Mathematical Association of America Fall 2019...

MathematicalAssociationofAmericaFall2019JointMeetingofthe

NewJerseyandMetroNewYorkSections

EssexCountyCollege303UniversityAvenue

Newark,NJ

Saturday,October26,2019

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MathematicalAssociationofAmericaNewJerseyandNewYorkMetroSections,Fall2019MeetingProgram

AlleventstakeplaceintheMegastructureBuilding8:30–9:30 RegistrationandCoffee;ReceptionArea9:00–1:30 BookExhibits;ReceptionArea9:30–9:40 WelcomebyDr.DenisBlackmore,ProfessorNJITand

RecipientofMAATeachingExcellenceAward;SieglerHall9:40–10:30 GroupLocomotioninFluids,JunZhang,NYU.Presider:

SatyanandSingh,CUNY;SieglerHall10:30–10:45 MAA-NJBusinessMeeting;room211510:45–11:10 IntermissionandBookExhibits;ReceptionArea11:10–12:00 CountingCurves:TalesfromtheEnumerativeCrypt, Susan

JaneColley,OberlinCollege. Presider:DawnNelson,SaintPeter’sUniversity;SieglerHall

12:00–1:30 Lunch;rooms2101B,2110,2111,2113,and21151:30–2:45 Workshop:EncouragingCreativityinMathematics,

PresentedbyMikaMunakata,AshwinVaidya,andCeireMonahan,MontclairStateUniversity;room4135

1:30–3:05 ContributedPaperSessions;rooms2101B,2110,2111,2113,and2115

3:00–3:30 IntermissionandRefreshments;ReceptionArea(Silentauctionbiddingendsat3:30)

3:35–4:25 Unsolved(andSolved)ProblemsFromTheOn-LineEncyclopediaofIntegerSequences, NeilJ.A.Sloane,RutgersandtheOEISFoundation.Presider:DavidNacin,WilliamPatersonUniversity;SieglerHall

4:30–5:00 PrizesandAwards;Doorprizesandsilentauctionwinners(mustbepresenttowin);SieglerHall

5:30 DinnerHonoringSpeakers,SpanishPavillion,31HarrisonAve.,Harrison,NJ07029

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AbstractsandBiographiesofSpeakers

GroupLocomotioninFluidsJunZhang

NYUCourantInstituteofMathematicalSciencesUnderstandinghowanimalsmoveisveryimportanttousaswetrytocomprehendtheanimalkingdomandbeinspiredbytheirstrategieswhenmovingabout.Subjecttophysicallaws,animallocomotiongaitsmaylookvastlydiverseacrossmanyspeciesbutmostofthemdosharesomeverycommonfeatures.Forexample,birdsflaptheirwingsintheairandfishflapcaudalfins(tail)inwater.Suchflappingmotionsandtheirinteractionwiththesurroundingfluidshasbeenacentralprobleminfluiddynamics.Inthistalk,Iwilldiscussafewsimpleexperimentsaswestudyhowanimalsmoveinwaterandair.Throughthesestudies,thefamiliarphenomenaofanimalswimmingandflyingmayofferafewsurprises.

JunZhanggraduatedfromWuhanUniversityinChinabeforeheearnedhisPh.D.inPhysicsattheUniversityofCopenhagen,Denmark.AfterapostdoctoralexperienceinbiophysicsatRockefellerUniversity,hecametoNYUandstartedbuildingtheAppliedMathLabattheCourantInstituteandlaterhebecameafacultymemberthere.Hisresearchinteresthasbeeninthefieldofphysicsoffluidsandcomplexsystems,whichincludesbiomechanicsorbio-locomotion(organismalswimmingandflying,andwalking),geophysicalfluids(thermalconvection,continentaldynamics,anderosion),solid-on-solidfriction,urbanheat-islandeffect,andself-organizationphenomenaatmanydifferentscales.

CountingCurves:TalesfromtheEnumerativeCryptSusanJaneColley

DepartmentofMathematics,OberlinCollegeEditorofTheAmericanMathematicalMonthly

WewillconsidertheSteinerproblem(1848)offiveconics:todeterminehowmanyconicsaresimultaneouslytangenttofiveothers.Wewillreviewsomeofthehistorysurroundingthisproblemandsomeoftheingredientsneededtosolveit.Finally,we’llspeedaheadtomoderntimesandbrieflysketchjointworkwithGaryKennedy(OhioState)andLarsErnström(Ericsson)thatusesmathematicaltechniquesinspiredbyideasintheoreticalstringtheorytoaddresssomeanalogousquestionsabout“higher-order”contactofplanecurves.

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SusanColleyistheAndrewandPaulineDelaneyProfessorofMathematicsatOberlinCollegeandcurrentlytheEditorofTheAmericanMathematicalMonthly.ShereceivedherB.S.andPh.D.degreesfromMITinthepreviouscentury.Herresearchinterestslieinalgebraicgeometryandrelatedareas;studentsmayknowherfromhertextbookVectorCalculus,4thed.(Pearson,2012)andcurseheraccordingly.

Unsolved(andSolved)ProblemsFromTheOn-LineEncyclopediaofIntegerSequences

NeilJ.A.SloaneRutgersUniversityandTheOEISFoundation

TheOEIScontains320,000sequencesandhasbeencitedby8000articles.Buteveryfewdaysanewsequenceissubmittedwhichmakesonewanttodropeverythingtotrytosolveit.Hereisacollectionofrecentandnot-so-recentexamples,mostlystillunsolved,arisingfromalgebra,geometry,andnumbertheory.Warning:thistalkmaycauseinsomnia.

NeilJ.A.SloanereceivedaPh.D.degreeinElectricalEngineeringfromCornellUniversityin1967andworkedatAT&TBellLabsuntilhisretirementin2012.HeisanAT&TFellowandaFellowoftheLearnedSocietyofWales,theAMS,andtheIEEE.Heistheauthorofbooksoncodingtheory,spherepacking,optics,integersequences,orthogonalarrays,androckclimbing.OnGoogleScholarhehas54,000citationsandanh-indexof81.HisrecentvideosonYouTubehavebeenviewedthreemilliontimes.

