本文選題：波利亞 + 導(dǎo)數(shù)��； 參考：《東北師范大學》2015年碩士論文

【摘要】：波利亞的《怎樣解題》一書出版30后的1980年,波利亞的解題方法流傳到我國,被我國學者大力贊揚,它主張的內(nèi)容與我國現(xiàn)階段的課程標準相符合,導(dǎo)數(shù)是數(shù)學中非常重要的一個概念,它連接了高中數(shù)學和大學數(shù)學,在高中階段想要很好的掌握導(dǎo)數(shù)的概念,對它能夠靈活應(yīng)用是有一定難度的。這部分出現(xiàn)了大量的學困生,因此我將對波利的解題方法用于高中數(shù)學導(dǎo)數(shù)教學之中。本文主要分三部分內(nèi)容,第一部分介紹波利亞的解題方法,其中包括他的解題表,他將歸納類比用于解題之中,在問答中應(yīng)用啟發(fā)法使學生解決問題,以及數(shù)學解題中的四種經(jīng)典模型。第二部分研究波利亞的解題方法在高中導(dǎo)數(shù)應(yīng)用的可行性,并對此進行評價。第三部分為波利亞解體理論下導(dǎo)數(shù)幾何性質(zhì)單調(diào)性的教學的實證研究。
[Abstract]:Polya's "how to solve the problem" after the publication of the book 30 in 1980, Polya's problem solving method spread to our country, has been greatly praised by Chinese scholars, its content is in line with the current stage of our country's curriculum standards, the derivative is a very important concept in mathematics, it connects high and middle mathematics and university mathematics, in high school stage is very good. It is difficult to apply the concept of derivative, and it is difficult to apply it flexibly. In this part, there are a lot of students with learning difficulties. So I will use the method of solving the problem of Polly in the derivative teaching of high school mathematics. This paper is divided into three parts. The first part introduces Polya's solution method, including his solution table, he will sum up the analogy In the question of solving the problem, we apply the heuristic method to solve the problem in the question and answer, and the four classical models in the mathematical problem solving. The second part studies the feasibility of Polya's solving method in the high school derivative application and evaluates it. The third part is the empirical study on the monotonicity of derivative geometric properties under Polya's disintegration theory.

【學位授予單位】：東北師范大學
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：G633.6

【參考文獻】

相關(guān)碩士學位論文 前1條

1 吳曉波;高中生“導(dǎo)數(shù)及其應(yīng)用”學習障礙的探究[D];山東師范大學;2013年

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本文編號：1798081