PAGE\*MERGEFORMAT19简谈数形结合思想在小学和中学的应用熊严摘要:数形结合思想是一种数学思想方法，它的用途是使抽象的问题具体化，复杂的问题简单化，以达到优化解题，正确解题的目的。数形结合思想从小学教学就开始渗透，小学生的思维是具体的、形象的。那么，在数学教学中老师通常会将图形和概念结合起来讲解，这样一来学生便不会觉得数学是一门枯燥且学不懂的学科了，也会让学生产生学习的兴趣。在初中的数学教学中，我们会发现很多知识都会结合数形结合思想来学习。数形结合思想已然成为了优化解题的重要方法之一，也对提升学生的综合解题能力有一定的帮助。在高中的数学学习中，数形结合思想可谓是贯穿整个高中的数学教学过程，对学生的数学思维的构建起到了重要作用。并且，由于几何和代数在高中阶段已经有了明显的分化，而数形结合思想却巧妙的将二者再次结合、统一起来了。进一步提高了解题效率，优化了解题步骤。总之，数形结合思想是我们数学学习过程中的一大重要且持久的思想。关键词:数形结合思想;小学数学;中学数学ABriefTalkontheApplicationoftheCombinationofNumberandShapeinPrimaryandMiddleSchoolYanXiongSchoolofmathematicsandinformationMathematicsandappliedmathematicsGrade2016Instructor:FangRenYangPuAbstract:Thecombinationofnumberandshapeisamethodofmathematicalthinking.Itsmainpurposeistomakeabstractproblemsconcreteandmakecomplexproblemssimplesothatitcanachievethepurposeofoptimizingandsolvingproblemscorrectly.Thethoughtofcombinationofnumberandshapepermeatesfromprimaryschoolteachingandpupil’sthinkingisspecific,figured.Soteachersusuallycombinegraphicandconceptstoexplaininmathematicalteaching,whichnotonlymakesstudentsbefocusedandmoreiseasierforthemtolearnbutalsoletthemdevelopaninterestinlearning.Injuniorhighschoolmathematicsteaching,wecanfindeasilythatalotofknowledgeiscombinedwiththethought,combinationofnumberandshape,tolearn.Sowecanseethatthethoughthasbecomeoneoftheimportantmethodstooptimizetheproblemsolvingandisalsohelpfultoimprovetheirabilitytosolveproblemscomprehensively.Meanwhile,inhighschoolmathematicslearning,Thecombinationofnumberandshapeisthoughtthroughouttheentirehighschoolmathematicsteachingprocessandplaysanimportantroleintheconstructionofstudentsmathematicalthinking.Andduetothecleardivisionbetweenthegeometryandalgebrainhighschool,thecombinationofnumberandshapecombinesthemskillfullyagain,whichfurtherimprovestheefficiencyofsolvingquestionsandoptimizethesolutionapproaches.Allinall,thecombinationofnumberandshapeisanimportantandlastingthought.inourmathematicallearningprocess.Keywords:combinationofnumberandshape;prima