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1、TeachingMathematicsGraduateStudentsHowtoTeachSolomonFriedbergrueorfalse:“Theprimarytaskofamath-consumersrightlyexpectthattheproducttheyematicsgraduatestudentistolearn,andpurchasewillbeworththecost.Anditisnotagivenultimatelytocreate,mathematics.”Mostt
2、hatasmathfacultyretire,theywillbereplacedbyTgraduateschoolfaculty,includingthisnewfaculty.Ifwecannotsucceedattheteachingauthor,wouldheartilyagree.Butsuchanofmathematicstoundergraduates,thenthepres-individual,upongraduation,willbeaskedtoteachsuretohav
3、eothersdosoinourplacewillincrease.hisorherowncourseintheacademyortoworkInthelongrun,then,mathematicswilldobetteraspartofagroupinindustry.Itisnaturaltoex-ifthenextgenerationofmathematiciansonuni-pectsuchastudenttodeveloptheskillsnecessaryversityfacult
4、iesareexcellentteachers.Thetopictodosowhileingraduateschool.InthisarticleofthisarticleshouldthusbeofgenuineimportanceIfocusonsomenovelwaysformathematicstotheentiremathcommunity.departmentstopromotethedevelopmentofteach-Loftyprinciplesandlong-termpers
5、pectivesareing(andcommunication)skills,consistentwithfine,butmostofuslivedaytoday.Graduatetheprimaryfocusonsubjectmattermasterynotedstudentsserveasteachingassistants(TAs),gettingabove.exposuretoteachingandhelpingusdothejobofBeforediscussingteaching,i
6、tseemsappropri-educatingourstudents.TAsdodifferenttasksatatetoacknowledgethattherewasatimenotlongdifferentinstitutions:somerunrecitationsections,agowhenteachingskillswereoflittleimportancesometeachtheirownclassunderthesupervisiontomanyinstitutions.(S
7、eeforexamplethediscus-ofaseniorfacultymember,somearehandedthesionofthePrincetonmathdepartmentinthesyllabustheirfirstdayonthejobandtoldtogoto1950sinSylviaNasar’sABeautifulMind.)Severalit.Inallcases,goodTAsareabenefittoamathe-factorsarecontributingtoac
8、hangeinthisregard.maticsdepartment,bothintheactualteachingofTheUnitedStatesisanationatriskintermsofmathematicstoundergraduatesandinrelationsprecollegiatemathematicseducation,butifwewithotherdepartmentsandtheadministration.donotsucceedinteachingmathem