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ID:8361904
大小:86.00 KB
页数:9页
时间:2018-03-22
《the development of number sense》由会员上传分享,免费在线阅读,更多相关内容在教育资源-天天文库。
1、TheDevelopmentofNumberSenseHartwigMeissnerWestf.Wilhelms-UniversitaetMuenster,GermanyAnnabellaDiephausSuente-Rendel-GrundschuleHoerstel-Riesenbeck,GermanySummaryNumbersenseisanessentialgoalofarithmeticeducationinprimaryschools.Butwhatisnumbersenseandhowdoesitdevelop?Inourstudywefirstwillcollectr
2、esearchresultsfrominvestigationsfromdifferentexperimentalperspectives.Wewillidentifyvariousnumberactivitiesandanalyzetherelatedmentalprocesses.OnthebaseoftheDualProcessTheorieswethenidentifytwocomponentsofmentalprocesseswhichareconnectedwiththedevelopmentofawellbalancednumbersense,alogicalanalyt
3、icaloneandacommonsensecomponent.Theaimofthisstudyistomakeaware-forteachers,forteachereducators,andforcurriculumdesigners-thatthedevelopmentofaneffectivenumbersenseneedsbothcomponents.Suggestionsaregivenhowtoenrichthecommonsensecomponentinthetraditionalarithmeticeducation.1.NumberSenseNumbersense
4、isdifficulttodefinebuteasytorecognize.Regardingnumbersenseastheabilityofaflexiblebehaviorinallkindsofnumbersituations(orderofmagnitude,estimation,calculating,rounding,approximation,mentalarithmetic,usingthefourbasicoperationsproperly,…)weexpectthatindividualswithagoodnumbersensecansolvenumberpro
5、blemswithoutmakingobviousmistakes.Butwhy?Howtoexplorethedevelopmentofnumbersense?Howtoexplainnumbersenseabilities?IntheGermanlanguagetherearetwowordswithadifferentmeaning.Zahlbegriffisthetermfordescribingtheanalyticalandlogicalaspects.WithZahlengefuehlorZahlgefuehltheintuitiveandemotionalaspects
6、aresummarized.ItisinterestingtoseethatmostoftheGermanpapersonmathematicseducationconcentrateonZahlbegriffonly.MostauthorsavoiddiscussingaspectsofZahlgefuehl(exceptthedissertationLange1984).IntheEnglishliteraturehoweverthereisonlytheonewordnumbersenseanditdescribesamorebalancedview.Heretheterminc
7、ludesbothaspects,commonsenseandanalyticalcomponents.Reys(1991):·„Numbersensereferstoanintuitivefeelingfornumbersandtheirvarioususesandinterpretations;·anappreciationforvariouslevelsofaccuracywhenfiguring;·theabilitytodetecta
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