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Problem Solving: Proficiency Levels


High and Low Performers


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Excel File 2012 Problem Solving Proficiency Levels Description

Figure PS1a. Percentage of 15-year-old students performing at PISA problem solving proficiency levels 5 and above and below level 2, by education system: 2012

data in this figure can be found in the table below

* p<.05. Significantly different from the U.S. percentage at the .05 level of statistical significance.
NOTE: Education systems are ordered by 2012 percentages of 15-year-olds in levels 5 and above. To reach a particular proficiency level, a student must correctly answer a majority of items at that level. Students were classified into problem solving proficiency levels according to their scores. Exact cut scores are as follows: below level 1 (a score less than or equal to 358.49); level 1 (a score greater than 358.49 and less than or equal to 423.42); level 2 (a score greater than 423.42 and less than or equal to 488.35); level 3 (a score greater than 488.35 and less than or equal to 553.28); level 4 (a score greater than 553.28 and less than or equal to 618.21); level 5 (a score greater than 618.21 and less than or equal to 683.14); and level 6 (a score greater than 683.14). Scores are reported on a scale from 0 to 1,000. The OECD average (PS) is the average of the national percentages of the 28 OECD member countries that participated in the problem solving (PS) assessment, with each country weighted equally. The following OECD countries did not participate in the problem solving assessment: Greece, Iceland, Luxembourg, Mexico, New Zealand, and Switzerland. Italics indicate non-OECD countries and education systems.
SOURCE: Organization for Economic Cooperation and Development (OECD), Program for International Student Assessment (PISA), 2012.


Excel File Excel Download
Excel File 2012 Problem Solving Proficiency Levels Description

Table PS1b. Percentage of 15-year-old students performing at PISA problem solving proficiency levels 5 and above and below level 2, by education system: 2012
Education system Below level 2   Levels 5 and above   Education system Below level 2   Levels 5 and above
Percent s.e.   Percent s.e.   Percent s.e.   Percent s.e.
OECD average (PS) 21.4 * 0.24   11.4   0.17                  
Singapore 8.0 * 0.40   29.3 * 0.83   Israel 38.9 * 1.81   8.8 * 1.03
Korea, Republic of 6.9 * 0.77   27.6 * 1.74   Sweden 23.5 * 1.10   8.8 * 0.64
Japan 7.1 * 0.80   22.3 * 1.24   Denmark 20.4   1.14   8.7 * 0.83
Hong Kong-China 10.4 * 1.08   19.3 * 1.33   Slovak Republic 26.1 * 1.56   7.8 * 0.89
Chinese Taipei 11.6 * 0.92   18.3 * 0.94   Spain 28.5 * 1.44   7.8 * 0.70
Shanghai-China 10.6 * 0.94   18.3 * 1.26   Portugal 20.6   1.35   7.4 * 0.76
Canada 14.7 * 0.69   17.5 * 0.76   Russian Federation 22.1 * 1.48   7.3 * 0.93
Australia 15.5   0.58   16.7 * 0.64   Poland 25.7 * 1.66   6.9 * 0.81
Macao-China 7.5 * 0.46   16.6 * 0.59   Slovenia 28.5 * 1.02   6.6 * 0.50
Finland 14.3 * 0.66   15.0 * 0.82   Hungary 35.0 * 1.51   5.6 * 0.77
Belgium 20.8   0.87   14.4 * 0.76   Serbia, Republic of 28.5 * 1.48   4.7 * 0.43
United Kingdom 16.4   1.35   14.3   1.09   Croatia 32.3 * 1.55   4.7 * 0.71
Netherlands 18.5   1.50   13.6   1.19   Cyprus 40.4 * 0.84   3.6 * 0.26
Norway 21.3   1.07   13.1   0.92   United Arab Emirates 54.8 * 1.10   2.5 * 0.21
Germany 19.2   1.38   12.8   1.12   Turkey 35.8 * 1.93   2.2 * 0.54
France 16.5   1.14   12.0   0.95   Chile 38.3 * 1.84   2.1 * 0.31
Czech Republic 18.4   1.15   11.9   0.82   Brazil 47.3 * 2.34   1.8 * 0.39
Estonia 15.1   1.04   11.8   0.76   Bulgaria 56.7 * 1.90   1.6 * 0.37
United States 18.2   1.34   11.6   0.95   Uruguay 57.9 * 1.53   1.2 * 0.24
Austria 18.4   1.30   10.9   0.95   Colombia 61.5 * 1.63   1.2 * 0.27
Italy 16.4   1.45   10.8   1.10   Malaysia 50.5 * 1.82   0.9 * 0.24
Ireland 20.3   1.13   9.4   0.74   Montenegro, Republic of 56.8 * 0.86   0.8 * 0.18
* p<.05. Significantly different from the U.S. percentage at the05 level of statistical significance.
NOTE: Education systems are ordered by 2012 percentages of 15-year-olds in levels 5 and above. To reach a particular proficiency level, a student must correctly answer a majority of items at that level. Students were classified into problem solving proficiency levels according to their scores. Exact cut scores are as follows: below level 1 (a score less than or equal to 358.49); level 1 (a score greater than 358.49 and less than or equal to 423.42); level 2 (a score greater than 423.42 and less than or equal to 488.35); level 3 (a score greater than 488.35 and less than or equal to 553.28); level 4 (a score greater than 553.28 and less than or equal to 618.21); level 5 (a score greater than 618.21 and less than or equal to 683.14); and level 6 (a score greater than 683.14). Scores are reported on a scale from 0 to 1,000. The OECD average (PS) is the average of the national percentages of the 28 OECD member countries that participated in the problem solving (PS) assessment, with each country weighted equally. The following OECD countries did not participate in the problem solving assessment: Greece, Iceland, Luxembourg, Mexico, New Zealand, and Switzerland. 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
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