向量的應(yīng)用與教學(xué)研究.pdf

1、華中師范大學(xué)碩士學(xué)位論文向量的應(yīng)用與教學(xué)研究姓名：阮明焱申請學(xué)位級別：碩士專業(yè)：學(xué)科教學(xué)論數(shù)學(xué)指導(dǎo)教師：陳志云20070510⑥碩士學(xué)位論炙MASTER’STHESISAbstractVectorisoneoftheimportantandbasicconceptsinmodCEllmathematicsItisalsoatoolthatlinksupalgebra，geometry，andtrigonometricIthaswidel

2、yappliedinsolvingproblemsforitsgeneraloperations，geometricalvisualization，andconcisenessinexpressingideasTherefore，the砧achingandlearningofvectorsdoesnothelpstudentsbuildanintegratedbodyofmathematicalknowledgebutalsoenhan

3、cetheirabilitiestosolvetheproofproblemsingeometryRelativeliteratureshowsthatitisstillaverydifficulttopicinschoolmathematicsduetothenegativeinfluenceoftraditionalmathematicknowledgeSpecifically，bothteachersandstudentsexpe

4、riencealotofdifficultiesingraspingthebasicknowledgeofvector，inpromotingtheapplicationofvector，andintheteachingandlearningofvectorsInthisthesis，weshallfirstfocusoHthebasicknowledgeaboutvectorsincludingthosethatarealreadyp

5、resentedinthecurrentmathematicstextbooksusedinschoolsandthosethatalenotyetpresentedinschooltextbooks，butbasicincertaillse地e1miseffortismadetoformacompletestructureofbasicsinvectorWethenmakeasystematicanalysisofthosetopic

6、sinvectorinschoolmathematicsParticularly，wediscBssthevariousapplicationsofvectorinschoolmathematicswithexamplesWealsocompareitsappHcationswiththosetraditionalmethodsT1liskindofcomparisonhelpsusseotheadvantagesofvectormet

7、hodovertraditionalmethodsFinallywedidasurveytoinvestigatethecurrentstatusofvector’Steachingandlearninginschools、ⅣcfoundthatbothteachersandstudentsmawaIeofthepotentialusageofvectorsHowevertheyonlyUSeitwhenthetraditionalme

8、thodsdonothelpthemsolvetheirproblemsInthiscasc，thevectormethodisusedasabackupWealsofoundthatthevectormethodobviouslysuperiortothetraditionalmethodsintheaccuracyofmathematicproblemsolvingandthevectormethodisalittlemoreeff

9、icientthanthetraditionalmethodseveHthoughthedifferencehasnotreachedasignificancelevelinsolvingsolidgeometricalproblemsSomesuggestions眥alsomadeattheendofthethesisforimprovingtheteachingandlearningofvectorsinschoolsKeyword