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TheExplorationandResearchofBlendedTeachingModeBasedon"Internet+"BigDataCloudPlatformXiangMa(&),XuhuiFan,WeiLi,JiangtaoLi,andQiongLiFoundationDepartment,EngineeringUniversityofPAP,Xi'an710086,Chinamaxiang1309@126.
comAbstract.
Inthelightofproblemsinonlineteachingofnewcoronavirus(2019-nCoV)epidemicperiodinadvancedmathematicscurriculum,thispaperanalyzestheteachingeffectofshort-termone-wayonlineeducationmodeintheteachingpracticeofconcretecoursesbyusingthereal-timedataof"rainclassroom"teachingmanagementplatform.
Abovethatthispaperexploreandpracticethehybridteachingmodebasedon"Internet+"bigdatacloudplatform,aimingatpromotingthe"Internet+Education"informationtechnologyandcurriculumteachingdepthintegration,improvingtheteachingeffect,andpro-motingeducationandteachingreform.
Keywords:AdvancedmathematicsTeachingmodeRainclassInternet+1IntroductionWiththedevelopmentofeducationaltechnology,theupdatingofeducationalmodeandthechangeoftalentdemand,thecurrentteachingmodeofcollege[1,2]mathematicshasbeenchallengedseverely.
Inparticular,withthenewcoronavirus(2019-nCoV)outbreakinlargeareasoftheworld,forcingofineeducationtotemporarilyhalt.
Inthe"epidemic"impact,thecurrentteachingsituationwillpushbacktheteachingphilos-ophymustbefurtherupdated.
Atthesametime,theteachingsituationmustrequiretheintegrationofspeciccurriculumteachingandonlineteaching,drivethecoordinateddevelopmentofeducationalresourcesinthewholesociety,promotethereformofinformationteachingtobeconcrete,deepanduniversal,andthenpromoteanewroundofteachingmode[3–5]reformtothedeepwaterarea.
Atthistime,alargenumberofscholars,educatorsareconductingin-depththinkingandexploration.
ThispaperisaimedattheexplorationandpracticeofonlineteachingofAdvancedMathematics,andanalyzesthenewproblemsintheprocessofimplementing"RainClassroom"platformincurriculumteaching.
Ahybridteachingmodelbasedon"Internet+"bigdataisputforwardinordertoimprovetheteachingqualityofnew-typecompoundtalents.
SpringerNatureSwitzerlandAG2021L.
Barollietal.
(Eds.
):IMIS2020,AISC1195,pp.
334–343,2021.
https://doi.
org/10.
1007/978-3-030-50399-4_322CurrentSituationandAnalysisofOnlineTeachingModel2.
1TheDevelopmentProcessofOnlineTeachingModelinChinaSincethe1970s,Chinahasestablishedradioandtelevisionuniversitiesinvariouspartsofthecountry[6].
Theuseofsatellitetechnologyfordistancelearningtomeettheneedsofsocialworkerstolearn,toobtaindiploma.
Withthedevelopmentofscienceandtechnology,distanceeducationischallengedseverely.
In2012,theNationalOpenUniversitywasofciallyestablished,andtheoriginalRadioandTelevisionUniversityhasbeensuspendedortransformedintoalocalOpenUniversity.
Asaresult,anopenuniversitysystemwithChinesecharacteristicshasbeeninitiallyformed.
Basedonthis,2012isalsoknownasChina's"rstyearofMOCs".
Withthefurtherdevelopmentofscienceandtechnology,therearemanyformsofonlinecourses,suchasMicro-Course[7],MOOC[8,9]andSPOC[10].
Inordertobetterregulatetheecologyofonlineeducation,inApril2018,theMinistryofEducationissuedthe"ActionPlanforEducationInformatization2.
0",whichpromotestherapiddevelopmentofonlineeducationbasedonthe"Internet+Education"platform.
However,theexplorationofonlineteachingmodeformathematicscurriculumhasnotobtainedtheuniversallaw,anditsteachingeffecthasnotbeenveriedbytheteachingpracticeonalargescale.
Chinarstbeganthe"suspensionofclassesnon-stoplearning"teachingmodel,Withanewcoronavirusoutbreakintheworldby2020.
Asaresult,onlineeducationhasbeencarriedoutinanall-roundwayinChina,whichprovidesthepossibilityforonlineteachingpracticeverication.
