【《初中代数教学难点的调查与统计分析》3500字】

PAGEPAGEI初中代数教学难点的调查与统计分析目录TOC\o"1-3"\h\u14970初中代数教学难点的调查与统计分析 123031.1调查的目的 1200661.2调查问卷的编制 118081.3调查对象 1121471.4问卷调查的实施 2143881.5初中代数教学难点调查结果统计与差异分析 21.1调查的目的了解学生和教师认为的初中代数教学难点，并得出各自的教学难点．根据问卷调查得出的数据，计算出各教学内容的平均难度系数值，分析学生与教师、不同学生群体在不同教学难点上的差异，并总结原因，从而提出自己有针对性的教学策略．1.2调查问卷的编制调查问卷分为两种：一种是以学生为调查研究对象的问卷，一种是以教师为调查研究对象的问卷．两种调查问卷内容基本相同．问卷以人民教育出版社初中数学七年级、八年级、九年级教材为依据，列出教材中的知识点，并在这些知识点之后附上四个难度值级别：容易、一般、较难、很难，即“1、2、3、4”，要求师生对每个知识点进行相应的难度值系数评价．然后根据调查统计，计算各知识点的评价难度系数值，得出调查统计表．初中代数教学难点的赋值计算方法为平均值难度系数值在2.5以上就算是教学难点．1.3调查对象调查的对象分别是已经完全学过初中所有知识的云南省昭通市昭阳区第二中学的200名九年级学生和昭阳区第二中学、昭阳区民族中学的教过初中所有知识的50位教师．1.4问卷调查的实施对云南省昭通市昭阳区第二中学的初三学生发放200份问卷，收回有效卷187份，有效率为91.5%；男生113人，约占60.43%；女生74人，约占39.57%；对昭阳区第二中学和民族中学的数学教师共发放50份问卷，收回有效问卷43份，有效率86%，并对问卷的结果进行分析整理．1.5初中代数教学难点调查结果统计与差异分析1.5.1问卷的整理分析1、学生认为的教学难点调查情况统计表：表1学生选择四种难易程度的人数及百分比情况统计表难易程度教学内容1234D12511.37%3217.11%10757.22%2312.29%D213572.19%4322.99%42.19%52.67%D310254.55%8141.32%31.60%10.53%D431.60%71.74%6836.36%10958.29%D58847.06%9249.20%31.60%42.14%D67439.57%8746.53%2111.23%52.56%D77741.18%6936.90%2111.23%2010.69%D894.81%3116.58%9852.41%4926.20%D9189.63%2611.90%9249.20%5127.27%D108344.39%9349.73%71.74%42.14%D116836.36%7942.25%179.90%2312.30%D122714.44%3217.11%7741.18%5127.27%D136331.69%8545.45%2111.23%189.63%D148746.52%6836.36%1910.16%136.96%D159249.20%7339.04%179.90%52.67%D16126.42%3217.11%6434.22%7942.25%D172312.30%2611.90%9349.73%4524.07%D187640.64%8241.85%2412.84%152.67%D19168.56%2211.76%7439.57%7540.11%D209450.27%6132.62%189.63%147.48%D217841.71%6331.69%2111.23%2511.37%D225227.81%10154.01%2010.70%147.49%D239852.40%6635.30%2111.23%21.07%D241910.16%2211.76%10355.08%4321.00%D256936.89%9550.80%189.63%84.28%D26115.88%158.02%8947.59%7238.51%D272611.91%3418.18%8241.85%4524.06%D285227.81%7640.64%3418.18%2511.37%D291910.16%2814.98%6434.22%7640.64%D305328.34%7540.11%3518.72%2412.83%D315127.27%7741.18%3317.65%2611.90%D325428.28%7439.57%3217.11%2614.44%D332111.23%2611.90%6635.29%7439.58%D345428.88%7439.57%3820.32%2111.23%D355328.34%7540.11%3016.04%2915.51%D365831.02%6936.90%3217.11%2814.97%D375730.48%7037.4353116.58%2915.51%D382915.51%3619.25%7238.50%5026.74%D396231.16%7137.97%5328.34%10.53%D405227.81%6132.62%4725.13%2714.44%D413116.58%2714.44%7439.57%5529.41%D425831.02%6331.69%4121.93%2511.36%D434322.99%7841.71%4021.39%2611.91%D445127.27%7139.97%4322.99%2211.77%D455328.34%7540.11