Workshop:EncouragingCreativityinMathematics:TheRethinkingofaGeneralEducationMathematicsCoursePresentedbyDr.MikaMunakata,Dr.AshwinVaidya,andCeire

Monahan,MontclairStateUniversityWhatiscreativity?HowisitrelevanttoundergraduateSTEMeducation?TheCreativityinScienceandMathematicsprojectatMontclairStateUniversity,fundedbytheNSF,challengesthecommonnotionthatcreativityisrelegatedtotheartisticrealm.Inanefforttochallengetraditional,lecture-styleinstructionandtochallengestudents’preconceptionsaboutthe

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natureofscienceandmathematics,wehavedevelopedcoursemodulesforundergraduateSTEMcoursesthatembracecreativeapproachestobothtraditionalandunusualquestions.Throughthesemodules,studentsarechallengedtoaskquestions,testassumptions,andtakeonnon-routineapproaches.Aspartoftheproject,wecollectedandanalyzedbothquantitativeandqualitativedatafromthestudentsandinstructors.ResultsfromYear1indicatethatthecoursemodulesandadaptedinstructiondidhaveanimpactonstudents’understandingsaboutthenatureofmathematicsandattitudestowardthelearningofmathematics.

Inthissession,wewilldescribethesecoursemodulesandtheoutcomesoftherelatedresearchandengageparticipantsinsomesampleactivities.Participantswill:1)LearnaboutamodelforincorporatingcreativityintoSTEMcourses;2)Hearaboutsignificantresultsfromourimplementation;3)Engagewithsomesamplemodules;4)GenerateideasforinstructionalinnovationsthatencouragestudentstoembraceSTEMascreativeendeavors;and5)Considerwaysinwhichtheycanparticipateintheprogram.

MikaMunakataisaprofessorofMathematicsEducationintheDepartmentofMathematicalSciencesatMontclairStateUniversity.InadditiontothisprojectoncreativityinSTEM,herresearchinterestsincludeteacherleadership,interdisciplinarySTEMteachingandlearning,andprofessionaldevelopment.

AshwinVaidyaisanAssociateProfessorinthedepartmentofMathematicalSciencesatMontclairStateUniversity.Heworksonproblemsattheinterfaceofphysicsandmathematics,onissuesofemergenceofpatternsinphysicalsystemsandisalsointerestedinfosteringconditionsintheclassroomfortheemergenceofcreativityinhisstudents.

CeireMonahanisadoctoralstudentandresearchassistantatMontclairStateUniversity.Sheisaformermiddleschoolteacherinterestedindevelopinginnovativewaystoinfusecreativityandmathematicstoimprovestudentlearningalongwithunderstandingbestpracticesinpreparingandsupportingpre-andin-serviceteacherstoteachmathematics.

AbstractsofContributedPaperSessions

Organizer:KathyTurrisi,CentenaryUniversityGeneralContributedPapers;room2101BPresider:KathyTurrisi,kathy.turrisi@CentenaryUniversity.edu,CentenaryUniversity

1:30–1:50:ObamacareMeetsRealAnalysisSamFerguson,sjf370@nyu.edu,NewYorkUniversityAbstract:Lastyear,thespeakermetanUberdriverwhowaseligibleforassistanceinpayingforhealthinsuranceundertheAffordableCareAct,butwhocouldn'tclaimitunderexistingIRSguidance.Inthistalk,wehighlighthowtheoremsandproofsinrealanalysisrevealedflaws

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inIRSguidanceandallowedthoseadverselyaffectedtoclaimassistanceusinganalternateprocedure.WerelatetheIRSguidancetolessonsandconceptswewantourstudentstolearninrealanalysiscourses,suchashowtoapplyone-sidedcontinuity,theroleofmonotonicityinprovingtheexistenceoflimits,andproofbybisection.ThisworkwasfeaturedinanarticleandvideomadeavailablebyMoneymagazineat:http://time.com/money/5237795/irs-tax-problem-obamacare/subsidy/

1:55–2:15:UsingSageMathtoExploretheMathematicsoftheLightsOutGameBoyanKostadinov,bkostadinov@citytech.cuny.edu,NYCCollegeofTechnology,CityUniversityofNewYorkAbstract:Inthistalk,weuseSageMathtoexplorecomputationallythemathematicsbehindtheLightsOutgame.WeofferconcretecodingexplorationsforstudentstoinvestigatetheclassicalLightsOutgameanditsvariants,fromsimpleexercisestoopenproblems,suitableforstudentresearchprojects.WeprovidesampleSageMathcodefornumericalexplorationsandvisualizationsofLightsOut,whichoffersinsightandbuildsintuitionfordeepermathematicalunderstanding.

2:20–2:40:DiscriminantofPolynomialsYusufGurtas,YGurtas@qcc.cuny.edu,QueensboroughCommunityCollegeAbstract:Discriminantofaquadraticgivesusadefinitiveansweraboutthenatureofitsroots.Thesameisalsotrueforacubic,eventhoughit’snotsoeasytocalculateit,howeverafterthethirddegreeclassicaldiscriminantbecomesmoreandmoredifficulttocalculateandlessandlessinterestingintermsoftheinformationitcarriesaboutthenatureoftheroots.Discriminantofapolynomialofdegreenisahomogenouspolynomialofdegreenofitscoefficientsandusesallofthem.Inthissessionwewilltalkaboutadiscriminantofdegreetwothatusesonlytheleadingthreecoefficientsofagivenpolynomialofdegreenandtheinformationitcarriesaboutthepolynomial,inparticularaboutthenatureofitsroots.Wewillalsomentionotherdiscriminantsofdegreetwothataredefinedusingonlythreeconsecutivecoefficientsofthepolynomialandpointouttosomeoftheinformationthattheycarryaboutthepolynomialitself.

2:45–3:05:ModelingCarcinogenesisbyColoringGraphsJoshHiller,johiller@adelphi.edu,AdelphiUniversityAbstract:Inthistalkwewillshowthataclassicalmodelfrommathematicaloncologyisequivalenttoacoloringproblemonhypergraphs.Weexplorethisnewperspectiveanduseittoshowseveralwaysinwhichgraphtheorycanhelpusformulatebiologicalhypothesis.

RecreationalMathematics;room2110Presider:DavidNacin,nacind@wpu.edu,WilliamPatersonUniversity

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1:30–1:50:Pascal,Padovan,andProofsWithoutWordsDavidNacin,nacind@wpu.edu, WilliamPatersonUniversity Abstract:WhathappensifwetrytoconstructtheFibonaccispiralwithtrianglesinsteadofsquares?WegetasequencewecallthePadovannumbers.WeshowhowthisconstructiondefinesthissequenceandthenfindthissamesequencehiddenagaininPascal'striangle,inawayalsosimilartothatofFibonacci.Wethenproveseveralidentitieswithouteitherwordsornumbers,byconsideringcoloringscorrespondingtosumsofentriesonPascal’striangle.

