Mathematics Matters in Education: Essays in Honor of Roger E. Howe PDF
Preview Mathematics Matters in Education: Essays in Honor of Roger E. Howe
Advances in STEM Education Series Editor: Yeping Li Yeping Li W. James Lewis James J. Madden Editors Mathematics Matters in Education Essays in Honor of Roger E. Howe Advances in STEM Education Serieseditor YepingLi,TexasA&MUniversity,CollegeStation,Texas,USA InternationalAdvisoryBoard SpencerA.Benson,UniversityofMacau,Macau,China RichardA.Duschl,PennsylvaniaStateUniversity,USA DirkIfenthaler,UniversityofMannheim,Germany KennethRuthven,UniversityofCambridge,UK KaranL.Watson,TexasA&MUniversity,USA Advances in STEM Education is a new book series with a focus on cutting-edge research and knowledge development in science, technology, engineering and mathematics (STEM) education from pre-college through continuing education aroundthe world. It is open to all topics in STEM education,both in and outside ofclassrooms,includinginnovativeapproachesandperspectivesinpromotingand improving STEM education, and the processes of STEM instruction and teacher education. This series values original contributions that view STEM education eitherintermsoftraditionallydefinedsubject-basededucationorasaneducational undertakinginvolvinginter-connectedSTEMfields.Theseriesisopentonewtopics identified and proposed by researchers internationally, and also features volumes frominvitedcontributorsandeditors.ItworkscloselywiththeInternationalJournal ofSTEMEducationandJournalforSTEMEducationResearchtopublishvolumes ontopicsof interestidentifiedfromthe journalpublicationsthatcallforextensive andin-depthscholarlypursuit. Researchers interested in submitting a book proposalshould contact the Series Editor: Yeping Li ([email protected]) or the Publishing Editor: Melissa James ([email protected])forfurtherinformation. Moreinformationaboutthisseriesathttp://www.springer.com/series/13546 Yeping Li • W. James Lewis • James J. Madden Editors Mathematics Matters in Education Essays in Honor of Roger E. Howe 123 Editors YepingLi W.JamesLewis DepartmentofTeaching,Learning DepartmentofMathematics andCulture UniversityofNebraska–Lincoln TexasA&MUniversity Lincoln,NE,USA CollegeStation,TX,USA ShanghaiNormalUniversity Shanghai,China JamesJ.Madden DepartmentofMathematics LouisianaStateUniversity BatonRouge,LA,USA ISSN2520-8616 ISSN2520-8624 (electronic) AdvancesinSTEMEducation ISBN978-3-319-61433-5 ISBN978-3-319-61434-2 (eBook) DOI10.1007/978-3-319-61434-2 LibraryofCongressControlNumber:2017949175 ©SpringerInternationalPublishingAG2018 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof thematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformation storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology nowknownorhereafterdeveloped. Theuseofgeneraldescriptivenames,registerednames,trademarks,servicemarks,etc.inthispublication doesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. Thepublisher,theauthorsandtheeditorsaresafetoassumethattheadviceandinformationinthisbook arebelievedtobetrueandaccurateatthedateofpublication.Neitherthepublishernortheauthorsor theeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinorforany errorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregardtojurisdictional claimsinpublishedmapsandinstitutionalaffiliations. Printedonacid-freepaper ThisSpringerimprintispublishedbySpringerNature TheregisteredcompanyisSpringerInternationalPublishingAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland Acknowledgments ThisbookisascholarlyproductthatisderivedfromtheworkshopinhonorofRoger Howe,heldontheoccasionofhis70thbirthdayin2015atTexasA&MUniversity. Firstandforemost,wewouldliketotakethisopportunitytothankRogerHowefor hisinspirationandcontributionstomathematicseducationandalsoforcontributing hischaptertothisbook. The gathering of many mathematicians, mathematics educators, and other scholars made the workshop both memorable and productive. With a follow-up conferencethatalreadytookplace,andmoreplannedforthefuture,theworkshop was a catalyst for furtheringconnectionsand communicationsamong mathemati- cians, mathematicseducators,and practitionersof mathematics. We would like to