Research On The Concept Teaching Of High School Mathematics Based On Freudenthal Theory

Freudentha was the 20 th century's greatest and most influential one of mathematics educators,many of his ideas influenced the mathematics education reform and development in the world,his mathematical education thought is necessary for China's vast and learning,mathematics teachers know Freudentha of mathematics education theory was "mathematization",simplification,the actual problem through the "re-creation" stimulate students' exploration spirit and innovation ability.First,this paper selected by "based on the theory of" Freudentha high school mathematics concept teaching and research "as the subject,to Freudentha the thinking foundation of mathematics education theory and his three teaching principle,and mathematical concept teaching of high school literature research,organizing research,and combined with the ordinary high school mathematics curriculum standards(2017edition)" explored the teaching of high school mathematics concept teaching strategies and teaching patterns,lay a theoretical foundation to the research of this topic;Then carried out in practice school based on the theory of "Freudentha mathematics concept teaching and research,to practice school mathematics teachers' and students' questionnaires,investigation about mathematics concept teaching present situation of the teachers and students in the classroom learning the existing problems and the investigation data collected,found that the current mathematics concept teaching method is unitary,comparing the traditional teaching method,don't too concerned about the students' mathematics reality and individual differences,and the mathematical ability of students is not very good,the problems of the interest in learning,the author from a new perspective of Freudentha theory analyzes the current problems existing in the teaching process of high school mathematics concept,from the scene recognition From the perspective of knowledge theory and constructivism,this paper analyzes the factors that trouble senior high school students in learning mathematical concepts and provides the direction for this study.Second,according to the investigation and study the problems found,on the one hand,based on the theory of " Freudentha on the teaching way has carried on the preliminary exploration and attempt,from the" function ",the core concept of "plane vector",explore the mathematical concepts under the theory of Freudentha 's principles,strategies,and teaching,and through the design of specific teaching segments,such as the parity of the "function","exponential function" and so on theconcrete application of teaching strategies,in order to improve the students' interest in learning,On the other hand,the "basic theorem of plane vector" is taken as an example to design a teaching case and conduct an experimental study on the concept teaching under Freudentha theory.Finally,under the experimental classes based on the theory of Freud's "fundamental theorem of plane vector teaching experiment,that in comparative classes in general teaching,in order to understand the two classes after the experiment of plane vector conceptual knowledge mastering and learning interest and so on change,combined with curriculum standards compiled about plane vector test and questionnaire,the statistical software to analyze the survey results,Excel ?SPSS16.0,through comparative analysis found that the math scores of experimental class and learning interest and so on had the very big enhancement,mathematical ability is also improved.