2.
2TheCurrentSituationofOnlineTeachingModeofAdvancedMathematicsThispaperbasedontheteachingmanagementplatformof"rainclassroom",thecourseofHigherMathematicsusesthedataobtainedbyonlineteaching,andutilizesthemethodofcomparativeanalysistogetthefollowingresults,asshowninFig.
1.
Throughthedataanalysis[11],wecanconcludethatthestudents'satisfactionwiththeonlinelearningplatformishigh,whichfullyshowsthattheonlineteachingplat-formhasplayedasupportingroleintheteachingofhighermathematicscourses[2].
Atthesametime,theanalysisresultsalsoreectsomeproblemsinonlineteaching.
"LiveVideo"istheMainFormofOnlineTeachingusedbyteachers,however,studentsrarelyusewatching"MOOC"forself-study,whichshowsthatpersonalizedlearningexperienceisthefocusofstudents.
Theonlineinteractiveseminardidnotachievetheexpectedresults,whichshowsthatitisveryimportanttoanswerquestionsandprovidetutoringtoensurethequalityofteaching.
Teachersprovidematerialsstudentsself-studypopularizationrateislow,indicatingthatthepreparationstageofonlineteachingstillneedstobeimproved.
Theassignmentofhomeworkismorefrequent,whichshowsthatonlineteachingdoesnotreallyreducetheteachingburdenofteachersandstudents.
TheExplorationandResearchofBlendedTeachingMode3352.
3TheAnalysisoftheCurrentSituationoftheOnlineTeachingModeofAdvancedMathematicsThedevelopmentofonlineeducationisbasedonthetheoryofconstructivism.
Itisateachingorganizationactivityinwhichteachersrelyonthenetworkplatformtocompletetheteachingtaskandachievetheteachinggoalaccordingtotheteachingplan.
Thismodelcanmakeupfortheshortcomingsoftraditionalteaching,andtoalargeextentcansatisfythepubliceducation,especiallythevocationaleducation.
Especiallyinthe"2019-nCoVepidemic"period,onlineeducationshowsitsstrongadvantages.
Inaddition,duringthespecialperiodof2019-nCoVepidemic,onlineeducationshowsstrongadvantages.
Atthesametime,onlineeducationalsohasmanydisadvantages.
Theadvantagesanddisadvantagesofonlineteachingmodeareana-lyzedandcomparedasshowninTable1.
AdvancedMathematicsbelongstothebasiccourseofcultureincollegesanduniversities.
Thecoursehasahighdegreeofabstraction,rigorouslogicandwideapplication.
Forcoursecontentsinvolvingcalculation,proofandlogicalreasoning,studentsprefertheclassroomteachingmodeofgradualdeductionandcalculusdisplaybytheblackboard.
Butforsomecoursesthataremorecloselyrelatedtolife,studentspreferteacherstouseexperimentaldemonstrationordynamicdisplaywiththehelpofnetworkresources.
Thus,thetwodifferentteachingmodescannotfullyadapttodif-ferentteachingcontents.
Onlineteachingcanhelpstudentstoexpandtheirknowledgewiththehelpofonlinehigh-qualityresources,letthestudentsacquirelearningknowledgeanytime,anywhere,convenientlyandquickly,andstudentsadjusttheirlearningprogressinrealtimeaccordingtotheirlearningsituation.
Traditionalclassroomteachingishelpfulforstudentstoacquirelearningknowledgesystematically,comprehensivelyandefcientlyinashorttime,anditcancultivatestudents'systematic,logicalandcreativethinkingmode,atthesametime,cultivatestudents'emotionalvaluesandmoldcompleteindependentpersonality.
Pre-studybybookNopre-studyLivevideostreamingClassonlineinteractionAnsweringquestionsafterclassCheckhomeworkHomeworkcompletionrateFig.
1.
Thecurrentsituationofonlineteaching.
336X.
Maetal.
Table1.
AdvantagesanddisadvantagesofonlineteachingmodelOnlineteachingbasedon"rainclassroom"TeachingadvantageTeachinginferiorityTeachingresourcesNumerousteachingresourcesandplatforms.
Suchas:MOOCofChineseuniversity,schoolonline,NetEaseopencourseetc.
