高中生在“导数及其应用”学习中的困难及教学策略分析

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1、其中主要有以下四方面原因：一是对数学题目的阅读理解能力差；二是对数学的感知能力差；三是数学学习心理素质差；四是基础知识掌握不牢固。针对高中生在“导数及其应用”学习屮的困难，本文还给出了相应的教学对策：一是教师课前讲解微积分的有关历史知识和微积分的重要性，培养兴趣，引起重视；二是注重概念的形成过程和概念意义的讲解；三是注意知识之间的联系，巩I古I好学生的基础知识；四是在教学中适当的变革学生的学习方式，提高知识的运用灵活度；五是重视数学符号的作用与意义的讲解；六是加强数学思想方法的教育，改掉死记硬背，死板硬套的做题方法。关键词

2、：高中生；导数；微积分；学习困难；教学策略分类号：G633.6AbstractTheknowledgeofderivativeplaysanimportantroleinstudentstudy.Takingthiscoursecanhelpstudentstopromotetheirself-inquiry,reflectionideas,anditisalsoabasictooltotheproblemofvariablesandasolidfoundationforhighschoolstudentstolearnm

3、athematicandothersubjects.Therefore,howtoteachandlearnderivativebecomesanimportanttopicforfurtherstudy.Inthenewsituation,areasonableteachingstrategytoeffectivelyorganizetheteachingofnewcontentbecomesveryurgent:.Thepurposeofthispaperistoanalyzethedifficultiesencoun

4、teredbystudentsduringtheirlearningof"DerivativeandItsProperties1'todevelopanappropriateteachingstrategytoimprovestudentlearning.Firstly,thispapersummarizesthetheoryof"DerivativeandItsApplicationsidentifyingthedifficultieswithregardstothelearningofHDerivativeandIts

5、Properties11arethedifficultiesthatencounteredbythenormalintelligencestudentswhopassthehighschoolentranceexamincludingtheunderstandingoftheconceptandformula,theapplicationofthederivative.Thesedifficultiesleadtotheproblemofacknowledgementofderivativeproblems,theweak

6、nessoftheuseofderivativeandcalculusknowledgetosolveproblems,andbadacademicperformance.Thispaperemploystheformofquestionairetoinvestigatethestudentsunderstandingof"DerivativeandItsApplications11.Throughresearchthispaperfoundthatthelearningdifficultiesinthatpartofkn

7、owledgeismainly:(1)Theunderstandingoftheconcept.(2)understandingandrememberingtheformula.(3)Poorflexibilityintheuseofknowledge.(4)Difficultiesofknowledgetransfer(5)ThecomprehensionofmathematicalsymbolsChapterfiveanalizethedifficultystudentslearningnDerivativeandit

8、sderivativenatureM:First,poorcomprehensionofthesubjectofmathematics;second,poorinperceptionofmathematics;Third,poorqualityofmathematicslearningpsycholog