JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (7): 115-120.doi: 10.6040/j.issn.1671-9352.0.2022.523

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Analysis of evaluation model on teaching effect based on cluster analysis and discrimination information

Xin JIN1(),Feifan YU2,Yutong DAI1,Ziqian LI1,*(),Yongkui ZOU1   

  1. 1. School of Mathematics, Jilin University, Changchun 130012, Jilin, China
    2. School of Business, Hong Kong Baptist University, Hong Kong 999077, China
  • Received:2022-10-04 Online:2023-07-20 Published:2023-07-05
  • Contact: Ziqian LI E-mail:xin@jlu.edu.cn;zqli21@mails.jlu.edu.cn

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Abstract:

In this paper, a cluster analysis algorithm and discriminant information method are used to construct a correlation model for evaluating the academic level of college students and student management measures. Based on the average number, median number, pass rate, excellent rate and the degree of distinction, a coefficient is proposed to evaluate the effectiveness of teaching reform measures and the effectiveness of the coefficient is analyzed. We apply this method to 9 years of cumulative grade data including multiple courses, analyze the correlation between grade changes and related management measures, and verify the validity of the model.

Key words: cluster analysis, discrimination information, teaching evaluation model

CLC Number: 

  • O213

Table 1

Analysis of the average numbers for grade 2012—2020"

年级 数学分析1 数学分析2 数学分析3 高等代数1 高等代数2 空间解析几何
2012~2016级 78.05 70.30 76.35 79.16 73.78 77.48
2017~2020级 81.21 77.19 80.32 82.03 76.25 79.00
增幅/% +4.05 +9.80 +5.20 +3.63 +3.35 +1.96

Table 2

Analysis of the median numbers for grade 2012—2020"

年级 数学分析1 数学分析2 数学分析3 高等代数1 高等代数2 空间解析几何
2012~2016级 80.0 71.0 80.0 82.0 76.0 80.0
2017~2020级 82.0 79.0 82.5 84.0 77.0 82.0
增幅/% +2.50 +11.27 +3.13 +2.44 +1.31 +2.50

Table 3

Analysis of the pass rates for grade 2012—2020 %"

年级 数学分析1 数学分析2 数学分析3 高等代数1 高等代数2 空间解析几何
2012~2016级 95.80 89.45 92.54 96.05 92.54 95.11
2017~2020级 99.40 96.18 98.29 98.89 96.08 96.58
增幅 +3.76 +7.52 +6.21 +2.96 +3.83 +1.55

Table 4

Analysis of the excellent rates for grade 2012—2020 %"

年级 数学分析1 数学分析2 数学分析3 高等代数1 高等代数2 空间解析几何
2012~2016级 19.81 10.12 23.16 26.16 18.01 19.98
2017~2020级 20.02 17.61 25.65 29.78 16.90 30.48
增幅 +1.06 +74.01 +10.75 +13.84 -6.16 +52.55

Table 5

Analysis of the degree of distinction for grade 2012—2020"

年级 数学分析1 数学分析2 数学分析3 高等代数1 高等代数2 空间解析几何
2012~2016级 0.54 0.46 0.41 0.35 0.39 0.35
2017~2020级 0.42 0.53 0.46 0.46 0.50 0.52
增幅/% -22.22 +15.21 +12.20 +31.43 +28.21 +48.57

Table 6

Analysis of the coefficient of efficiency for grade 2012—2020"

课程 数学分析1 数学分析2 数学分析3 高等代数1 高等代数2 空间解析几何
EFF 1.02 1.22 1.12 1.10 1.10 1.12

Table 7

Center of clustering and proportion of Mathematical Analysis 1 for grade 2012—2020"

年级 中心1 占比/% 中心2 占比/% 中心3 占比/% 中心4 占比/% 中心5 占比/%
2012~2016级 40.43 4.03 63.20 17.24 74.04 24.19 83.07 29.25 92.18 25.30
2017~2020级 35.50 0.60 67.43 17.61 77.71 29.68 85.45 32.09 93.08 20.02
增幅/% -12.19 -85.11 6.69 2.15 4.96 22.70 2.87 9.71 0.98 -20.87

Table 8

Center of clustering and proportion of Mathematical Analysis 2 for grade 2012—2020"

年级 中心1 占比/% 中心2 占比/% 中心3 占比/% 中心4 占比/% 中心5 占比/%
2012~2016级 24.10 3.52 42.73 6.95 62.64 32.08 74.74 31.90 88.20 25.56
2017~2020级 39.59 3.72 63.12 21.73 74.49 25.25 84.22 29.07 92.48 20.22
增幅/% 64.27 5.68 47.72 212.66 18.92 -21.29 12.68 -8.87 4.85 -20.89

Table 9

Center of clustering and proportion of Mathematical Analysis 3 for grade 2012—2020"

年级 中心1 占比/% 中心2 占比/% 中心3 占比/% 中心4 占比/% 中心5 占比/%
2012~2016级 16.57 1.97 40.38 5.40 65.02 36.19 78.32 31.90 90.93 36.19
2017~2020级 39.19 1.61 63.47 14.29 73.72 22.84 83.33 29.07 91.82 32.19
增幅/% 136.51 -18.27 57.18 164.63 13.38 -36.89 6.40 -8.87 0.98 -11.05

Table 10

Center of clustering and proportion of Advanced Algebra 1 for grade 2012—2020"

年级 中心1 占比/% 中心2 占比/% 中心3 占比/% 中心4 占比/% 中心5 占比/%
2012~2016级 29.24 2.92 60.36 13.03 71.54 19.55 82.34 30.87 92.31 33.62
2017~2020级 36.36 1.11 65.28 15.60 76.90 25.86 85.57 27.26 93.92 29.78
增幅/% 24.35 -61.99 8.15 19.72 7.49 32.28 3.92 -11.69 1.74 -11.42

Table 11

Center of clustering and proportion of Advanced Algebra 2 for grade 2012—2020"

年级 中心1 占比/% 中心2 占比/% 中心3 占比/% 中心4 占比/% 中心5 占比/%
2012~2016级 11.82 3.26 38.84 4.20 63.47 28.99 77.06 30.19 90.21 33.36
2017~2020级 34.40 3.52 62.19 20.82 72.73 25.85 82.22 27.88 92.87 21.93
增幅/% 191.03 7.98 60.12 395.71 14.59 -10.83 6.70 -7.65 2.95 -34.26

Table 12

Center of clustering and proportion of Space Analytic Geometry for grade 2012—2020"

年级 中心1 占比/% 中心2 占比/% 中心3 占比/% 中心4 占比/% 中心5 占比/%
2012~2016级 12.60 1.72 42.92 3.17 64.83 21.78 78.52 35.93 89.76 37.39
2017~2020级 33.47 3.02 61.77 20.72 73.48 19.11 83.97 24.55 93.67 32.60
增幅/% 165.63 75.58 43.92 553.63 13.34 -12.26 6.94 -31.67 4.36 -12.81

Table 13

Discriminant informations of courses for grade 2012—2020"

课程 低于60分 60~69分 70~79分 80~89分 90~100分
数学分析1 1.94 0.47 -0.09 -0.21 -0.01
数学分析2 1.01 0.35 0.08 -0.44 -0.55
数学分析3 1.47 0.18 0.01 -0.22 -0.10
高等代数1 1.27 0.32 -0.12 -0.04 -0.13
高等代数2 0.64 0.11 -0.23 -0.06 0.06
空间解析几何 0.36 -0.32 0.28 0.32 -0.42
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