Onlineresourcesarenumerous,whichmakesitdifcultforstudentstochoosesuitablelearningresourceseffectivelyTeacheraspectsAdvantageoustoimprovethecomputeroperationabilityofteachersandtheapplicationofsoftwareskillsSpendalotofenergyandmoneytomakecoursewareandscreenresourcesReceivereal-timefeedbackfromallparticipantsonlinelearningwiththehelpof"rainclass"Itcannotgoodforteacherstoadjustteachingstatusinrealtimeduetothelackofface-to-facecommunicationTeacherscanmakefulluseofnetworkresources,multi-dimensionalmulti-levelbetterdisplayteachingcontentCannoteffectivelymonitortheteachingimplementationprocess,forensuretheteachingeffectStudentaspectsFullymobilizetheenthusiasmofstudentstolearn,realizestudentsasmasters,improvethequalityofteachingVirtualnetworkenvironmentisnotconducivetocultivatingstudents'senseofcooperation,competitionanddisciplineEncouragestudentstousemobilephonestoactivelyuseactivelearningThiscannotimprovecultivatingstudents'emotionalvaluesandpersonalitybuildingwiththecoldcomputerinterfaceItishelpfulforstudentstochoosetheirownlearningstyle,learningmaterialsandlearningprogressaccordingtotheiractuallearningsituationThisteachingmodelisbadtothegrowthofthestudentswithpoorself-controlability,becauseitrequireshigherself-controlabilityofthestudentsIntegratedaspectsThismodelcanimprovethequalityofthepeople,soastoachievecomprehensivelearningandlifelonglearningHighrequirementsforhardwareandsoftwarefacilities,networksignaltransmissionandenvironmentalfactorsFragmentaryknowledgeishelpfulforstudentstomakefulluseoflearningknowledgeTherearemanyproblemsinonlineteaching,suchasnetworksecurity,signaltransmission,coursecharge,etc.
BetterTeachingWorkinRuralRemoteandPoorSchoolsTheteachingeffectispoorbecausethereisnoblackboardEffectiveeducationalmodelsforspecialtimes(e.
g.
,globaloutbreakof2019-nCoVin2020)Theteachingcontentsarefragmentaryandlackofsystematization,whichiscannotcultivatestudents'systematicthinking,logicalthinkingandassociativecreativethinkingTheExplorationandResearchofBlendedTeachingMode337Therefore,ifwecanintegratetheadvantagesofonlineteachingandofineteachingorganically,andexploreahybridteachingmodeinlinewiththecharacteristicsofhighermathematicscurriculum,andthenapplyittoteachingpracticetoimprovetheteachingeffect,itisbenecialfortherealizationofteachingobjectivesandtheimprovementofteachingquality.
3BlendedTeachingModeBasedontheteachingpracticeandresearchof"AdvancedMathematics",thispaperproposesablendedteachingmodebasedon"Internet+"BigDataCloudPlatformforClassroomTeachingandOnlineTeaching[12](AsshowninFig.
2).
AsshowninFig.
3,Intheprocessofteaching,therearethreestages:pre-class,in-classandafter-class.
Beforeclass,teacherssendclassannouncements,pushpreviewcoursewarethroughtheonlineplatform,andimprovepre-classpreparationwork.
Inthisway,studentscanbefamiliarwiththekeyanddifcultpointsinthiscourseinadvance,andcanndmaterialsbeforeclass,previewinadvance,andchangepassiveacceptancelearningintoactiveexplorationlearning,whichisbenecialforstudentswithdifferentlevelsofculturalfoundationtopreparefordifferentsituationsbeforeclass,soastoenhancestudents'learningenthusiasmandimprovetheteachingqualityandeffectivenessofthecourseintheteachingprocess.
Intheclass,itmainlyusestheformofclassroomintensivelectureorclassroomdiscussiontoteach(theteachingcontentofspecialperiodorspecialchaptercanalsousetheonlineteachingmode),soastorealizethenewteachingmodewithstudentsasthemainbodyandteachersastheleadingrole,soastopromotestudentstobecometheprotagonistsoflearningandFig.
2.
Blendedteachingmodelbasedon"Internet+".
338X.
Maetal.
teacherstobecometheguidersofstudents'growth.
Finally,inviewofthedecienciesinthelearningprocessofstudents,throughtheafter-schoolQ&Aandafter-schooltestandcommentlinktocheckthedecienciesandmakeuptheomissions,improvetheteachingprocess.