1:55–2:15:ThePlasticRatio,theMonasteryatVaals,andaNewFibonacciArrivalDavidNacin,nacind@wpu.edu, WilliamPatersonUniversity Abstract:Thegoldenratioisfamouspartlyfromitssimpledefinitioninvolvingtheproportionsandsinglerectangle.Weintroduceadifferentratioinvolvingproportionsofasquare,andusethatasanalternatemethodfordefiningthePadovansequence.Wethenobserveusesofthissequenceinarchitecture,andconcludewithanaturalconstructionoftheFibonaccinumbersinasequencerelatedtothePadovannumbers.

2:20–2:40:BreakfreeBarrycades BrianHopkins,bhopkins@saintpeters.edu,SaintPeter’sUniversityAbstract:BarryCipradevelopedabricklayer'spuzzlewhererowsofbrickswithlengths1,2,...,nareorderedtoavoidmultipleverticalbreaks.Howmanyrowscantherebe?Forwhatnhasthemaximumpotentialarrangementbeenfound?RichardGuyhasnamedtheseBreakfreeBarrycades.Wewillsurveyresultsfromanunpublishedmanuscriptandsubsequentworkfromcomputerscientists.

2:45–3:05:RainbowBarrycades BrianHopkins,bhopkins@saintpeters.edu,SaintPeter’sUniversityAbstract:UsingthecolorcodingofCuisenairerods,wherelength1bricksarewhite,length2bricksarered,etc.,weexploreavariantofapuzzlefromBarryCipra.ARainbowBarrycadehasrowsofbrickswithlengths1,2,...,norderedtoavoidrepeatedcolorsinanycolumn.Howmanyrowscantherebe?Forwhatnhasthemaximumpotentialarrangementbeenfound?

TeachingandLearningMathI;room2111Presiders:FarjanaShati,fshati@citytech.cuny.edu;JuliaRivera,jurivera@citytech.cuny.edu;NewYorkCityCollegeofTechnology,CUNY

1:30–1:50:ReadingTablesandChartsandExtractingNecessaryInformationtoCreateaModeloftheProblemandAnalyzetheModelinDifferentialEquationTanvirPrince,tprince@hostos.cuny.edu,HostosCommunityCollege,CUNYAbstract:Thisprojectispartofthe“NumeracyInfusionforCollegeEducator(NICE)”program.SeveralfacultyfromdifferentcollegesofCUNYwerepartofthisprogramandwewentthroughprofessionaldevelopmentonhowwecaninfusequantitativereasoninginourcourses.Iwaspartofthistrainingandinthispresentation,IwillshowsomeoftheseQR

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outcomesthatIinfusedinmydifferentialequationclass.ThemainQRgoalthatIwantedtoachieveisforthestudentstobeabletoreadgraphs,tables,andchartsandtobeabletoextracttherelevantinformationtocreateamodeloftheproblem.Studentslaterwillbeabletoanalyzethemodeltoanswermorequestions.ThetablethatIhaveusedisthepopulation,inthousands,ofharborsealsintheWaddenSeaovertheyears1997to2012.Studentsusethegivendatatoanswersomerelevantquestions.Forexample,isthedatasetfollowapatternforlogisticgrowthmodel?Ifyes,findthelogisticmodelforthegivendataset.Studentswillalsobeabletocalculateerrorbetweenthegivenmodelandtheactualdata(erroranalysis).Studentsweretested(assessed)attheendonthreequestionstoseehowwelltheyacquiredtheknowledge.

1:55–2:15:ActiveLearningwithMath-AnxiousStudents:WhatILearnedWorkingattheMuseumofSexistObjectsAnilVenkatesh,avenkatesh@adelphi.edu,AdelphiUniversityAbstract:Howdoyouuseactivelearningtechniqueswithstudentswhoexperiencemathanxiety?Theheightenedlevelofengagementinsuchtechniqueshasbeenshowntosupportlearningmoreeffectivelythanlecture-basedclasses,yetstudentswhoalreadyexperiencemathanxietymayfindtheexpectationofclassroomengagementfurtheranxiety-inducing.Ihonedmyskillsinactivelearningpedagogyinasurprisingplace:theMuseumofSexistObjects(MoSO)atFerrisStateUniversity.Thismuseumseekstoraiseawarenessandinspireactivisminresponsetoeverydayitemsthatpromotesexism,genderedviolence,andfemalestereotypes.Asatourfacilitatoratthemuseum,Iregularlyworkedwithgroupsofstudentswhodisplayedcleardiscomfortwiththesubjectmatterandwerereluctanttoengageinconversation.Inthistalk,IsharesomefacilitationtechniquesIdevelopedattheMoSOthathelpedovercometheinitialhesitationtoengagewiththemuseum'scollection.Ithendiscusstheclearparallelsbetweenmuseumfacilitationonsensitivetopicsandactivelearningpedagogywithmath-anxiousstudents.

2:20–2:40:TheEffectofPeer-SupportedPrecalculusWorkshopsonWomen,Minorities,andFirst-GenerationCollegeStudentsFarjanaShati,fshati@citytech.cuny.edu,JanetLiou-Mark,jliou-mark@citytech.cuny.edu;NewYorkCityCollegeofTechnology,CUNYAbstract:Peer-ledcollaborativeproblem-solvingsessionsareconsideredtobeaneffectivepracticeinpromotingunderstanding.TheimplementationofthePeer-LedTeamLearningworkshopmodelinaprecalculuscoursewherestudentsworkonceaweekonasetofmoduleshaveshownsignificantdifferencesbetweenresponsesprovidedmalesandfemales,minorityandnon-minoritystudents,andfirst-generationandnon-firstgenerationcollegestudents.Differencesindepartmentfinalgradesandcoursegradesbetweeneachgroupwillbediscussed.

