數(shù)學學習中的概括.pdf

1、南京師范大學碩士學位論文數(shù)學學習中的概括姓名：陳嫣申請學位級別：碩士專業(yè)：課程與學科教學論指導教師：涂榮豹2003.5.1AbstractGeneralizationinMathematicsLearningGeneralizationisoneofthemostessentialcharactersofmathematicsWhatmathematicsconcernsishighlygeneralizedmaterialsoftho

2、ughts，andgeneralizationisawaytomathematicsresearch，whatsmore，thedevelopmentofmathematicsisalsoaprocessofgeneralizationThereforeinthesenseofthecharactersofmathematics，generalizationisneededinmathematicslearningOntheotherh

3、and，generalizationisthebaseofmathematicslearningandgeneralizationabilityisthekeytothedevelopmentofmathematicsabilityandmathematicsgeneralizationlevelisanimportantmarkofmathematicslearninglevelThebasicandimportantroleplay

4、edbygeneralizationcallsforgeneralizationinmathematicslearningGeneralizationisaimedattheessentialattributeandcommoncharacterofmathematicsobject，generalizationhassuchcharacterasdualityprocess，andgradationGeneralizationisfo

5、undeverywhereinmathematicslearningThispaperenumeratesthegeneralizationofthemeaningofmathematicalsymbol，numberandform，relation，structure，operationandinference，andthinkingmodesofmathematicsGeneralizingisaprocessofseveralth

6、inkingactscoordinatinganditcontainsfivesteps：watchingtakingfilteringextending。andaffirmationIntheprocessofmathematicslearningstudentsshouldalwayslookforandtakeacertaineffectivewayofgeneralizationasathinkingthread，andmake

7、perceptualknowledgerisetationalknowledge，thusimprovegeneralizationofmathematicsknowledgeThereareseveralkindsofgeneralizationinmathematicslearning：analogicalgeneralization，inductivegeneralizationabstractgeneralizationandb

8、riefgeneralizationTheuItimatepurposeofstudyinggeneralizationinmathematicsistoputthecommontheoreticalknowledgeaboutgeneralizationintotheprocessofmathematicsteachingandlearningsoastoinstructtheteachingofteachersandimprovet

9、helearningofstudentsOnthebaseofsurveyofstudent’smathematicsgeneralizationabili哼，thepaperputsforwardsomeadviceonimprovingstudent’smathematicsgeneralizationlevelinconceptteachingpropositionteachingproblemsolvingteachingand