traditional instruction of differential equations and微分方程的传统教学

《traditional instruction of differential equations and微分方程的传统教学》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

1、TeachingMathematicsandItsApplications(2010)29,94^107doi:10.1093/teamat/hrq001AdvanceAccesspublication15February2010TraditionalinstructionofdifferentialequationsandconceptuallearningSELAHATTINARSLANKaradenizTechnicalUniversity,FatihFacultyofEducation,PrimarySchoolMathema

2、ticsTeacherTraining,Trabzon,TurkeyEmail:selaharslan@yahoo.frDownloadedfrom[SubmittedJuly2009;acceptedJanuary2010]Proceduralandconceptuallearningaretwotypesoflearning,relatedtotwotypesofteamat.oxfordjournals.orgknowledge,whichareoftenreferredtoinmathematicseducation.Proc

3、edurallearninginvolvesonlymemorizingoperationswithnounderstandingofunderlyingmeanings.Conceptuallearninginvolvesunderstandingandinterpretingconceptsandtherelationsbetweenconcepts.Therelationshipbetweentheselearningtypeshasbeendiscussedforalongtime.Forsomeresearchers,proc

4、eduralknowledgeformsthebasisforconceptualknowledge,whileforotherstherelationshipisreversed.Theaimsofthestudyreportedherewerefirsttoexplorethenatureofstudents’learningintraditionaldifferentialequations(DEs)coursesandsecondtoclarifytherelationshipbetweenproceduralandatVIVA

5、CommunityCollegesonApril5,2011conceptuallearning.Toaddresstheseaimsanachievementtestwith13open-endedques-tions,probingproceduralandconceptuallearningwithregardtoDEs,wasadministeredto77candidatemathematicsteachers,enrolledinatraditionalDEscourse.Theanalysisofstudents’resp

6、onsestothetestitemsshowedthat85%ofcandidateteachersgavecorrectresponsesonproceduralquestionswhilstonly30%ofthemgavecorrectresponsestotheconceptualquestions.Thesefindingssuggestthatthecandidateteachers’learningwasprimarilyproceduralinthecontextoftraditionalinstructionandc

7、ontentandthatthisdidnotleadthemtodeveloptheconceptualknowledgeneededtointerpretnewsituationsproperlyandtoproducenewideasbeyondtheonestheyhadmemorized.Inaddition,baseduponthestudentlevelsinbothproceduralandconceptuallearning,itwasconcludedthatconceptuallearningsupportsand

8、generatesprocedurallearningbutprocedurallearningdoesnotsupportconceptuallearning.1.IntroductionSincedif