| In recent years, the basic curriculum reform of our country has placed reforming learning mode and research-based study in conspicuous place, laying emphasis that students should have time in their academic studies. The curriculum standard for mathematics set by the ministry of education of our country requires school to give students activities such as " mats research" and " mathematical modeling" for the purpose the students may have opportunities of experiencing the process of discovering maths laws and develop their creativity. The purpose of this theses is to research research-based study mode in senior high school mathematics teaching and the things related such as classroom teaching procedures, homework based on practical problem solving, and on the basis of the research, put forward the procedures for research-base study in classroom teaching, homework based on practical problem solving, trying to seek a approach for carrying out research-based study mode in senior high school mathematics teaching.Main conclusions of this theses:(1)The classroom teaching is the basic means of carrying out research-based study , and in different stages of the classroom teaching students may choose different things to research, such as:①In teaching-new-knowledge classes, students can research how a maths concept or a principle is formed. ②In doing-exercise classes, students may research the variations of a problem or how to make use of a conclusion by studying maths problems.③In teaching review classes, research how to expand a concept or use a concept comprehensively.④In teaching applying classes, seek a maths model from the background of maths problem.The classroom teaching mode fro research-based study can be summarized as the following teaching modes:①The teacher creates a problem for students to research.②Students actively find a problem to research( finding a problem, imagining a conclusion and trying to prove the conclusion.③Students give a presentation of their result of their research. The teachers and students give a summary and assessment.④Students construct their knowledge meaningfully and systematically.(2) The homework based on practical problem solving is a practical project. The research on it can be summarized as the following five teaching modes:①Knowing the content of the homework and requirements.②Forming groups and dividing the work on the homework.③Making the plan for carrying out the homework.④Proving the conclusion and getting the result.⑤Presenting their research and giving assessment. (3) The key for carrying out research-based teaching is to create a problem-solving situation for students. The teaching mode can have following procedures:①The teachers make the students know what to research.②Forming groups and dividing the work on the research.③Having group discussions and making the plan for the research.④Carrying out the research in groups.⑤Trying to get a conclusion for their research.⑥Presenting their research result and the teachers and students assess their work together. |