Accordingtothedifferentactualsituation,theblendedteachingmodehasmanydifferentmethodsoforganizationandimplementation.
AdvancedMathematicsCourseisorganizedonthePlatformof"RainClassroom",Inthispaper,theresearchersdeeplythinkandanalysis,andputforwardtheexplorationandresearchofthemixedteachingmodefromthefollowingdimensions.
Inthecourse,basedontheclassroomteaching,therainclassroomscreenrecordingmodeisadoptedtointegratetheonlineandofineteachingprocess.
Firstofall,whenconfrontedwithadifcultproblem,thestudentsexpressedtheirconfusionbysendingshrapnel.
Accordingtothecueofbulletscreencombinedwiththestudents'expres-sions,theteacheradjustedtheteachingstatusintimetoanswerthestudents'doubts.
Secondly,withthehelpofnetworkplatform,itisconvenienttorecordthedataofstudents'learninginclass.
Finally,therecordingsoftwarecanrecordthewholeteachingprocess,whichisconvenientforstudentstoreviewafterclassandlistentothecoursecontentrepeatedly.
Throughthecombinationofonlineandofinemodels,teacherscancountthesubjectswithhigherrorrateandelaborateintheclassroom.
Weexplainthesetopicspreciselyinclass.
Forasmallnumberoftopicswithlowerrorrate,teachersusethewayofrecordingandexplainingvideostopushtoeveryoneonline,studentswithaweakfoundationcanchecktheexplanationofthecorrespondingtopicaccordingtotheiractualsituation.
Fig.
3.
ChartofimplementationofmixedteachingmodelTheExplorationandResearchofBlendedTeachingMode3394PracticeandEvaluationofBlendedTeachingModeintheCourseofAdvancedMathematicsThispaperselects"spatialcurveanditsequation"astheteachingcontent,combineswiththeanalysisoflearningsituation,adoptsthemixedteachingmodetodesigntheteachingcontent,andcarriesouttheteachingevaluationbasedonthebackgrounddataof"rainclass",inordertotesttheteachingeffectoftheabovemixedteachingmode.
4.
1TeachingContent"Spatialcurvesanditsequations"aretheimportantgeometricbasisforsupportingthecalculusmoduleofmultivariatefunctions.
ItislocatedinthesixthsectionoftheeighthchapterofseventhoftheAdvancedMathematicsCurriculumedition,TongjiUniversity(VolumeTwo).
Beforethat,studentshavebeenfamiliarwithplanecurvesandhavelearnedspecialcurves-straightlinesandtheirequations,whichpavesthewayforthislesson.
4.
2AcademicAnalysisCivilEngineeringStudentsSelectedasTeachingObjectsinThisClass.
Thestudentsareingoodlearningcondition,activeinthinkingandstronginpracticaloperation,buttheirbasicknowledgeisweak,andlacktheabilityofindependentanalysisandindependentinquirylearning.
Beforelearning,studentshaveknownaboutspacestraightlineandplanecurve,buttheydon'tknowaboutspacecurve.
Inviewofthesecharacteristicsofstudents,usingtheformofonlineexercisetest,teacherscandetectthestudent'sspatialanalyticgeometryofthebasicknowledgegrasp.
4.
3Three-DimensionalLearningGoalsAccordingtothetalenttrainingplanandtheimplementationplanofadvancedmath-ematicscourse,combinedwithstudents'cognitivepsychologicalcharacteristics,theteachingobjectivesofthiscoursearedeterminedasfollows(Table2):340X.
Maetal.
4.
4TeachingImplementationProcessSeeTable3.
Table2.
Three-dimensionallearninggoalsKnowledgegoalsThegeneralequationofspacecurveandparameterequationshouldbemasteredbystudentsTheyshouldbemasteredbythestudentswithKnowledgeoftheprojectionofintersectinglinesofaspacesurfaceonacoordinateplaneCapabilityobjectivesStudentswereabletoestablishtherelationshipbetweenspatialcurvesandequations,intheirminds,geometryispresented.
TheirspatialimaginationisenhancedWiththehelpofthecombinationofnumbersandshapes,studentshaveimprovedtheirabilitytouseadvancedmathematicstheory,knowledgeandskillstosolvepracticalproblemsEmotionalgoalsTheinterestofthestudentsisstimulatedbythestudyofmathematic.
