The Meanings Of The Polya's Mathematics Education And Thoughts In Mathematics Teaching In The Secondary School

The mathematics education reform .when entering 21 centuries, is valued more and more of two mathematics course targets in our country, how to consider and resolve the mathematics problems .Put forward the concrete request of these two course targets clearly and definitely in the nine years in fulltime system in Compulsory Education Mathematics Course Standard ( experiment to make ) of the People's Republic of China Ministry of Education promulgation .How to realize above two items in knowledge and technical ability teaching of process , is an important research lesson .Polya"s mathematics education thoughts has the consistency with the Mew Course Standard and by studying it .what we can draw lessons from realizing these two goals of education has the very meaning .One. there are some aspects below by studying Polya's mathematics works and summing up Polya's mathematics education thoughts :1 Polya thought that "the one of the curricular and main targets in mathematics is a way of thinking that solution to develop the students' ability ". he clarified the general solve with method in his problem-solved table .2 Polya thought that mathematics science has dual nature — induction and deduction . When teaching students .not only how to prove but also how to suppose .they should get the opportunities to discover things systematically and could think by themselves .Polya put forward the reasonable inference .3 Studying Polya's works .we know ,he was extensive to inherit and absorb the essence of the education thoughts of other mathematicians .And he combined his own mathematics education research with them .and developed .Two, base on the research result of the others .combination mathematics educates the research with practice .expatiating to make use of a mathematics for the benefit is Polya's education in the mathematics teaching thoughts of "mathematics considers " and ''problem solution " of ability to train the students .Three, draw lessons from Polya's mathematics education thoughts ,we should handle a few problems below well .which promote the process for reforming the mathematics education in the secondary school of our country.1 Handle the mathematics relationship between the reasonable reasoning and deductive reasoning very well in the teaching . Teach students the ability how to think about the mathematics problems .and educate students the ability how to solve the mathematics problems .In former syllabus with textbook . concerning the reasonable reasoning is not enough .we value the conclusion more than the process in teaching2 Join the concrete contents in teaching material with Polya's style to teach , but do not reject the education thought of the other mathematicians .Polya's mathematics education thoughts are the results of summing up his own mathematics education experience and absorbing the education thoughts of other mathematicians.3 The teachers should combine the teaching material contents with Polya's mathematics education thoughts .the former reform in education can't sometimes obtain the result that expected because they usually rejected other education thoughts and methods, so that .the teaching mode is unitary and cannot take in every kind of beneficial education thought concurrently .