This work draws on the Programme for the International Assessment of Adult Competencies (PIAAC) survey. Last year a first review was conducted on the PIAAC Numeracy Framework (Tout. et al., 2017). In 2018 and 2019 the framework for the second cycle of PIAAC will be developed. This second cycle of the PIAAC survey aims to update the data about the numeracy skills of adults in different countries around the World (Hoogland, Díez-Palomar, Maguire, 2019). The objective of this paper is to highlight some relevant findings from literature on the concept numeracy in order to discuss a potential enrichment of the PIAAC Numeracy Assessment Framework (NAF).
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Conducting large calculations manually with pen and paper following prescribed procedures or algorithms has been diminishing in significance for some time. In most cultures, and for many years already, individuals employ digital instruments for such computational tasks, when confronted with them in daily life. Yet, a closer examination of prevalent practices in the teaching of basic numeracy skills in adult education reveals a persistent emphasis on mastering standardized manual calculation techniques, especially with abstract and decontextualized numbers. This emphasis predominantly stems from the belief that mastering these manual procedures forms the cornerstone of all numeracy abilities. Contrastingly, our research indicates that the numeracy skills most frequently utilized and required in contemporary professions and daily activities encompass higher-order capabilities (Hoogland and Stoker, 2021; Boels et al., 2022; Hoogland and Díez-Palomar, 2022). These include interpretation, reasoning, mathematizing, estimation, critical reflection on quantitative data, and the application of digital instruments for computation. It is imperative, therefore, that numeracy education for adults prioritizes these competencies to achieve efficacy.
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We assess the incidence of numeracy skills mismatch in five countries: Belgium, Chile, Italy, Netherlands, and the United States of America. To do this, we make use of a new approach (Brun-Schamme & Rey, 2021), namely by identifying someone as being mismatched if the score for numeracy skills is outside the interval [median – SD , median + SD]. We make use of the PIAAC dataset, collected by the OECD, a survey that measures adults’ proficiency in numeracy among other type of skills. We find that 14% of the workers are over-skilled, whereas 16% are under-skilled. Being over-skilled is more likely for men, younger age-groups, having a high level of education, using numeracy skills often at work, and having studied science, mathematics, and engineering.
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