| With the advance of our quality education and innovative education, mathematics education is proposed with higher requirements. Mathematical education focused on the computing skills and the solution of the conventional problems can no longer meet the needs of the times, the goal of mathematics education should include training students in high-level mathematical thinking skills, innovative spirit and ability to solve practical problems. Opening Teaching as a new form of teaching is able to mobilize the enthusiasm of the students’learning, stimulate students" interest, expand students’thinking space and contribute to the students of expression, critical and innovative capacity. Mathematical open problems teaching supply the traditional mathematics teaching to great degree for the development. Mathematical Opening Teaching greatly combined "the double base education" with "innovative education" with the scientific balance of developing students’ awareness of innovation and "double-base training, students not only get a good grasp of knowledge and skills, opening training allows students’ thinking skills in high level such as creative thinking skill. Mathematical open problems in mathematics teaching have a huge impact in the implement of quality education and promotion of the math teachers in cultivating the students’innovative spirit and ability.The students in Junior high school is in a alternating stage of specific symbolic computation and form of symbolic computation, they have been able to think rationally about some of the problems and phenomena, some of the junior high school students have already owned a higher-level thinking skills and a certain degree of self-regulation capacity in problem solving. Therefore, it is necessary to proceed the further research on the open problems of the junior high school mathematics teaching.The writer will do further teaching research on Junior high school mathematics in view of previous theoretical studies and practical research. The paper is divided into six chapters, the specific content will be shown as follows:Chapter one:Introduction. It mainly elaborate the purpose of this study, the significance, the researches at home and abroad, research methods and innovations.Chapter two:The theory of mathematics opening teaching of junior high school students. It states the descriptive definition of the concept of open problems of mathematics and the analysis of the type and characteristics of the mathematical open questions and related theoretical basis.Chapter three:The study of the mathematics opening teaching of the junior high school students. It will test some of the students in Wulatehouqi Middle School in the solution of open-ended questions and closed questions, the results showed that the ability of the junior high school students to resolve the open questions is far less than the ability to solve a closedquestion, the students in higher grades is no less than the lower grades in resolving open questions. The writer conducted a survey after the test which is for understanding the junior high school students’level of knowledge and the use of open-ended questions.Chapter four:Mathematics design of open-ended questions. It tells the basic principles and design methods of the Open-ended questions designed, open questions will be designed according to the type of mathematical open problems.Chapter five:the junior high school mathematics teaching practice of open problems. Based on the theory of the second chapter and the third chapter of the investigation on the part of junior high school students, taking into account the learning of the students the paper pointed out open problems of junior high school mathematics teaching target and teaching principles. Four teaching strategies are come up with according to the teaching principles, combining with the Opening Teaching principles and strategies teaching cases of open-ended questions are enumerated.Chapter six:Conclusion. A summary of this study and the shortcomings of the study. |
PDF Full Text Request