acknowledgeandthankallworkshopparticipantsfortheirparticipationandsupport. Wealsotakethisopportunitytoacknowledgeandthankallthosewhohavebeen involved in preparing and contributing to this volume. This book would not have been possible without the dedicated group of 20 contributors from more than 15 universitiesorinstitutesacrosstheUnitedStates, manyof whomalso volunteered theirtimetoreviewchapters.Theircollectiveeffortshelpensurethisbook’squality. The resulting book is a wonderful Festschrift in honor of Roger Howe for his contributionstomathematicseducationasaninterdisciplinaryfield. Thanks also go to a dedicated group of external reviewers, including James Epperson,AlexanderForan,RobertGustafson,andDickStanley,fortakingthetime tohelpreviewchaptersofthisbook.Theirreviewsandcommentshelpedimprove the quality of many chapters, and on behalfof all the contributors,we extend our appreciationtothem. WewanttothankKeWangforhisassistanceindrawingfiguresforthisbook,and Melissa James (a senior editorat Springer)forher patience andsupport.Working withMelissahasbeenaproductiveandpleasantexperience,withthisbook’stimely publicationasthefirstvolumeofthenewbookseries. Finally, we want to express our deep appreciation to the workshop’s host institution, the College of Education and Human Development at Texas A&M University and especially the Department of Teaching, Learning and Culture, for v vi Acknowledgments theirgreatsupportthatmadetheworkshoppossible.Theselflesssupportfrommany dedicatedstaffandgraduatestudentswasbeyondthecallofduty. Note:TheeditorsacknowledgethatLewis’workasaconferenceorganizerand co-editor of this book was supported by the National Science Foundation. Any opinion, findings, and conclusionsor recommendationsexpressed in this material are those of the author(s) and do not necessarily reflect the views of the National ScienceFoundation. Contents PartI Introduction 1 “MathematicsMattersin Education” to Roger E. Howe andtoAll:AnIntroduction ............................................... 3 YepingLi,W.JamesLewis,andJamesJ.Madden 2 AboutRogerE.HoweandHisContributionstoMathematics Education.................................................................... 9 YepingLiandW.JamesLewis 3 CulturalKnowledgeforTeachingMathematics ........................ 19 RogerE.Howe PartII Knowing and Connecting Mathematics in Teaching andTeacherEducation 4 TheContentKnowledgeMathematicsTeachersNeed ................. 43 Hung-HsiWu 5 KnowingRatioandProportionforTeaching............................ 93 JamesJ.Madden 6 HowFutureTeachersReasonedwithVariablePartsandStrip DiagramstoDevelopEquationsforProportionalRelationships andLines .................................................................... 117 SybillaBeckmannandTorreyK.Kulow 7 GivingReasonandGivingPurpose ...................................... 149 YvonneLai,MaryAliceCarlson,andRuthM.Heaton 8 WhoAretheExperts? ..................................................... 173 JohnEwing vii viii Contents PartIII IdentifyingandStructuringCoreIdeasandPractices inK-12MathematicsCurriculum 9 BuildingonHowe’sThreePillarsinKindergartentoGrade6 Classrooms .................................................................. 185 KarenC.Fuson 10 IstheRealNumberLineSomethingtoBeBuiltorOccupied? ....... 209 HymanBass 11 WhatContentKnowledgeShouldWeExpectinMathematics Education? .................................................................. 219 RichardAskey 12 ApproachingEuclideanGeometryThroughTransformations........ 233 ZalmanUsiskin 13 CurricularCoherenceinMathematics................................... 245 AlCuocoandWilliamMcCallum PartIV Supporting and Engaging Mathematicians in K-12 Education 14 Attracting and Supporting Mathematicians for the MathematicalEducationofTeachers .................................... 259 AmyCohen 15 TheContributionsofMathematicsFacultytoK-12Education: ADepartmentChair’sPerspective ....................................... 277 SolomonFriedberg 16 Supporting Education and Outreach in a Research MathematicsDepartment.................................................. 287 JerryDwyerandLawrenceSchovanec Index............................................................................... 301 Part I Introduction
The list of books you might like
