teaching and learning proof across the grades a k perspective 英文电子图书

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1、TeachingandLearningProofAcrosstheGradesInrecentyearstherehasbeenincreasedinterestinthenatureandroleofproofinmathematicseducation,withmanymathematicseducatorsadvocatingthatproofshouldbeacentralpartofthemathematicseducationofstudentsatallgradelevels.Thisimportantnewcollectionprovide

2、sthatmuchneededforumformathematicseducatorstoarticulateaconnectedK–16“story”ofproof.Suchastoryincludesunderstandinghowtheformsofproof,includingthenatureofargumentationandjustificationaswellaswhatcountsasproof,evolvechrono-logicallyandcognitively,andhowcurriculaandinstructioncansupp

3、ortthedevelopmentofstudents’understandingofproof.Collectively,thesestudiesinformeducatorsandresearchersatdifferentgradelevelsabouttheteachingandlearningofproofateachleveland,thus,helpadvancethedesignoffurtherempiricalandtheoreticalworkinthisarea.Bybuildingandexpandingonexist-ingres

4、earchandbyallowingavarietyofvoicesfromthefieldtobeheard,TeachingandLearningProofAcrosstheGradesnotonlyhighlightsthemainideasthathaverecentlyemergedonproofresearch,butalsodefinesanagendaforfuturestudy.DespinaA.StylianouisanAssociateProfessorofMathematicsEducationattheCityCollegeofthe

5、CityUniversityofNewYork.MariaL.BlantonisaSeniorExecutiveResearchAssociateattheJamesJ.KaputCenterforResearchandInnovationinMathematicsEducationandanAssociateProfessorofMathematicsEducationattheUniversityofMassachusetts,Dartmouth.EricJ.KnuthisanAssociateProfessorofMathematicsEducati

6、onattheUniversityofWisconsin-Madison.STUDIESINMATHEMATICALTHINKINGANDLEARNINGAlanH.Schoenfeld,SeriesEditorArtzt/Armour-Thomas/CurcioBecomingaReflectiveMathematicsTeacher:AGuideforObservationandSelf-Assessment,SecondEditionBaroody/Dowker(Eds.)TheDevelopmentofArithmeticConceptsandSki

7、lls:ConstructingAdaptiveExpertiseBoalerExperiencingSchoolMathematics:TraditionalandReformApproachestoTeachingandtheirImpactonStudentLearningCarpenter/Fennema/Romberg(Eds.)RationalNumbers:AnIntegrationofResearchChazan/Callis/Lehman(Eds.)EmbracingReason:EgalitarianIdealsandtheTeach-

8、ingofHighSchoolMathematicsCobb/Ba