This research investigates errors and misconceptions among learners in algebraic education by utilizing Koch's error analysis method alongside the Structure of the Observed Learning Outcome (SOLO) taxonomy. The primary aim of the investigation is to discern the kinds of errors and cognitive stages demonstrated by Grade 9 students when engaged in…

Despite statistics learning becoming more important during this information explosion era, many students still deem the subject complex and challenging. Measures of dispersion, a critical component of statistical knowledge that students often struggle with, have received little attention in research on statistics education. The goal of this study…

This study investigated cognitive patterns of strengths and weaknesses (PSW) and their relationship to patterns of math errors on the Kaufman Test of Educational Achievement (KTEA-3). Participants, ages 5 to 18, were selected from the KTEA-3 standardization sample if they met one of two PSW profiles: high crystallized ability (Gc) paired with low…

This study investigated the relationship between specific cognitive patterns of strengths and weaknesses and the errors children make on oral language, reading, writing, spelling, and math subtests from the Kaufman Test of Educational Achievement-Third Edition (KTEA-3). Participants with scores from the KTEA-3 and either the Wechsler Intelligence…

Little empirical data are available concerning the cognitive abilities of gifted individuals in general and especially those who excel in mathematics. We examined visual processing abilities distinguishing between general giftedness (G) and excellence in mathematics (EM). The research population consisted of 190 students from four groups of 10th-…

In the Cognitively Based Assessment of, for, and as Learning ("CBAL"™) research initiative, innovative K-12 prototype tests based on cognitive competency models are developed. This report presents the statistical results of the 2 CBAL Grade 8 writing tests and 2 Grade 7 reading tests administered to students in 20 states in spring 2011.…

The aim of this study was to test whether negative cognitive errors (overgeneralizing, catastrophizing, selective abstraction, and personalizing) mediate the moderator effect of non-verbal cognitive ability on the association between adverse life events (life stress) and emotional and behavioral problems in adolescence. The sample consisted of 430…