonable, not accord with the students' cognitive law; The written standers of the algorithm statements is nonstandard.And then, this paper in-depth analyzes a typical case of the algorithm teaching, and discusses the students'thought erroneous zone in the process of learning algorithm. Then, it found that there are some misunderstandings about each block diagram of the algorithm flowchart, and the termination conditions of circular structure.Finally, based on the previous study and analysis, this paper proposed five suggestions about algorithm teaching. First, teachers should change minds, and pay attention to the development of students' arithmetic idea. Second, teachers should strengthen the training and learning of the new curriculum reform related theory. Third, teachers need to strengthen the algorithm learning and expand their knowledge, not only master relevant knowledge of the mathematics history about algorithms, but also master certain knowledge of computer programming. Fourth, in the teaching process, teachers should attach importance to the choice and apply of algorithm case. Fifth, teacher should encourage students to exchange and cooperation; attach to develop student's ability.