Critical Issues in Mathematics Education: Major Contributions of Alan Bishop

266 Pages·1.078 MB·English

by  Philip Clarkson, Norma Presmeg

Critical Issues in Mathematics Education

·
Philip Clarkson Norma Presmeg
Editors
Critical Issues
in Mathematics Education
Major Contributions of Alan Bishop
123
Editors
PhilipClarkson NormaPresmeg
FacultyofEducation IllinoisStateUniversity
AustralianCatholicUniversity DepartmentofMathematics
FitzroyVIC3065 313StevensonHall
Australia NormalIL61790-4520
[email protected] USA
[email protected]
ISBN:978-0-387-09672-8 e-ISBN:978-0-387-09673-5
LibraryofCongressControlNumber:2008930313
(cid:2)c 2008SpringerScience+BusinessMedia,LLC
Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewritten
permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York,
NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Usein
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Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyare
notidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjectto
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Contents
SectionI Introduction
1 DevelopingaFestschriftwithaDifference ........................ 3
PhilipClarksonandNormaPresmeg
2 InConversationwithAlanBishop ............................... 13
PhilipClarkson
SectionII TeacherDecisionMaking
3 Decision-Making,theInterveningVariable........................ 29
AlanJ.Bishop
4 Teachers’DecisionMaking:fromAlanJ.BishoptoToday.......... 37
HildaBorko,SarahA.RobertsandRichardShavelson
SectionIII SpatialAbilities,Visualization,andGeometry
5 Spatial Abilities and Mathematics
Education–AReview .......................................... 71
AlanJ.Bishop
6 Spatial Abilities Research as a Foundation
for Visualization in Teaching
andLearningMathematics...................................... 83
NormaPresmeg
7 Spatial Abilities, Mathematics, Culture,
andthePapuaNewGuineaExperience........................... 97
M.A.(Ken)Clements
v
vi Contents
SectionIV CulturalandSocialAspects
8 VisualisingandMathematicsinaPre-TechnologicalCulture.........109
AlanJ.Bishop
9 Cultural and Social Aspects of Mathematics Education:
RespondingtoBishop’sChallenge ...............................121
BillBarton
10 Chinese Culture, Islamic Culture,
andMathematicsEducation.....................................135
FrederickLeung
SectionV SocialandPoliticalAspects
11 MathematicalPowertothePeople ...............................151
AlanJ.Bishop
12 Mathematical Power as Political
Power–ThePoliticsofMathematicsEducation ...................167
ChristineKeitelandRenukaVithal
SectionVI TeachersandResearch
13 Research,Effectiveness,andthePractitioners’World ..............191
AlanJ.Bishop
14 PracticingResearchandResearchingPractice ....................205
JeremyKilpatrick
15 Reflexivity, Effectiveness, and the Interaction
ofResearcherandPractitionerWorlds ...........................213
KennethRuthven
SectionVII Values
16 Mathematics Teaching and Values
Education–AnIntersectioninNeedofResearch ..................231
AlanJ.Bishop
17 ValuingValuesinMathematicsEducation ........................239
WeeTiongSeah
Index .............................................................253
Contributors
BillBarton
Dept.ofMathematics,TheUniversityofAuckland,PrivateBag92019,Auckland
MailCentre,Auckland1142,NewZealand,[email protected]
AlanJ.Bishop
Faculty of Education, Monash University, Wellington Road, Clayton, Victoria
3168,Australia,[email protected]
HildaBorko
School of Education, Stanford University, 485 Lasuen Mall, Stanford, CA
94305-3096,USA,[email protected]
PhilipC.Clarkson
FacultyofEducation,AustralianCatholicUniversity,FitzroyVIC3065,Australia,
[email protected]
M.A.(Ken)Clements
Department of Mathematics, IllinoisState University, Normal, IL61790-4520,
UnitedStatesofAmerica,[email protected]
ChristineKeitel
FachbereichErziehungswissenschaftundPsychologie,FreieUniversita¨tBerlin,
HabelschwerdterAllee45,14195Berlin,Germany,[email protected]
JeremyKilpatrick
105AderholdHall,UniversityofGeorgia,Athens,GA30602-7124,UnitedStates
ofAmerica,[email protected]
FrederickLeung
ChairFacultyofEducation,TheUniversityofHongKong,PokfulamRoad,Hong
Kong,[email protected]
NormaPresmeg
IllinoisStateUniversity,DepartmentofMathematics,313StevensonHall,Normal
IL61790-4520,USA,[email protected]
vii
viii Contributors
SarahA.Roberts
SchoolofEducation,249UCBUniversityofColorado,Boulder,CO80309-0249,
USA,[email protected]
KennethRuthven
FacultyofEducation,UniversityofCambridge,184HillsRoad,CambridgeCB2
8PQ,UnitedKingdom,[email protected]
WeeTiongSeah
Faculty of Education, Monash University (Peninsula Campus), PO Box 527,
Frankston,Vic.3199,Australia,[email protected]
RichardShavelson
SchoolofEducation,485LasuenMall,StanfordUniversity,CA94305-3096,USA,
[email protected]
RenukaVithal
DeanofEducation,FacultyofEducation,UniversityofKwaZulu-Natal,Edgewood
Campus,PrivateBagX03,Ashwood3605,SouthAfrica,[email protected]
Section I
Introduction