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2:45–3:05:TheImpactsofaGeoscienceResearchProgramonGender,Ethnicity,andFirst-GenerationStatusofUndergraduatesMajoringinMathematicsandEngineeringJuliaRivera,jurivera@citytech.cuny.edu,JanetLiou-Mark,jliou-mark@citytech.cuny.edu,ReginaldBlake,rblake@citytech.cuny.edu;NewYorkCityCollegeofTechnology,CUNYAbstract:Ithaslongbeenrecognizedthatresearchexperiencesforundergraduatesarecriticalcatalystsforattracting,recruiting,andretainingstudents(particularlyunderrepresentedminoritystudents)inSTEMfields.Overaspanoffiveyears,astudywasconductedattheNewYorkCityCollegeofTechnologyoftheCityUniversityofNewYorktoexaminetheimpactsasummerNationalScienceFoundationResearchExperiencesforUndergraduates(NSFREU)programhadongender,ethnicity,andfirst-generationcollegestudentswhoweremathematicsandengineeringmajors.Overthecourseofanine-weekprogrameachsummer,differentcohortsofparticipantsweretrainedingeoscienceresearchusingsatelliteandground-basedremotesensingdataandapplications.Surveyresponsesregardingtheirresearchexperienceswerecollectedandanalyzed.Theseresultsshowedstatisticallysignificantgainsforunderrepresentedminorityandfirst-generationcollegestudentsintheirconfidencetoconductresearch,intheirabilitytocommunicatescience,andintheirinterestinapplyingforgraduateschool.Resultsfurthershowedthatfemalestudentsenjoyedtheresearchexperiencemorethantheirmalecounterpartsdid.Moresothantheirfemalepeers,malestudentsfoundtheresearchexperiencemorechallengingthantheyfirstexpectedittobe.ThestudywassupportedbytheNSFREUgrant#1560050.

TeachingandLearningMathII;room2115Presider:SatyanandSingh,ssingh@citytech.cuny.edu,NewYorkCityCollegeofTechnology

1:30–1:50:ChallengesandStrategiesinaCollegeMathESLClassroomMonicaDeniMorales-Hernandez,mmoraleshernandez@adelphi.edu,AdelphiUniversityAbstract:Asmathematicianswe’llprobablyagreewhenit’ssaidthatMathematicsistheuniversallanguage;asmathinstructors,weallhavefacedchallengesthathavemadeusmodifyandimproveourteachingtechniquesandthewaywecommunicatemathtothestudents.Weallhaveaskedatleastonceofthefollowingquestion:WhatshouldIdotocommunicatemathwithstudentsthathavelimitedmathexperience?Somemighthavesuccessfullyansweredthisquestionandsomeothersmightstillbelookingfortheanswer.Someinterestingquestionstoaskare:HowdowecommunicatemathwithstudentsthatnotonlyhavelimitedmathexperiencebutalsohavelimitedEnglishskills?Howdowemodifythemathcurriculumsothatthestudentscansuccessfullycompletetheclass?Inthistalk,Iwillexplorechallengesandstrategiesthatmaybeimplementedinintroductorymathclasses.

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1:55–2:15:AnEnticingSimulationinOrdinaryDifferentialEquationsthatPredictTangibleResultsSatyanandSingh,ssingh@citytech.cuny.edu,NewYorkCityCollegeofTechnology,CUNYAbstract:InthiscasestudythedistancetraveledbyamassinanunderdampedsystemwassimulatedwiththeMaplesoftware.Thisisanimportantprobleminphysicalandquantumsystemsinmathematicsandphysics.Theresultstoucheduponaninteractionbetweencalculusanddifferentialequationsandillustrateaniceapproachforcollaborationinsmallstudentgroups.Thiscasestudychallengedstudentstoconjectureonsolutions,simulatethemandprovethemtheoreticallywhiletheyderivedunexpectedlyelegantclosedformexpressionsandgeneralizations.Thisapproachprovidedamediumforrichdiscussions,enhancedstudentsuccessandretentionandpropelledsomestudentsintograduateprograms.

2:20–2:40:BeyondtheHandout:InteractiveActivitiesthatInspireMathematicalThinkingAshleyTasy,atasy@brookdalecc.edu,BrookdaleCommunityCollegeAbstract:Weallknowthatwithanything,practicinghelpsaidinprogress.Inthemathclassroom,itissoeasytofallintothepracticeofusinghandoutsfilledwithproblemstoassessstudentlearning.However,isitalwaysthebestmethod?Inthispresentation,Iwillteachyoudifferenttypesofactivitiesthatcaneasilybeintegratedintoyourlecturestoengagestudentsanddevelopmorecriticalthinkingofconcepts.

2:45–3:05:ImprovingStudentEngagementThroughOnlineMini-AssessmentsinLargeLectureClassesSheilaTabanli,sheila.tabanli@rutgers.edu,RutgersUniversityAbstract:Assessingstudentseffectivelyisavitalcomponentofeffectiveteachingandlearning.Assessingstudentlearningonadailybasisinlargelectureclassesbecomesachallengeduetolimitedopportunitiesforclosestudent-instructorinteractions.Bycreatingonlinemini-assessmentsinteacher.desmos.comwebsiteandincorporatinginteractiveactivitiestolecturesoffersimmediatefeedbacktotheinstructorandtostudentssimultaneously.AlthoughDesmosisafree,onlinegraphingcalculatorusedextensivelybystudents,thereisaDesmoscomponentthathasnotbeenwidelyutilizedbyteachers.Theteacher.desmos.comwebsiteenablesinstructorstocreateclassactivitieseasilyandfreelytoassessstudentlearning.TheseinteractiveactivitieshavebeenextensivelyusedinfourlargelecturefreshmanCalculusIclassesforlifesciencesmajorsatRutgersUniversity-NewBrunswick.Theinstructorisabletoidentifyareasofmisconception,commonmistakes,andcomparesthestudentlearningoutcomesamongthefourlargelecturesectionsthatshecurrentlyteaches.Theactivitieshavebeendesignedforanonymousstudentinputandnotforgradingpurposes.Inthisdigitalage,studentsarealreadyaccustomedtousingcellphonesforvariousdailytasks.Beyonditsfunctionasaclassroomassessmenttool,mobiletechnologyistheprimaryconduitforsomestudents’learningexperiences.Ithasbeenobservedthatstudentsaremoreinclinedtoprovidingonline,anonymousfeedbackratherthanofferingindividualorgroupfeedback

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specificallyinlargelectureclassestaughtinanauditoriumseating.Byanalyzingthecommonmistakesasawhole-classontheassignedfewproblems,thisinteractiveassessmentcontributestoamoreengagingactivelearningenvironment.

