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Computer-Based Assessments: Mathematics Computer-Based Assessment


Proficiency Levels

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Table CM1. Percentage distribution of 15-year-old students on PISA computer-based mathematics literacy scale, by proficiency level and education system: 2012
Education system Below level 1   Level 1   Level 2   Level 3   Level 4   Level 5   Level 6
Percent s.e.   Percent   s.e.   Percent   s.e.   Percent   s.e.   Percent   s.e.   Percent s.e.   Percent s.e.
OECD average 6.9   0.16   13.1   0.17   22.7   0.19   26.3   0.21   19.8   0.19   8.7   0.15   2.6   0.09
Australia 5.0   0.35   11.6   0.49   22.1   0.65   26.8   0.59   20.9   0.55   10.2   0.40   3.4   0.31
Austria 5.1   0.74   12.3   0.90   20.4   0.94   26.2   0.98   23.2   1.03   10.4   0.90   2.4   0.37
Belgium 6.8   0.53   11.0   0.60   18.9   0.63   24.5   0.75   21.9   0.64   12.4   0.59   4.5   0.37
Brazil 22.6   1.85   28.4   1.22   27.3   1.69   13.9   0.96   6.0   1.05   1.6   0.48   0.2 ! 0.10
Canada 4.1   0.35   8.6   0.42   18.8   0.62   26.9   0.65   24.3   0.77   12.8   0.67   4.5   0.45
Chile 18.2   1.40   26.9   1.21   28.0   0.98   18.3   1.06   7.1   0.63   1.4   0.20   0.2 ! 0.06
Chinese Taipei 2.8   0.42   7.5   0.63   16.2   0.89   25.0   0.88   26.4   0.96   16.1   0.88   6.0   0.64
Colombia 28.9   1.58   35.5   1.22   23.8   1.04   9.2   0.77   2.2   0.42   0.3 ! 0.12    
Denmark 6.0   0.61   13.0   0.77   23.4   0.97   27.5   1.18   20.8   0.86   7.7   0.56   1.6   0.26
Estonia 2.9   0.42   9.3   0.55   22.1   0.85   29.1   0.96   23.3   1.00   10.6   0.68   2.8   0.41
France 5.6   0.84   10.8   0.71   20.1   0.95   27.1   0.93   23.3   0.95   10.5   0.83   2.5   0.42
Germany 6.5   0.66   11.4   0.78   19.7   0.85   25.3   0.99   21.7   0.80   11.5   0.76   4.0   0.49
Hong Kong-China 2.6   0.48   5.2   0.76   12.1   0.81   24.5   1.01   30.3   1.14   18.7   1.02   6.7   0.65
Hungary 11.3   1.20   17.4   0.99   26.0   1.23   24.4   1.14   14.4   0.98   5.5   0.69   1.0   0.31
Ireland 5.3   0.66   12.5   0.83   25.2   0.85   30.3   1.11   19.5   0.99   6.1   0.50   0.9   0.20
Israel 20.7   1.60   18.0   1.13   21.9   0.95   20.1   0.89   13.0   0.99   5.3   0.77   1.1   0.26
Italy 4.8   0.81   12.8   1.05   24.1   1.28   28.8   1.24   20.3   1.14   7.5   0.95   1.8   0.42
Japan 2.4   0.44   6.6   0.61   16.3   0.85   26.5   1.17   26.9   1.07   14.8   0.89   6.6   0.87
Korea, Republic of 1.8   0.29   5.4   0.62   14.3   0.96   23.9   1.03   26.9   1.28   18.7   1.23   9.0   1.23
Macao-China 1.7   0.19   5.9   0.40   15.3   0.53   26.4   0.66   28.5   0.82   16.6   0.63   5.6   0.42
Norway 5.5   0.61   13.2   0.76   24.4   0.89   27.0   1.01   19.7   0.79   8.3   0.59   2.0   0.30
Poland 6.6   0.79   14.3   0.94   25.7   1.00   27.2   0.88   18.0   1.03   6.8   0.75   1.5   0.31
Portugal 6.4   0.64   14.9   0.94   25.2   0.93   27.2   1.04   18.4   0.97   6.5   0.65   1.5   0.25
Russian Federation 5.2   0.51   13.8   0.82   27.3   0.91   29.3   1.05   17.7   0.94   5.7   0.54   1.1   0.21
Shanghai-China 1.8   0.35   5.1   0.56   13.2   0.84   20.8   0.92   25.8   0.99   21.0   1.01   12.3   0.88
Singapore 2.0   0.27   5.7   0.40   12.4   0.53   19.7   0.60   24.7   1.00   21.2   0.86   14.4   0.62
Slovak Republic 6.1   0.83   11.8   0.88   23.0   1.06   29.1   1.27   20.9   1.06   7.6   0.76   1.5   0.39
Slovenia 7.1   0.40   15.8   0.67   25.3   0.85   25.3   0.99   17.9   0.79   7.4   0.47   1.3   0.31
Spain 8.5   0.92   16.4   0.85   27.1   0.98   27.7   1.02   15.9   0.91   4.0   0.43   0.4 ! 0.13
Sweden 6.2   0.53   14.7   0.77   25.2   0.78   28.0   0.78   17.5   0.79   6.8   0.59   1.6   0.33
United Arab Emirates 18.2   0.88   25.5   0.80   28.5   0.83   18.3   0.69   7.3   0.48   2.0   0.28   0.2 ! 0.08
United States 5.9   0.84   12.4   0.99   24.7   1.09   26.9   0.89   19.3   1.05   8.2   0.78   2.5   0.51
† Not applicable.
! Interpret data with caution. Estimate is unstable due to high coefficient of variation.
‡ Reporting standards not met.
NOTE: The computer-based mathematics literacy assessment was an optional assessment for education systems in 2012. To reach a particular proficiency level, a student must correctly answer a majority of items at that level. Students were classified into mathematics literacy levels according to their scores. Exact cut scores are as follows: below level 1 (a score less than or equal to 357.77); level 1 (a score greater than 357.77 and less than or equal to 420.07); level 2 (a score greater than 420.07 and less than or equal to 482.38); level 3 (a score greater than 482.38 and less than or equal to 544.68); level 4 (a score greater than 544.68 and less than or equal to 606.99); level 5 (a score greater than 606.99 and less than or equal to 669.30); and level 6 (a score greater than 669.30). Scores are reported on a scale from 0 to 1,000. The OECD average is the average of the national percentages of the OECD member countries, with each country weighted equally. Standard error is noted by s.e. Detail may not sum to totals because of rounding. Italics indicate non-OECD countries and education systems.
SOURCE: Organization for Economic Cooperation and Development (OECD), Program for International Student Assessment (PISA), 2012.

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National Center for Education Statistics - http://nces.ed.gov
U.S. Department of Education