高中生解答数学选择题的常用方法和猜测性问题的实证研究

224Vol.22,No.420138JOURNALOFMATHEMATICSEDUCATIONAug.,20132013–04–0911JJD880027197812120024127100621234435G622A1004–9894201304–0047–071[1]1234[1]1234[2]12[2]12[2][3]123456[4]12148222[5]123[6]4122[1]1212[7]51123345123456[6]3123410251102154604511025102SPSS17.0121N102102Minimum2828Maximum6060Mean48.9451.06Std.Deviation6.6646.447148.946.664602851.066.44760284492PearsonCorrelation10.412(**)Sig.(2-tailed)0.000N102102PearsonCorrelation0.412(**)1Sig.(2-tailed)0.000N102102**Correlationissignificantatthe0.01level(2-tailed)20.4120.010|r|0.750.75|r|1[8]148.9451.06606.6646.44766.16163kxy4)2()3(22yxMN|MN|32k(A)]33,33[(B)]0,32[(C)]43,()0[(D)]0,43[63102D36ABCD65.9%32.9%98.8%8482.4%61028482.4%111)(3422kk3211)(3422kk231)323(222kkd1211|323|2kk43k0k]0,43[k30k43kABCD151)2()3(22yx1)1()3(22kxx0296222kxxkxx09)62()1(22xkxk0)1(36362444222kkkacb0k43kD154197)1(kk0DDABC12346.211211SABCD32SA(A)1(B)3(C)2(D)3114966C411ABCD32.9%2726.5%4039.2%2625.5%11C401)12(322hhvhABCDC4102)12(322hhv50221139.2%)12(322hhvabc33cba(a0,b0,c0)abc33cba)0,0,0(cba2C63)12(322hhv9911111)12(322hhv112311)12(322hhv[1]6.315315,16)sin2()cos2(|),{(22yxyxPR}P(A)32π(B)16π(C)12π(D)4π155515ABCD4241.2%2928.4%1918.6%109.8%10242A41.2%A7A56.8%BCD2B5C7D1ABCD15201021538116.424244511234(A)12(B)23(C)34(D)142662ABCD54.9%9694.1%00%11.0%621029694.1%1451AD246.5125121422yx0yx2(A)4(B)3(C)2(D)1127712ABCD7775.5%54.9%2019.6%00%12A7775.5%771),(yx22||yxd2||yx14222yxyx14222yxyx401422myxyxxy05m05yx0yx2210d42A3322||yxd02yx)0,2(0yx24A71533140222yxyx234322||bad1||ba1021||4422yxyx124(A)4(B)3(C)2(D)11021DD1422yx),(00yx0yx2),(00yx0yx24(A)4(B)3(C)2(D)041422yx012yx2(A)4(B)3(C)2(D)1715222[6]11[9][10]231520ABCD2015[2]443[11][12]5124DD[1]5”LeightonGierl453[13]211abc33cba)0,0,0(cba1139.2%[14~15][1][M]1996[2][J]1998723638[3][J]19986810[4][J]1999104042[5][J]200053536[6][J]200961718[7][M]1997[8]SPSS[M]2004[9][J]200918451[10][J]20081762128[11][D]2007[12][J]20091817578[13][J]20112027677[14][J]20132217476[15][J]20132219395EmpiricalInvestigationsaboutCommonlyUsedMethodsofHighSchoolStudentsinAnsweringMathematicsMultiple-choiceQuestionsandAnswersbyGuessingMAWen-jie1,LUOZeng-ru2(1.MathematicsDepartment,EastChinaNormalUniversity,Shanghai200241,China;2.DepartmentofMathematics,ShaanxiNormalUniversity,ShanxiXi’an710062,China)Abstract:Bystatisticalanalysisbasedontheanswersofthetestoneandthetesttwo,weinvestigatethecommonmethodsofhighschoolstudentstoanswermathematicsmultiple-choicequestions,includingansweringbyguessing.Thebasicconclusionsofthisstudyareasfollows:(1)Directanswermethodandindirectanswermethodarecommonlyusedmethodsofhighschoolstudentsinansweringmathematicsmultiple-choicequestions;(2)AnswerstoFixedanswer-typequestionsshouldhaveappropriateproceduralrequirements;(3)Aboutanswersbyguessing,somearerandomguessing,themorearesensibleguessing;(4)Thedesignofmathematicsmultiple-choicequestionisveryimportant,thebranchhavingmistakesshouldhaveenoughconfusing;(5)Bewareofnoachievingtheintentionofmathematicsmultiple-choicequestion.Keywords:mathematicsmultiple-choicequestion;thecommonansweringmethods;answerbyguessing[]