StudentResearchPaperSession;room2113Presider:AbrahamMantell,Abraham.Mantell@ncc.edu,NassauCommunityCollege,SUNY

1:30–1:45:PatternsBetweentheNumberofCeviansorCaliiansandtheRegionsthatTheyForminPolygonsCaliaKugler,HalfHallowHillsHighSchoolEast;Advisor:RobertGerver,InstituteofCreativeProblemSolvingAbstract:Thispaperisadescriptionofaninvestigationintoceviansandcaliians(ceviansinafigureotherthanatriangle).Theformulaforthenumberofregionsformedinatrianglebydrawingnceviansfromeachvertexisobtainedinseveralways.Next,formulasforthenumberofregionsformedinothersimplepolygonsbydrawingncaliiansaredeveloped.Apatternisobservedandageneralformulaforthenumberofregionsinanypolygonisdeveloped.Thisformulaisthengeneralizedtoshowthenumberofregionsformedinasimplepolygonbydrawingcaliiansnotonlytotheoppositesideofavertexbuttoothersidesaswell.AJavaprogramisdevelopedtocountthenumberofregionsinatriangleandasquareformedbyanynumberofceviansorcaliiansdrawnfromanyvertex,thusnotrequiringthesamenumberofceviansorcaliiansfromeachvertex.Somerecommendationsforfurtherresearchincludedevelopingformulasforthenumberofregionsinanysimplepolygonformedbydrawinganynumberofceviansorcaliiansfromanyvertextoanyside.Additionalfigurescanbeconsidered,includingcirclesandconvexpolygons.Aninvestigationtoextendingcaliianstocomplexpolygonsshouldbeconsideredaswell.AnextensiontotheJavaprogramtoincludeotherfiguresshouldbedeveloped.

1:46–2:01PM:AGame-TheoreticApproachtoNeuralNetworksDanielleGruber,VillageSchool(GreatNeck,NY)Abstract:Thebrainisanintricatesystemofconnectedregions,constantlyandcontinuouslyrelayingandintegratinginformation.Connectivityisanessentialfeaturewhenconsideringthedynamicsofaneuralnetwork,asitgreatlyinfluencesthepathwaysbywhichregionscommunicateandthemeansbywhichregionsactivate.Inneuroimaging,connectivityisoftendefinedanatomically,bythebiophysicalconnectionsthatactuallyexist,andfunctionally,bythestatisticaldependenciesamongregions.Here,amathematicalmodelbasedonevolutionarygametheoryonnetworks(EGN)isformulated,capturingelementsofbothanatomicalandfunctionalconnectivity,andfurtherdelineatingdifferencesbetweenabraininrestingstateandabrainengagedinaspecifictask.Themodel,basedontheworkofMadeoetal.,(2017),describestheactivationsofdifferentregionsinthenetworkasfunctionsoftime,changingbasedoninteractionswithotherregionsintermsofpayoffsforactivationand

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inactivation.Althoughtheoreticalinnature,themodelhasimplicationsforourunderstandingofneuralnetworkdynamicsandthetechniqueswhichattempttocapturesuchdynamics.

2:02–2:17PM:DerivingtheArmitageandDollModelofCarcinogenesisGabriellaSmokovich,AndrewVelasquez-Berroteran,andEleniZamagias,AdelphiUniversity;Advisor:JoshuaHillerAbstract:TheArmitageandDollmodelofcarcinogenesisisoneofthefundamentalcornerstonesofmathematicaloncology.However,this'model'isnotreallyamodelatallbutratheraframeworkthathasbeenmodifieddozensoftimesintheliterature.InthispresentationwewillexaminehowtheArmitageandDollpresentedandderivedtheiroriginalworkwithaneyetowardsexplainingwhytheirworkhasbeensowidelyinfluential.

2:18–2:33PM:AnEnticingStudyofPrimeNumbersoftheShapex2+y2XiaonaZhou,NewYorkCityCollegeofTechnology(CUNY);Advisor:SatyanandSinghWewillstudyandproveimportantresultsonprimesoftheshapex2+y2usingnumbertheoretictechniques.Ouranalysisinvolvesmaps,actionsoversets,fixedpointsandinvolutions.Thispresentationisreadilyaccessibletoanadvancedundergraduatestudentandlaysthegroundworkforfuturestudies.

2:34–2:49PM:AlgorithmsforChangeDetectioninDynamicNetworksNeilHwang,CityCollege(CUNY)Abstract:Theclusteringproblemhasbecomeapopulartopicamongresearchersinfieldsrangingfrommathematicstosocialsciences.Alsoknownasthecommunitydetectionorcommunityrecoveryproblem,itspopularityisevidencedbymanymethodsavailableintheliterature.Regardlessofthemethodchoice,oneimportantinputisthenumberofclusters.Iwillfirstreviewfivealgorithmsandthemainunderlyingtheoreticalresultsfromrecentliteratureforestimatingthenumberofcommunitiesinnetworkdata.Then,Iwillpresentanovelalgorithmthatextendsthealgorithmsintheliteraturetodetectstructuralchangesindynamicnetworks.Theperformanceofthealgorithmsiscomparedusingsimulationsandreal-lifenetworkdata.

2:50–3:05PM:SuccessiveTighteningofPinchPointsofLogisticMapsandFractalsHarryH.Xi,PrincetonUniversity;Advisor:JonathanFickenscherAbstract:Wewillexplorethedynamicstabilityofthefixedpointsofthefamilyoflogisticmapsg(x)=ax(1–x)forrealparametersa.Fromcertainvaluesofa,wewillobservethatconvergenceofiterationsofthelogisticmaptothosefixedpointsarenon-geometric.Forthesecases,wewillthenexaminehowperturbationsofgfromthezerofunctiony=0,thepositiveidentityy=x,andthenegativeidentityy=–xtranslateintoratesofconvergencetofixedpointsusingdifferentialanalysis.Becausetheresultingdifferentialanalysisprovessouseful,wewillexplorehowsuchanalysiscanpredict,particularly,thetrajectoryofthesizeoftheUniverseinthefuture.Moreover,ofconsiderableinterestarethelogisticfunctionsg

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whichhaveinitialperturbationfromthenegativeidentityy=–x.Here,addinghigherpowerperturbationsmayaffectnotonlytherateof,butalsotheconvergenceitself,ofiterationstop.Inthisrespect,wewillderiveaformulatoseewhichpowerperturbationsmayaffectconvergenceandwhichonescannot.Finally,wewillshowthatthelogisticmapsaredynamicallyconjugateuptorenormalization,andthisrenormalizationleadsintotheanalysisoftheMandelbrotSet(z0=0,zn=zn-12+c),JuliaSets,HénonMapobjects,andotherrelatedfractals.

