高分求一篇数学本科毕业论文
- 提问者网友：人生佛魔见
- 2021-04-30 14:02
- 五星知识达人网友：春色三分
- 2021-04-30 14:53
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- 1楼网友：鱼芗
- 2021-04-30 16:28
高二学生解决圆锥曲线问题的调查研究
摘要 “问题是数学的心脏”，波利亚认为“解题是人的最富特征性的活动”。相关 知识是解决问题的基础，智慧水平是解决问题的条件，态度因素是解决问题的准 备状态。所以“问题解决”是一个过程，是一个目的，也是一种能力。圆锥曲线 是高中数学的重点也是难点，是历年高考必考的知识点之一。学生在学习数学时 的兴趣态度如何，对圆锥曲线中涉及的基本概念理解如何，他们对圆锥曲线中体 现的数学思想方法:数形结合的思想、函数与方程的思想、类比与向量的思想运 用得怎样。这直接影响到学生解决圆锥曲线问题的准确与熟练程度。 本文总体采用了质与量的分析方法，通过问卷调查与测试卷的形式对上海市 三所重点中学的151名学生进行调研，得出了高二学生在解决圆锥曲线问题中存 在的几个问题: 1.只有30%左右的学会生直接利用圆锥曲线的定义求轨迹及焦点弦长，其余学 生都是通过坐标法求解，大部分学生对圆锥曲线的定义没有充分的认识。 2.学生对圆锥曲线标准方程的形式理解单一，大部分学生对点与坐标的对应， 形与数的对应没有很好的掌握。 3.由于对数学思想方法的内涵理解不足，及学生本身在解题中存在的思维障碍， 学生运用数学思想方法解决圆锥曲线综合问题的能力是薄弱的 根据以上三个问题，本论文为教师提供了提高学生解题能力、自控能力、应 用数学知识能力的有效途径的几条建议 1.运用ApOSE改进概念的教学 2.教师要提高教学策略，注重数学思想方法的教学。同时提高自身的数学修养， 解题技巧，打破教学形成的思维定势。从而达到提升学生思维的广阔性，独 创性等思维品质。 3.对圆锥曲线中的难点圆锥曲线上两点关于直线对称存在性问题进行探究并提 出了新的解法。 关键词:问题解决，数学思维，数学思维品质，数学思想方法，学习兴趣 概念教学，性别差异，圆锥曲线 5traCt nMathematies15theheartoftheProblem，”Polya ”Problem一 solving15themostcharacteristieactivities.” Kno份 ledge15thebasistosolvetheProblem， thelevelof intellegence15tosolvetheProblem， theattitudefaetor15 thereadinesstosolvetheProblem.Therefore，” toresolve theissue.15aProcessthat15aPurPoseandacaPacity.Conic 15thefocusofhighschoolmathematics15diffieult，over theyears15acomPulsorytestofknowledgeonePoint.Students Int6restediHmath份 hGDth6attltUd6OfthGCODICinVOIV6d inunderstandingthebasieeoncePtsofhowtheyreflecton theconicmathematiealwayofthinking:Algebraandgeometry Combinatlonideas， equationsandfunctionsofthinking， thinkingoftheanalogywiththeuseofthevectorHow.This 15adirectbearingonthesettlementofeonicProblemwith theProficieneyOfaccurate· Thisarticleusestheoverallqualltyandquantityofanalysis， surveyandtestingintheformofvoluIUeinShanghai.5 secondaryfocusof151studentsinresearch.Thishascometo addressthestudentsintheconicProblemsthatexistIna numberofquestions: 1.Only30%oftheInstituteofHealthandthedirectuseOf COlliCS6CtiODforthGdefiDitionOftraCkandthsfOCUSOf alongstring， andtheremainingstudentsthroughthe coordinatesofthemethod， mostofthestudentsontheConic iDSUffiCi6Dtd6finitiOD。 2.studentsintheformofequationsofthestandard understandlngoftheslngle， mostofthestudentswith eoordinatescorresPOnding， ShaPeanddoeSnotcorreSPOndto thenumberofverygoodhands. 3.MathematicalwayOfthinkingbecauseOfthelackOf understandingoftheconnotatlons， andthestudents themselvestosolveProblemsintheexistingobstaclesto thinking， studentsusemathematicalwayOfthinkingtaPer curveofacomPrehensivesettlementOftheiSSue15theabllity Ofth6Weak Basedontheabovethreeissues， thePaPerforteachersto imProvestudentsProblem一 solvingability， selfcontrol， aPPliedmathematicsknowledgecaPacityofaneffectiveway toseveralProPosals: 1.APOSEtoimProvetheuseoftheeoncePtofteaching 2.TeacherstoimProveteaehingstrategies， emPhasisonmath teachingmethods.AtthesametimeimProvetheirown 乙 maties，Problem一 solvingskills， teaehingtobreaktheformationofthinking.50astoaehieve abroaderefforttoenhaneestudentsthinking，creative thinking， suchasquality. 3.ConieofthediffieultiesconictwoPOintsOnastraight lineonthesyl.metryoftheexistenceofProblemsandexPlore th6D6Wmethod。 Keywords:probie!u一soiv土ng， mathematicalthinking， mathematicalwayofthinkingquality， Interestinlearning， theconcePtofgender， differencesinteachingConic ) 目录 中文摘要·················································································……I 英文摘要·················································································……n 第一章:引言··············································································……1 1.1研究背景··············································································……1 1.2研究综述··············································································……2 1.2.1关于数学能力的性别差异的相关研究·······································……2 1.2.2有关问题解决及相关研究······················································……4 1.2.3对圆锥曲线中数学思想方法的相关研究····································……6 1.3研究问题··············································································……n 1.3.1学生学习的兴趣态度····························································……n 1.3.2学生对圆锥曲线中有关概念的理解··········································……12 1.3.3学生对圆锥曲线中蕴涵的数学思想方法的掌握···························……14 第二章:研究方法·····························································……‘’‘·‘··…’16 2.1研究工具··············································································……16 2.1.lsOL0分类法·····································································……16 2.1.2统计工具EXCEL2003.···············································……17 2.2研究过程··············································································……17 2.3研究对象··············································································……17 2.4具体实施过程········································································……18 2.5有效试卷···············~················。···············~·~·····一18 2.6研究对象的代码·················································~··…’19 第三章:研究结果与分析······························································……’20 3.1学生学习兴趣态度的调查·························································……20 3.2学生对圆锥曲线概念的理解······················································……22 3.3学生对数学思想方法的运用······················································……犯 3.4研究结论··············································································……44 第四章:对教学的建议及研究的不足················································……44 4.1提高学生学习数学的兴趣·························································……44 4.2运用APOSE改进概念的教学···················································……44 4.3教师要提高教学策略，注重数学思想方法的教学···························……49 4.4对圆锥曲线上两点关于直线对称存在性问题的探究························……50 4.5研究的不足···········································································……57 参考文献·················································································……58 附录1····················································································……61 附录2····················································································……62 附录3····················································································……65 附录4····················································································……68 致谢·······················································································……70
你好，我有相关论文资料（博士硕士论文、期刊论文等）可以对你提供相关帮助，需要的话请加我，7 6 1 3 9 9 4 5 7（扣扣），谢谢。