Students'desiretoexploreindependentlyissatised.
TheyareeagertostudythequantitativerelationshipinthenaturalenvironmentTheywereabletoappreciatetheconnectionbetweenmathematicsandreality.
TheyexperiencedtheprocessofmathematicalknowledgebeingdiscoveredandcreatedDialecticalmaterialismisacceptedbythestudentsandpatrioticsentimentisarousedTable3.
PracticeofhybridteachingmodelTeachingmoduleImplementationstepsPreparationbeforeclassTheteacherissuestheteachingannouncementandpushestheteachingvideoofspacecurveinMOOCAdvancedMathematics(IV)ofNationalUniversityofDefenseScienceandTechnologyThroughthe"Rainclassroom"teachingplatformtopublishpreviewcourseware,studentscanintuitivelyfeeltheshapeofthespacecurveaccordingtothespecicpicturesgiveninthecourseware(suchasthedeckofanaircraftcarrier,BirdNest,BeijingDaxingInternationalAirport)ThePreviewCoursewareof"RainClass"hasthefunctionoftesting.
Teacherscanusethisfeaturetoteststudents'previewsIntherainclassroomplatform,studentsaredividedintogroupsaccordingtotheirlearningsituation.
Theysolveproblemsincollaboration(continued)TheExplorationandResearchofBlendedTeachingMode3414.
5TeachingEvaluationAccordingtotheresultsoftheexercisesinthepreviewcourseware,wecanevaluate[13]thestudents'previeweffect.
Table3.
(continued)TeachingmoduleImplementationstepsImplementationprocessintheclassroom1.
Accordingtothepreparationbeforeclass,teacherscommentontheeffectofpreview2.
TheteacherexplainedtheconceptofgeneralequationsofspatialcurvesParametricEquationofSpaceCurveintheclass3.
Collaborativegroupdiscussions:Question1za2x2y2pxa22y2a24(expresswhatkindofcurveQuestion2:SpacemovingpointMonthecylindricalsurfacex2y2a2atangularvelocityxaroundZ-axisrotationandlinearvelocityvalongtheparalleldirectiontoZ-axis,pointMmotionlocusiscalledhelix.
Trytoestablishitsparametricequation4.
OrganizegroupevaluationsConclusionsofQuestionsExploredbeforeClass5.
TheteachersummeduptheproblemandextenditExpand1:Use3DdynamicpicturestoshowVivianicurve,andaskstudentstondotherlifeexamplesExpand2:Changethepitchofthecylindricalhelixtoproduceaconicalhelixanddisplayitusing3Ddynamicimages,andaskstudentstondotherlifeexamples6.
Collaborativegroupdiscussions:(1)HowtoDrawaSpaceCurveonaPlane(2)FindtheprojectionofthespacecurveConthexoycoordinateplane7.
Theteachersummarizedtheprojectionmethodsandexplainedtheirapplicationinengineeringdrawing8.
Forsomeengineeringobjects,thestudentsexploredtheirprojectionsondifferentcoordinates9.
Accordingtotheteachingcontentsofthisclass,teachersandstudentssummedupthemethodstodealwithpracticalproblemsAfter-schoolevaluationReleasethehomeworkafterclassthroughtheteachingplatformof"RainClassroom"Throughthe"rainclassroom"teachingplatformtopromotethedevelopmentofresources:suchastheapplicationof"MuHeFangGai"(forexampleCCTVstandard,mechanicalengineeringcomponents)342X.
Maetal.
Accordingtothecorrectrateofthetime-limitedquestionssentinclass,wecanevaluatethestudents'masteryofknowledge.
Accordingtothetime-limitedexaminationpaperssentonlineafterclass,wecantestthestudents'learningeffect.
5ConclusionBasedontheteachingpracticeofhighermathematics,relyingonthe"Internet+"bigdatacloudplatformandusingthe"rainclassroom"informationtechnology,thispaperinnovatestheteachingmode,topromotestudentstobecometheinitiatoroflearning,theorganizerofseminarsandeventheinnovatorofknowledgeapplication.
Thisisboundtobreaktheoriginalknowledgesystemandframeworkstructure,soastopromotetheeducationreformtoadeeperlevelsothattheteachingquality,theteachingeffectaswellasthedockingsocialdemandwillmakethebreakthroughprogress.
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