LunchDiscussionTables

OrganizedbyKathyTurrisi,CentenaryUniversity.Therewillbeninediscussiontablesatlunch:1. DoingExperimentsinaMathEnvironment,ledbyJunZhang,NewYorkUniversity2. PublishinginMAAJournals(EspeciallytheMonthly),ledbySusanJaneColley,Oberlin

College3. UsingAItoGuessSequences,ledbyNeilJ.A.Sloane,RutgersUniversity4. EncouragingCreativityinMathematics,ledbyMikaMunakata,AshwinVaidya,andCeire

Mondhan,MontclairStateUniversity5. TopicsinGraphTheory,ledbyDeepakBal,MontclairStateUniversity6. PeerAssistedLearningMathematics,ledbyJuliaRiveraandFarjanaShati,NYCityCollege

ofTechnology,CUNY7. HowtoGetMoreHighSchoolParticipationwithLocalMAASections,ledbyAbraham

Mantell,NassauCommunityCollege,SUNY8. RetainingStudentsinMath,ledbyLindaRitchieandKathyTurrisi,CentenaryUniversity;

GraceCook,BloomfieldCollege9. TeachingtheFirstTwoYearsofCollege,ledbyJonathanWeisbrod,RowanCollegeat

BurlingtonCounty

Thosewhopre-registeredhavepriorityatthesediscussiontables.Welookforwardtoasetoflivelyandinterestingdiscussions!

ReportontheMathFest2019MAACongressMeetingByTomHagedorn

TheMAACongressmetforanall-daymeetinginCincinnationJuly31,2019,thedaybeforethe2019MathFest.ThemeetingbeganwithintroductionsandareviewoftheMAA’srevisedmissionandvisionstatements:

Mission:ThemissionoftheMathematicalAssociationofAmericaistoadvancetheunderstandingofmathematicsanditsimpactonourworld.Vision:Weenvisionasocietythatvaluesthepowerandbeautyofmathematicsandfullyrealizesitspotentialtopromotehumanflourishing

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TheCongressreviewedtheMAA’sstrategicgoalsandapprovedtwonewgoals:(1)TosustainarobustportfolioofprogramsthatexpandMAA’soutwardfacingimpact;and(2)HostingtheInternationalMathematicalOlympiadcompetitioninJuly2021.TheCongressthenheardreportsontheMAA’scurrentoperationsandprograms.Significantly,in2018,theMAAexperiencedmodestmembershipgrowthandhadabalancedbudget.TheCongresswasinformedaboutnewmembershipbenefits:

a) AccesstoPRIMUS,JournalofMathematicsandtheArts,andChanceb) DiscountedsubscriptionstoTheGreatCoursesc) AccesstotheMAAVideoLibrary.NewtotheVideoLibrarythisfallwillbethe2019MAA

MathFestSpeakerVideosTheCongressdiscussedtheendingoftheJMMin2021.Asof2022,allMAAnationalmeetingeventswilloccuratMathFest.TheMAAwillbuildonthecontinuedgrowthofMAAMathFestandwillalsodirectresourcestobettersupportMAASectionsatsectionalmeetingsandotherprogramsthatexpandaccessandservicestomoremembers.Examplesinclude:

• DigitalcommunitytoolssuchasMAAConnect• MoresupportforSectionNExT• ExpandedMAAMathFestprogram• NewSectionspeakerprograms

Themeetingconcludedwithtwodiscussionsoni)IdeasforIncreasedSupportforMAASectionMeetings;andii)howtoensurethatallareasoftheMAAcommunityarewell-representedontheCongress.Thenextmeetingwillbeatthe2020MathFestinPhiladelphia,Jul.29-Aug.1.

MathFest2019MAASectionOfficersReportByTomHagedorn

TheMAA’sSectionOfficer’sMeetingwasledbyLisaMarano(EPADEL),chairoftheMAATaskForceonSections.TheTaskForcehasbeenworkingonanumberofways,bothsmallandlarge,thattheMAAcanhelpsupportsections.Theyinclude:

a) VisitorandLecturePrograms.MAA-NJhasanEditorLecturesProgramvisitorin2019-20andwecanhostoneMAAofficersectionvisitoreachyear.

b) Communication.ThisareaisconsideredMAA’sgreatestunmetneed.MAAisunveilingMAA-Connect,anewmeetingsoftwareplatformthisfalltoenablesectionsandsectionleaderstomoreeasilyworktogether.

c) Logistics.MAAisworkingtoprovidehelpwithonlineregistration,jointmeetinglogisticsandpromotingattendanceatsectionalmeetings.

d) DiversityandInclusion.TheMAAwouldliketohelpsectionsincreasediversityandinclusioninsectionmeetings.

e) DevelopingaCommunityBeyondMeetings.TheMAAwouldliketostrengthentieswithSIGMAASoutsideofmeetingsandhavesectionalSIGMAAactivities.

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f) SupporttorunSectionElections.MuchofthemeetingwasspentbrainstormingamongsectionleadersonhowtobestutilizethenewMAA-Connectsoftware.OfficersthoughtaboutwaysthatbeingabletoconnecttothelargercommunityofSectionLeaderscouldenhanceorimprovewhatweareabletodoforourSection.

TheTaskforcealsohighlightedthemanyMAAPrograms,includingthenewTondeurBIGCareerInitiative.ThisprogramprovidesfinancialsupportforaroundofBIG(“Business,Industry,andGovernment”)CareerActivitiesatMAASectionMeetingsfromSpring2020-Fall2021.ProposalsaredueatMAAabout6monthsaheadoftime.OfficersdiscussedwaysthatsectionscanworkcollaborativelytocreatenewTondeuractivitieswhichcanworkwithinthestructureofourexistingsectionprogram.

TheTaskForceisalsoencouragingsectionstohighlightandcelebratetalentedpeopleineachsectionwhomaynotattendnationalmeeting.IthasformedaSectionBestPracticescommitteethatwillbelookingtocollectalistofbestpracticesbysectionsonavarietyoftopics.KarenStanish,KeeneStateCollege,willchairthissubcommittee.

BookSalesattheMeeting

Therewillbe25TitlesonDisplayatthemeeting,including14AMSbooksand11MAAbooks.ThediscountedmeetingpriceforMAAandAMSmembersis40%.Thediscountfornon-membersis25%;discounts,alongwithfreeshipping,arevalidthroughNovember26.DiscountsapplytoTitlesonDisplayandmostotherAMSandMAAbooks.Toplaceanorder,call1-800-321-4267or401-455-4000andaskforCustomerService.UsecodeMT262foryourdiscount.Nobookorderswillbetakenatthemeeting.

