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Quantitative Literacy

Quantitative literacy or numeracy refers to the arithmetic knowledge and skills that are required by individuals to function effectively at work and in society. This entry discusses the concept and measurement of quantitative literacy, the results of surveys examining the quantitative literacy skills of adults in various countries, and the links between quantitative literacy and social and economic outcomes.

Historically, the concept of literacy included only basic skills connected to reading and writing. Over the years, however, it has expanded to include other skills. In 1978, the United Nations Educational, Scientific and Cultural Organization adopted its definition of literacy, still used today, which incorporates quantitative literacy or numeracy, stating:

A person is functionally literate who can engage in all those activities in which literacy is required for effective functioning of his group and community and also for enabling him to continue to use reading, writing and calculation for his own and the community’s development.

Similar definitions have been adopted by the Organization for Economic Cooperation and Development as well as international organizations and many national education agencies. This entry discusses the measurement of quantitative literacy, effects of literacy skills, and policy directions.

Measuring Quantitative Literacy

Quantitative literacy is focused on essential skills that involve computations, arithmetic operations, and mathematics concepts, either alone or sequentially, and that are required to function on a job or to carry out activities performed in daily living, such as figuring out a tip, calculating the overall cost of a list of products purchased, or computing taxes owed from a tax table. Although measurement of these skills can be determined by simply asking individuals whether they know how to add, subtract, multiply, and divide, the inaccuracy of self-identification and the more complex quantitative operations required by jobs and in the economy has led to the growing use of test-based measurement. Standardized tests of the quantitative skills of children in school are widely available through the efforts of national education agencies as well as international assessments of student achievement, such as the Programme for International Student Assessment and the Trends in International Mathematics and Science Study. But data for adults (16 years of age or older) are more scarce.

The earliest studies adopting a comprehensive test-based measure of quantitative literacy were developed by Educational Testing Service and the U.S. Department of Education and included the 1985 Young Adult Literacy Assessment Survey, the 1990 Workplace Literacy Survey, and the 1992 National Adult Literacy Survey. Currently, the Organization for Economic Cooperation and Development utilizes the same approach in its Programme for the International Assessment of Adult Competencies (PIAAC). The PIAAC has conducted quantitative literacy surveys for random samples of the population aged 16–65 years in over 40 countries, with results published for 32 countries so far. Test scores are standardized across countries and range from 0 to 500, gathered into five levels of increasing proficiency, with scores at or below Level 1 corresponding to a very rudimentary literacy, with the person able to carry out only operations with whole numbers, one at a time and in very concrete situations. Higher levels of proficiency progressively require two or more steps in calculations, more than one operation, use of decimals, and—at the top level—the use of abstract thinking, the ability to use data to construct graphs and statistical representations, and utilizing more complex mathematical problem-solving strategies.

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