%3016.04%2915.57%D469450.27%6132.62%189.63%147.48%D47168.56%2211.76%7439.57%7540.11%D486331.69%8545.45%2111.23%189.63%D499450.27%6132.62%189.63%147.48%D502312.30%3217.11%6434.22%6836.37%D515730.48%6434.22%4222.46%2412.84%D524222.64%7942.25%4121.93%2511.36%D535026.74%7238.50%4421.53%2111.23%D545629.95%7238.50%3317.65%2611.90%D554624.60%7540.11%4329.99%2312.30%D562814.97%2714.44%6735.83%6534.76%D578645.99%6936.90%139.95%1910.16%D588241.85%7339.04%2010.07%126.41%D595227.81%6936.90%4322.99%2312.30%D604222.46%7942.25%4121.93%2511.36%D615127.27%7139.97%4322.99%2211.77%D623820.32%4421.53%7942.25%2611.90%D637037.43%5629.95%3217.11%2915.51%D641910.16%2211.76%9349.73%5328.35%D652714.44%3619.25%5428.88%7037.43%D663418.18%3116.58%5831.02%6434.22%D672312.30%3518.72%6132.62%6836.36%D685227.81%6936.90%4322.99%2312.30%D697334.09%5428.88%3217.11%2814.97%D703217.11%3820.32%5931.55%5831.02%D712111.23%2611.90%6735.83%7339.04%表2学生对初中代数教学内容难度系数的平均值统计表教学内容平均难度值教学内容平均难度值D12.68D372.17D21.13D382.76D31.48D391.96D41.51D402.26D51.59D412.28D61.77D422.18D71.91D432.26D81.00D442.19D92.94D452.19D101.64D462.74D111.97D471.11D122.97D481.97D131.97D491.74D141.78D502.95D151.65D512.18D161.12D522.26D172.86D532.19D181.78D542.16D191.11D552.23D201.74D562.90D211.96D571.81D221.98D581.80D231.61D592.20D242.91D602.26D251.84D612.19D261.19D622.50D272.78D632.11D282.17D642.96D291.05D652.89D302.16D662.81D312.18D672.93D322.17D682.20D331.03D692.08D342.14D702.76D352.19D711.03D362.16表3学生认为的教学难点统计表学生选择的教学难点难度系数值学生选择的教学难点难度系数值D62可化为一元二次方程的分式方程和无理方程2.50D9有理数的乘法、乘法运算律2.94D1正数与负数2.68D67二次函数及其有关概念2.93D38平方差与完全平方公式2.76D64一次函数与一元一次不等式2.96D70函数的图像2.76D8有理数的加减混合运算1.00D27二元一次方程组的相关概念及其性质2.78D33一元一次不等式组1.03D12有理数的混合运算2.79D71反·比例函数1.03D41同底数幂的除法2.82D29一元方程组的应用1.05D17代数式的值2.86D19合并同类项1.11D65一元函数的图像和性质2.89D47可化为一元一次方程的分式方程及其应用1.11D56同类二次根式2.90D16列代数式1.12D24一元一次方程及其解法2.91D26二元一次方程组的解法1.19D50平方根与立方根2.95D4绝对值1.51从表3中可以看出，对于人教版数学七年级、八年级、九年级中的代数教学内容，学生得出的教学难点共有24个，其中七年级的教学难点有12个，八年级的教学难点有8个，涉及九年级的教学难点有4个．因此，不难从总结中得出，对于学生来讲，七年级的知识难点更多，八年级、九年级知识难点相对较少．同时，也可以看出学生认为七年级教学内容相对较难，学生不容易贯串．而八年级和九年级的教学内容相对较为简单一些，也可能是因为学生已经习惯了老师的教学方法和初中的学习习惯，所以学生学习起来较容易．同时也从侧面说明八年级和九年级的教学内容跨度较为缓和，难度安排较为合理，这将利于教师在教学过程中按照一定的步骤逐渐深入教学．