FutureMeetings

MAA-NJ.TheSpring2020MAA-NJSectionmeetingwillbeheldatRowanUniversityonSaturday,April18,2020.TheFall2020MAA-NJSectionmeetingwillbeheldatKeanUniversityonSaturdayNovember14,2020.

MAAMETRO-NY.TheMAAMetropolitanNewYorkSectionwillholditsnextmeetingonSundayMay3,2020atQueensCollege,CUNY.

GSUMC.The2020GardenStateUndergraduateMathematicsConference(GSUMC)willbeheldinconjunctionwiththeSpringMeetingoftheNJSectionatRowanUniversity.Theconferencewillincludeposterandoralpresentationsessionsforundergraduatestudents,aswellasateammathematics-problemcompetition.Therearemanyopportunitiesforfacultytoparticipateinco-organizingtheconference.Contactoneoftheco-directorsDeepakBal(deepak.bal@montclair.edu),LeeCollins(collinsn@rowan.edu),orIkJaeLee

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(leei@rowan.edu)tovolunteer.ForadditionaldetailsseetheGSUMCwebsite:http://sections.maa.org/newjersey/GSUMC/GSUMC.htm

NationalMAAMeeting.The2020JointMathematicsMeetingwillbeinDenver,January15–18.

MathFest.The2020MathFestwillbeinPhiladelphia,July29–August1.

CallforContributedPapersandLunchTableDiscussionTopicsfortheSpring2020MAA-NJMeeting

Therewillbetwospecialcontributedpapersessions.Allpaperswillbereviewedbytheorganizers.Pleasesubmitatitle,three-tofour-sentenceabstract,andone-pagedescriptioninMSWordformatbyJanuary24,2020tothesessionorganizer.

1. RecreationalMath.Organizer:DavidNacin,nacind@wpu.edu, WilliamPatersonUniversity

2. GeneralContributedPapers.Organizer:KathyTurrisi,kathy.turrisi@centenaryuniversity.edu,CentenaryUniversity

MAAmembersinterestedinleadingaLunchTableDiscussionattheSpring2020meetingareaskedtosubmittheirproposalstoKathyTurrisi,CentenaryUniversity,kathy.turrisi@centenaryuniversity.edubyJanuary24,2020.

CallforNominationsfortheMAA-NJAwardforDistinguishedCollegeorUniversityTeaching

TheMAA-NJSectionDistinguishedTeachingAwardSelectionCommitteeisseekingnominationsforthe2020award.Pleaseconsidernominatinganinspiring,respected,orinfluentialdeservingcolleagueforthisprestigiousaward.AnomineemusthavebeenanMAAmemberforatleasttwoyearspriortothenomination.Nominationinformationispostedathttp://www.maa.org/newjersey.ForadditionalinformationyoumaycontactZhixiongChen(Secretary,MAA-NJ)atzchen@njcu.edu.NominationsareduebyNovember20,2019.

SocialMediaInformation

AmessagefromsocialmediadirectorGraceCook,BloomfieldCollege.Checkusout!Email: maanj.socialmedia@gmail.comFacebook: https://www.facebook.com/maanewjerseyInstagram: https://instagram.com/maanewjerseyTwitter: https://twitter.com/maanewjersey

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MAA-NJCommittees

AwardsCommittee:TomHagedorn,CollegeofNewJersey(chair);AihuaLi(ex-officio),MontclairStateUniversity;SaritaNemani,GeorgianCourtUniversity;JonathanWeisbrod,RowanCollegeatBurlingtonCounty.

NominatingCommittee:ZhixionChen,NewJerseyCityUniversity;KarenClark,CollegeofNewJersey;ThomasHagedorn(chair),CollegeofNewJersey;AihuaLI(ex-officio),MontclairStateUniversity;HieuNguyen,RowanUniversity.

TeachingAwardCommittee:DenisL.Blackmore,NewJerseyInstituteofTechnology;KarenClark(chair),CollegeofNewJersey;AihuaLi(ex-officio),MontclairStateUniversity;DirckUptegrove,Nokia.

ContributedPaperCommittee(NJandNY):GraceCook,BloomfieldCollege;AihuaLi(ex-officio),MontclairStateUniversity;JanetLiou-Mark,NewYorkCityCollegeofTechnology,CUNY;AbrahamMantell,NassauCommunityCollege,SUNY;SatyanandSingh,NewYorkCityCollegeofTechnology,CUNY;KathyTurrisi(chair),CentenaryUniversity.

OrganizingCommittee(NJandNY):AmandaBeecher,RamapoCollege;ZhixiongChen,NewJerseyCityUniversity;GraceCook,BloomfieldCollege;ThomasHagedorn,TheCollegeofNewJersey;IkJaeLee,RowanUniversity;AihuaLi,MontclairStateUniversity;JanetLiou-Mark,NewYorkCityCollegeofTechnology,CUNY;AbrahamMantell,NassauCommunityCollege,SUNY;SusanMarshall,MonmouthUniversity;DawnNelson,SaintPeter’sUniversity;HieuNguyen,RowanUniversity;LindaRitchie,CentenaryUniversity;SatyanandSingh,NewYorkCityCollegeofTechnology,CUNY;KathyTurrisi,CentenaryUniversity;DirckUptegrove,Nokia;ElizabethUptegrove,FelicianUniversity;PaulvonDohlen,WilliamPatersonUniversity;JonathanWeisbrod,RowanCollegeatBurlingtonCounty;ChungWong,CountyCollegeofMorris.

HistoryCommittee:GraceCook,BloomfieldCollege;ThomasHagedorn,CollegeofNewJersey;AihuaLi(ex-officio),MontclairStateUniversity;HieuNguyen(chair),RowanUniversity.

HostingCommittee:DenisBlackmore,NewJerseyInstituteofTechnology;LiGuo,RutgersNewark;ChengwenWang(chair),EssexCountyCollege;MamtaVyas,EssexCountyCollege.

DinnerHonoringtheInvitedSpeakers.TheSectionwillhonortheinvitedspeakersatdinneratSpanishPavillion,31HarrisonAve.,Harrison,NJ,followingthemeeting.Everyoneiscordiallyinvited.

