The aim of this research was to investigate high achievers' erroneous answers and misconceptions on the angle concept. The participants consisted of 233 grade 6 students drawn from eight classes in two well-established elementary schools of Trabzon, Turkey. All participants were considered to be current achievers in mathematics, graded 4 or 5 out of 5, and selected via a purposive sampling method. Data were collected through six questions reflecting the learning competencies set out in the grade 6 curriculum in Turkey and the findings of previous studies that aimed to identify students' misconceptions of the angle concept. This questionnaire was then applied over a 40 minute period in each class. The findings were analyzed by two researchers whose inter-rater agreement was computed as 0.97, or almost perfect. Thereafter, coding discrepancies were resolved, and consensus was established. We found that although the participants in this study were high achievers, they still held several misconceptions on the angle concept such as recognizing a straight angle or a right angle in different orientations. We also show how some of these misconceptions could have arisen due to the definitions or representations used in the textbook, and offer suggestions concerning their content in the future.
This narrative systematic review examined relationships between school attainment, socio‐economic status and gender in the United Kingdom from 2000 to 2012. The influence of socio‐economic status was considered at the individual and school level, while gender was examined at the individual level. To ensure consistency among included studies, the Programme for International Student Assessment (PISA) was selected as the attainment measure. Following screening and the application of inclusion/exclusion criteria, 23 studies were included in this review. The most common measures of socio‐economic status were parental occupation, parental education and individual/school mean of economic, social and cultural status. This review found that individual and school level factors of socio‐economic status were consistent in the magnitude and direction of their influence over time. Gender was also a statistically significant indicator of attainment. However, variation was evident in the effects of gender according to the PISA cycle, UK country and subject. This review also provided a critical discussion on the quality of included studies, questioning study reliability owing to variation in reporting sample sizes, data manipulation and summary statistics. The review concluded greater consistency in reporting PISA results, especially descriptive and summary statistics would improve comparability of studies within and between PISA cycles, transparency of methodological approaches and the overall reliability of studies.
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