The Research On The Design And Application Of The Preview Of High School Mathematics Principle

Mathematical principle is an important learning content of high school mathematics,because of its diversity and complexity,it is difficult for students to learn.Preview to promote the study of the principles of mathematics,but the existence of low efficiency and so on.Through the analysis of the literature,we found that the mathematical preview has attracted the attention of the researchers in mathematics education,and some scholars think that the form of learning plan can guide students to prepare effectively,but not to do a systematic research on the principle of mathematics.Therefore,the purpose of this study is to promote the effective preparation of mathematical principles for the purpose of the principle of high school mathematics for the specific content,the preparation of the case as the form of the development of high school mathematical principles of the design and use of research.The main work of this study is as follows:First of all,based on the literature review of the concept and advantages of preview function,plan on the definition of the preview case;through the analysis of documents for the advance organizer and recent development region of constructivism,the three theoretical basis for the design and use of preview.Secondly,the source and curriculum requirements based on the content analysis of high school mathematics principle,"whether to deduce(proof)" as the standard,the mathematical principle is divided into "axiomatic" principle and the "non axiomatic principle" two.On this basis,the high school mathematics teaching materials in the A version of the mathematical principles of the classification,and according to the required series,the order of 2 series of teaching materials to get the table 3-2 to table 3-9 a total of 8 mathematical principles of classification statistics.On the foundation of combing the principle of the high school mathematics curriculum goal,according to the analysis of the meaning of mathematical principle,the common goal of "Memorization Principle" four principle of mathematics learning;based on the analysis of characteristics of different types of mathematical principle,the principle of "non axiomatic mathematics understanding to derive or prove the five point learning process" the target and axiomatic mathematics principle "is derived by using the principle of" two learning objectives.Then,according to the analysis of the demand of mathematics teaching principle,preparation process,case design strategy of two image non axiomatic mathematics principle and identification,variable type of two axiomatic mathematics principle previewing case design strategies were got.The design process and to develop four case preparation step of mathematical principle.The preview of the trigonometric function formula is designed,and the design process and design intention are explained in detail.Finally,the "formula" induced by trigonometric function to prepare to be the case according to the "process of teachers-students completed-the teachers review the use of".According to the case review and preview of classroom observation,interviews and other feedback analysis shows that the design of the mathematical principle of preview case mathematics principle have a certain role in promoting the learning of students.Reflect on the use of the process,according to the problems,put forward the reality of the preview design strategy and reasonable arrangements for the time,the use of scientific information on the use of two suggestions...