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• The paper investigates whether students' ability relative to their school peers is linked to overclaiming. • Being higher achieving than one's school peers is found to be linked to overclaiming. • Effect sizes are relatively modest at around 0.1 standard deviations. Using the OECD's Programme for International Student Assessment (PISA) study, we investigate whether students' relative ability in mathematics (in comparison to their school peers) is linked to their tendency to overclaim. Although the estimated effect size is modest (around 0.1 standard deviations) we find empirical support that being a big fish in a small pond is linked to overclaiming, with this robust to different analytic approaches and model specifications. Thus, being one of the highest academic achievers within a school may push young people's beliefs in their own abilities too far, straying into overconfidence and making claims about their knowledge and skills that they cannot justify. [ABSTRACT FROM AUTHOR]

Inquiry-based science teaching involves supporting pupils to acquire scientific knowledge indirectly by conducting their own scientific experiments, rather than receiving scientific knowledge directly from teachers. This approach to instruction is widely used among science educators in many countries. However, researchers and policymakers have recently called the effectiveness of inquiry approaches into doubt. Using nationally-representative linked survey and administrative data we find little evidence that the frequency of inquiry-based instruction is positively associated with teenagers' performance in science examinations. This finding is robust to the use of different measures of inquiry, different measures of attainment, across classrooms with varying levels of disciplinary standards and across gender and prior attainment subgroups. [ABSTRACT FROM AUTHOR]