2、教师认为的教学难点调查情况统计表：表4教师选择四种难易程度的人数及其百分比统计情况表难易程度教学内容1234D1611.95%716.28%2558.14%511.63%D23172.09%1021.25%12.33%12.33%D31944.19%1534.88%49.30%511.63%D412.33%24.65%1637.21%2455.81%D52046.50%2148.84%12.33%12.33%D61841.86%1637.21%511.63%49.20%D71739.54%2046.50%511.63%12.33%D824.65%716.28%2351.49%1125.58%D9511.63%611.95%2148.84%1125.58%D101944.19%2148.84%24.64%12.33%D11611.95%716.98%2351.49%716.28%D12818.60%920.93%2558.14%12.33%D131432.56%2045.50%511.63%36.98%D142046.50%1637.21%49.20%136.96%D152251.16%1637.21%36.98%24.65%D1636.98%716.28%1534.88%1841.86%D17511.63%611.95%2148.48%1125.58%D181841.86%1841.86%611.95%12.33%D1936.98%511.63%1739.54%1841.86%D2024.65%24.65%1739.54%2251.16%D211841.86%1432.56%511.63%611.95%D221227.91%1841.86%818.60%511.63%D231021.26%1534.88%1227.91%611.95%D24511.62%920.93%1841.86%1227.91%D2549.20%9550.80%189.63%84.28%D261739.54%1637.20%716.28%36.98%D27611.95%920.93%1841.87%1021.35%D281432.56%1330.23%920.93%716.28%D291841.88%1944.19%511.63%49.20%D3049.20%716.28%2148.84%1125.58%D31511.63%511.95%2351.49%920.93%D321227.91%1841.86%716.28%611.95%D331330.23%1739.54%1021.35%36.98%D341534.88%1841.87%611.95%49.20%D351841.86%1637.21%511.63%49.20%D361432.56%1841.87%920.93%24.65%D371534.88%1432.56%1125.58%36.98%D38511.62%716.28%1944.19%1227.91%D391227.91%1841.86%716.28%611.95%D401021.26%1534.88%1227.91%611.95%D4149.20%716.28%2148.84%1125.58%D42611.95%920.93%1841.87%1021.35%D4324.65%24.65%1729.54%2251.16%D441944.19%2148.84%24.64%12.33%D451227.90%1739.54%716.28%716.28%D461021.26%1944.19%818.60%611.95%D4749.20%511.63%1739.54%1739.54%D481841.86%1841.86%611.95%12.33%D491432.56%2046.50%511.63%49.20%D50511.63%716.28%1534.88%1637.21%D51611.95%716.28%1841.86%1227.91%D521612.73%816.08%716.28%511.62%D53818.60%818.60%1432.56%1332.23%D541432.56%1227.91%818.60%920.93%D551227.81%1534.89%818.60%818.60%D56716.28%659.31%1219.72%1878.14%D571637.22%1841.86%716.28%24.64%D581330.23%1330.23%1021.26%718.60%D591125.58%1534.89%920.93%818.60%D6049.20%920.93%1739.54%1330.23%D611021.26%1637.21%920.93%818.60%D62716.28%818.60%1637.21%1227.91%D6336.98%511.63%2148.83%1432.56%D641227.91%1739.54%920.93%511.62%D65818.60%716.28%1330.23%1534.88%D662251.16%1637.21%36.98%24.65%D6736.98%511.63%1739.54%1841.86%D681227.98%1841.86%818.60%511.63%D691021.26%1554.88%1227.91%611.95%D70716.28%920.93%1227.91%534.88%D71511.63%611.95%1534.88%1739.54%表5教师对初中代数教学内容难度系数的平均值统计表教学内容平均难度值教学内容平均难度值D12.67D372.17D21.34D382.88D31.88D392.16D41.47D402.23D51.61D412.91D61.88D422.74D71.77D431.37D81.42D441.65D92.88D452.21D101.65D462.23D112.72D471.09D122.50D481.78D131.98D491.98D141.77