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Mathematics Literacy: Proficiency Levels


High and Low Performers

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Figure M2a. Percentage of 15-year-old students performing at PISA mathematics literacy proficiency levels below level 2 and levels 5 and above, by education system: 2015

data in this figure can be found in the table

Below level 2 Below level 2
Level 5 and above Level 5 and above
# Rounds to zero.
! Interpret data with caution. Estimate is unstable due to high coefficient of variation (>30 percent and ≤50 percent)..
‡ Reporting standards not met due to coefficient of variation over 50 percent.
*p<.05. Significantly different from the U.S. percentage at the .05 level of statistical significance.
NOTE: Education systems are ordered by 2015 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 mathematics proficiency 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. Italics indicate non-OECD countries and education systems. B-S-J-G (China) refers to the four PISA participating China provinces: Beijing, Shanghai, Jiangsu, Guangdong. Results for Massachusetts and North Carolina are for public school students only. Although Argentina, Malaysia, and Kazakhstan participated in PISA 2015, technical problems with their samples prevent results from being discussed in this report. This figure corresponds to figure 6 in Performance of U.S. 15-Year-Old Students in Science, Mathematics, and Reading Literacy in an International Context (NCES 2017-048).
SOURCE: Organization for Economic Cooperation and Development (OECD), Program for International Student Assessment (PISA), 2015.

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Table M2b. Percentage of 15-year-old students performing at PISA mathematics literacy proficiency levels below level 2 and levels 5 and above, by education system: 2015
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 23.4 * 0.18   10.7 * 0.13   Croatia 32.0   1.37   5.6   0.54
Singapore 7.6 * 0.39   34.8 * 0.77   Latvia 21.4 * 1.01   5.2   0.42
Chinese Taipei 12.7 * 0.73   28.1 * 1.25   Bulgaria 42.1 * 1.80   4.4   0.63
Hong Kong (China) 9.0 * 0.77   26.5 * 1.14   Buenos Aires (Argentina) 34.1   3.20   4.0   1.09
B-S-J-G (China) 15.8 * 1.21   25.6 * 1.90   Greece 35.8 * 1.77   3.9 * 0.48
Macau (China) 6.6 * 0.52   21.9 * 0.62   United Arab Emirates 48.7 * 1.21   3.7 * 0.34
Korea, Republic of 15.5 * 1.06   20.9 * 1.33   Romania 39.9 * 1.84   3.3 * 0.53
Japan 10.7 * 0.81   20.3 * 1.26   Cyprus 42.6 * 0.80   3.2 * 0.41
Switzerland 15.8 * 1.03   19.2 * 1.05   Trinidad and Tobago 52.3 * 0.83   2.5 * 0.31
Belgium 20.1 * 0.96   15.9 * 0.67   Qatar 58.7 * 0.70   2.2 * 0.19
Netherlands 16.7 * 0.89   15.5 * 0.78   Lebanon 60.2 * 1.58   2.0 * 0.33
Canada 14.4 * 0.70   15.1 * 0.76   Moldova, Republic of 50.3 * 1.25   1.7 * 0.25
Estonia 11.2 * 0.71   14.2 * 0.81   Uruguay 52.4 * 1.23   1.7 * 0.37
Slovenia 16.1 * 0.58   13.5 * 0.68   Georgia 57.1 * 1.18   1.6 * 0.40
Germany 17.2 * 1.00   12.9 * 0.78   Montenegro, Republic of 51.9 * 0.95   1.5 * 0.22
Austria 21.8 * 1.08   12.5 * 0.87   Thailand 53.8 * 1.62   1.4 * 0.35
Poland 17.2 * 1.00   12.2 * 0.88   Chile 49.4 * 1.28   1.4 * 0.21
Malta 29.1   0.81   11.8 * 0.67   Turkey 51.4 * 2.17   1.1 * 0.36
Finland 13.6 * 0.83   11.7 * 0.70   Albania 53.3 * 1.92   1.1 * 0.25
Denmark 13.6 * 0.85   11.7 * 0.73   Brazil 70.3 * 1.22   0.9 * 0.21
France 23.5 * 0.93   11.4 * 0.69   Macedonia, Republic of 70.2 * 0.77   0.8 * 0.19
Portugal 23.8 * 0.95   11.4 * 0.70   Indonesia 68.6 * 1.56   0.7 * 0.19
New Zealand 21.6 * 1.02   11.4 * 0.71   Tunisia 74.8 * 1.24   0.5 !* 0.23
Australia 22.0 * 0.61   11.3 * 0.62   Peru 66.2 * 1.41   # *
Norway 17.1 * 0.77   10.6 * 0.67   Mexico 56.6 * 1.31   # !*
United Kingdom 21.9 * 1.01   10.6 * 0.69   Colombia 66.3 * 1.18   # !*
Italy 23.3 * 1.06   10.5 * 0.80   Costa Rica 62.5 * 1.51   # !*
Sweden 20.8 * 1.20   10.4 * 0.86   Jordan 67.5 * 1.31   # !*
Czech Republic 21.7 * 1.07   10.4 * 0.78   Algeria 81.0 * 1.34    
Iceland 23.6 * 1.01   10.3 * 0.78   Kosovo 77.7 * 1.05    
Luxembourg 25.8 * 0.69   10.0 * 0.52   Dominican Republic 90.5 * 1.04    
Ireland 15.0 * 0.89   9.8 * 0.58                  
Vietnam 19.1 * 1.67   9.3 * 1.34                  
Israel 32.1   1.37   8.9 * 0.89                  
Russian Federation 18.9 * 1.17   8.8 * 0.74                  
Hungary 28.0   1.15   8.1 * 0.64                  
Slovak Republic 27.7   1.19   7.8 * 0.64   U.S. states and territories              
Spain 22.2 * 0.97   7.2   0.62   Massachusetts 17.2 * 1.84   10.0 * 1.34
Lithuania 25.4 * 1.07   6.9   0.66   North Carolina 28.8   2.08   5.5   0.89
United States 29.4   1.44   5.9   0.70   Puerto Rico 72.6 * 3.66    
† Not applicable.
# Rounds to zero.
! Interpret data with caution. Estimate is unstable due to high coefficient of variation (>30 percent and ≤50 percent).
‡ Reporting standards not met due to coefficient of variation over 50 percent.
* p<.05. Significantly different from the U.S. percentage at the .05 level of statistical significance.
NOTE: Education systems are ordered by 2015 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 mathematics proficiency evels according to their scores. Exact cut scores are as follows: level 2 and below (a score less than or equal to 484.14); level 5 and above (a score greater than 606.99). 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. Italics indicate non-OECD countries and education systems. B-S-J-G (China) refers to the four PISA participating China provinces: Beijing, Shanghai, Jiangsu, and Guangdong. Results for Massachusetts and North Carolina are for public school students only. Although Argentina, Malaysia, and Kazakhstan participated in PISA 2015, technical problems with their samples prevent results from being discussed in this report. This table corresponds to figure 6 in Performance of U.S. 15-Year-Old Students in Science, Mathematics, and Reading Literacy in an International Context (NCES 2017-048).
SOURCE: Organization for Economic Cooperation and Development (OECD), Program for International Student Assessment (PISA), 2015.