The properties of serial position functions for tachistoscopic report were investigated over a wide ra!J.ge of viewing times. Four-letter strings of random consonants were presented in varying display loc~ions relative to the fixation point with the observers' eye movements monitored to limit them to a single fixgtion for each display. Salient properties of the serial position curves include an overall central-peripheral gradient, higher performance at the ends than the interior of letter strings regardless of absolute location, and left-right asymmetry in the visual field, all of these being largely independent of viewing time. Errors reflecting loss of positional information are prominent even at extended viewing times, are more nearly symmetrical in the left and right visual fields than other types of errors, and, in contrast to item errors, occur less frequently in letter sequences that have high frequencies in English. Further, transposition errors exhibit a pronounced peripheral-to-central drift, possibly reflecting gradients of positional uncertainty. Such gradients may be implicated in the peripheral-central asymmetry of the lateral interference effects exerted by other letters on a target letter in a nonfoveallocation.

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The social practices framework has had a major impact on adult literacy and numeracy research over the past quarter century in the US, the UK and other countries. To date, the social practices view has had far less influence on the development of policies and programs in adult literacy and numeracy education. To help this happen, new kinds of assessment tools aligned with the social practices framework are needed to support appropriate changes in curriculum design, learner assessment and program evaluation.In this article research is presented that illustrates how measures of adults' engagement in literacy and numeracy practices can be used in conjunction with well-entrenched proficiency measures to provide a richer quantitative framework for adult literacy and numeracy development. Longitudinal data about learners indicate that adult education programs are more closely aligned with practice engagement measures than with proficiency measures. Program participation leads to increased practice engagement that, over time, leads to the very gains in proficiency currently valued by policy makers.

Practice engagement theory (PET) posits that individuals' literacy proficiencies develop as a by-product of their engagement in everyday reading and writing practices and, reciprocally, that literacy proficiencies affect levels of engagement in reading and writing practices. This suggests that literacy training which increases engagement in meaningful practices might generate proficiency growth. Research has shown that this approach does indeed seem to be effective in improving (adult) learners' literacy proficiency. A number of cross-sectional comparisons of participants' and non-participants' performance in various training activities, as well as quantitative modelling of adults' proficiency growth in longitudinal studies have confirmed the theoretical assumptions of PET. The authors of this article describe the first application of PET to literacy and numeracy development in a longitudinal study of a nationally representative adult population. Their investigation followed a sample of adults initially interviewed and assessed in the German component of the Programme for the International Assessment of Adult Competencies (PIAAC), adding longitudinal data from three additional waves of the national extension study (PIAAC-L), which included repeated assessments of literacy and numeracy proficiency over a period of three years. The authors' quantitative modelling of the growth of literacy and numeracy proficiency over time provides strong support for PET. Their comparisons of how various practice engagement indexes predict growth of literacy and numeracy proficiencies indicate that reading engagement is the strongest predictor of literacy growth and maths engagement is the strongest predictor of numeracy growth. The authors conclude their article by considering their findings' implications for sustainable development, lifelong learning policy and future research into the development of adult literacy and numeracy proficiency.

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