The purpose of this study was to investigate the types of errors grade 10 students make in solving selected trigonometry problems. Another aim was to understand the origins of these errors that Students make when solving trigonometry problems. Another central purpose of the study was to provide instructional recommendations for addressing the…

Developing structure sense is an important part of learning algebra. We investigated learners' structure sense of algebraic expressions involving brackets. This led us to propose the constructs "surface structure" sense and "systemic structure" sense. Using a random sample of 58 Grade 10 learners scoring above 40% in a test, we…

Errors are natural elements of the learning process and provide a high potential to promote students' learning outcomes. In recent years, there has been much research about learning from errors. However, we know little about the relationship between students' error beliefs in chemistry and chemistry learning outcomes at present. Thus, the aim of…

This qualitative study examines the gifted students' self-reflections about the mathematical problems in an elaborated way. The participants of the study were three gifted students in 10th grade and 10 problem solving sessions were carried out with these participants. According to findings, the gifted students did not take into account the…

Troubleshooting activities require students to diagnose teacher-crafted erroneous examples by detecting and explaining the conceptual errors driving them. In a previous study, the author tested whether diagnosing erroneous examples and then scoring them using a rubric that contained the related worked examples, a step-by-step strategy to solve a…

This study examined the relationship between language difficulties and learner's errors in financial mathematics, and it employed a quantitative research approach using a case study design. The population for the study consisted of all grade 10 mathematical literacy (ML) learners from three selected schools in East London District, from which 40…

This article presents an action research study. Its purpose was to determine the extent to which the Reciprocal Teaching model (RT), proposed by Palincscar and Brown (1984), impacts tenth grader's English writing skills. The research work included: (1) A diagnostic stage to determine the participant's initial difficulties in regards to their…

This retrospective case study assessed the influence of item non-response error on subsequent response to questionnaire items assessing adolescent alcohol and marijuana use. Post-hoc analyses were conducted on survey results obtained from 4,371 7th to 12th grade students in Ohio in 2005. A skip pattern design in a conventional questionnaire…

Research studies have shown that students encounter difficulties in transitioning from arithmetic to algebra. Errors made by high school students were analyzed for patterns and their causes. The origins of errors were: intuitive assumptions, failure to understand the syntax of algebra, analogies with other familiar symbol systems such as the…