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Acknowledgments.WethanktheDepartmentofMathematicsatEssexCountyCollegefortheirkindhospitalityinhostingthemeeting.AndthankstotheEssexCountyCollegeMathClubstudentvolunteersforassistingatthemeeting.

WethankJacquelineBakal(FelicianUniversity),Cengage,andPrincetonUniversityPressfortheirgenerousdonationsforsilentauctionanddoorprizes.

NJAMTECallforPapers.TheNewJerseyAssociationofMathematicsTeacherEducatorsinvitescontributedpapers(15-to25-minutetalkplus10-to15-minutediscussion)atitsannualmeetingscheduledforJune5,2020atTheCollegeofNewJersey.Thethemeis:Howteacherpreparationprogramscanpreparefutureteachersofmathematicstodeveloprichunderstandingsofthecontenttheywillteachandtosupporttheprofessionaldispositiontobecomelifelonglearnersofthatcontent.However,anytalkaboutresearchresults,professionaldevelopment,orissuesofconcerntomathematicsteachereducatorswillbeconsidered.ProposalsshouldbesenttoNJAMTEPresidentJamesE.R.Beyersatbeyers@tcnj.edubyFebruary8,2020.Forfurtherdetails,contactJamesBeyers.

Announcement.Alactationroomisavailableatthismeeting.Signagedirectsthosewhoneedittotheroom.

JointheMAA!http://www.maa.org/membership/join_main.html

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MAA-NJSectionOfficers

CongressRepresentative ThomasHagedorn,TheCollegeofNewJersey

Chair AihuaLi,MontclairStateUniversityChair-elect PaulvonDohlen,WilliamPaterson

UniversitySecretary ZhixiongChen,NewJerseyCityUniversityTreasurer DirckUptegrove,NokiaVice-ChairforFallMeetings IkJaeLee,RowanUniversityVice-ChairforSpeakers AmandaBeecher,RamapoCollegeofNew

JerseyVice-ChairforSpringMeetings ElizabethUptegrove,FelicianUniversityVice-ChairforStudentActivities DeepakBal,MontclairStateUniversityGSUMCCo-directors DeepakBal,MontclairStateUniversity;Lee

Collins,RowanUniversity;IkJaeLee,RowanUniversity

Vice-ChairforTwo-YearColleges JonathanWeisbrod,RowanCollegeatBurlingtonCounty

BookSaleCoordinators DirckUptegrove,Nokia;ElizabethUptegrove,FelicianUniversity

ContributedPaperOrganizerandLunchDiscussionOrganizer

KathyTurrisi,CentenaryUniversity

DoorPrizeCoordinator LindaRitchie,CentenaryUniversityLiaisonCoordinator IkJaeLee,RowanUniversityProgramEditors DawnNelson,SaintPeter’sUniversity;

ElizabethUptegrove,FelicianUniversityProjectNJ-NExTCo-Directors SusanMarshall,MonmouthUniversity;

ChungWong,CountyCollegeofMorrisSocialMediaDirector GraceCook,BloomfieldCollegeWebmaster DirckUptegrove,Nokia

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MAAMetro-NYSectionOfficers

CongressRep.(2017–2019)

AlanTucker,StonyBrookUniversity

(631)632-8365alan.tucker@stonybrook.edu

Chair(2018–2021)

JanetLiou-Mark,NYCCollegeofTechnology(CUNY)

(718)254-8668jliou-mark@citytech.cuny.edu

Chair-Elect(2018–2021)

SatyanandSingh,NYCCollegeofTechnology(CUNY)

(718)260-5926ssingh@citytech.cuny.edu

Secretary(2018–2021)

JohannaFranklin,HofstraUniversity

(516)463-5739johanna.n.franklin@hofstra.edu

Treasurer(2018–2021)

ArmenBaderian,NassauCommunityCollege(SUNY)

(516)572-7394armen.baderian@ncc.edu

Vice-ChairforFour-YearColleges(2018–2021)

BoyanKostadinov,NYCCollegeofTechnology(CUNY)

(718)260-5195bkostadinov@citytech.cuny.edu

Vice-ChairforTwo-YearColleges(2018–2021)

OlenDias,HostosCommunityCollege(CUNY)

(718)518-6810odias@hostos.cuny.edu

Vice-ChairforHighSchools(2018–2021)

MutiaraSondjaja,NewYorkUniversity (212)998-3375

sondjaja@nyu.edu

BookExhibitCoordinator

NadiaBenakli,NYCCollegeofTechnology(CUNY)

(718)260-5371nbenakli@citytech.cuny.edu

GraphTheoryDaysLiaisons

LouisV.Quintas,PaceUniversityArmenBaderian,NassauCommunityCollege(SUNY)EdgarG.DuCasse,PaceUniversity

lquintas@pace.eduarmen.baderian@ncc.edueducasse@pace.edu

LiaisonCoordinator ElenaGoloubeva,WebbInstitute

(516)403-5925egoloubeva@webb.edu

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MathFairChair–NYC

RandyJ.Asher,BrooklynTechnicalHighSchool

(718)804–6500rasher@schools.nyc.gov

MathFairChair–LongIsland

JosephQuartararo,Northport-EastNorthportPublicSchools

(631)584-2016cmleague@optonline.net

MetroNExTCoordinators

BenjaminGaines,IonaCollegeMutiaraSondjaja,NewYorkUniversityJohannThiel,NYCCollegeofTechnology(CUNY)

(914)633-2272bgaines@iona.edu(212)998-3375sondjaja@nyu.edu(718)260-5004jthiel@citytech.cuny.edu

NewsletterEditor AbrahamS.Mantell,NassauCommunityCollege(SUNY)

(516)572-7383x26841mantell@ncc.edu

PublicRelationsChair

Xiaomeng(Vivian)Kong,NassauCommunityCollege(SUNY)

(516)572-7394xiaomeng.kong@ncc.edu

Speaker’sBureauChair

AbrahamS.Mantell,NassauCommunityCollege(SUNY)

(516)572-7383x26841mantell@ncc.edu

StudentChapterCoordinator

DavidSeppala-Holtzman,St.Joseph’sCollege

(718)940-5315dholtzman@sjcny.edu

SectionArchivist AgnesM.Kalemaris,FarmingdaleStateCollege(SUNY)

(631)420-2217kalemaam@farmingdale.edu

Webmaster EricRowland,HofstraUniversity

(516)463-6806Eric.rowland@hofstra.edu

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