In the boxplot, the box always represents -- regardless of its area -- the middle half of the data and thus a measure of variability (interquartile range). However, when students first learn about boxplots, they are usual already familiar with other forms of statistical representations (e.g., bar or circle graphs) in which a larger area represents…

This paper analyses learners' common errors in simplifying algebraic problems. 102 Grade 10 learners from three rural schools in South Africa participated in the study. Following a quantitative approach, content analysis of learners' responses to algebraic tests revealed that while learners commit several errors in algebraic problems, encoding and…

Handwriting difficulties may signal dysgraphia or other writing difficulties that can affect literacy performance. Existing instruments measure different handwriting features to identify students for interventions but can take extra testing time and restrict potential indicators appropriate for evaluating adolescents. This exploratory study aimed…

Background: Although it is well established that students' adaptive reactions towards errors promote learning outcomes, little is still known about the role of error feedback in promoting these reactions. Aim: Through a targeted intervention based on an online teaching unit, this study aimed at testing whether supportive error feedback promotes…

Although absolute value is of interest to mathematics teaching researchers, since many students face problems with it, there does not seem to be an integrated record of students' errors. The present study attempts to conduct a systematic review to identify and categorize errors and misconceptions of secondary school students aged 12-18 concerning…

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…

Rational numbers, such as fractions and decimals, are harder to understand than natural numbers. Moreover, individuals struggle with fractions more than with decimals. The present study sought to disentangle the extent to which two potential sources of difficulty affect secondary-school students' numerical magnitude understanding: number type…

Subject (e.g., math) problems often have deep rationales and concepts underlying them. Accordingly, when students solve these problems, they are prone to making errors that expose their misunderstandings and are difficult to correct. Previous research has shown the benefits of teacher feedback in learning from errors, but the effectiveness of…

The Coventry Grid (CG) seeks to address clinicians' concerns over the misdiagnosis of autistic spectrum conditions (ASC) and attachment problems (AP). While literature exists exploring the clinical benefits of the CG, and recent modifications have included the Pathological Demand Avoidance (PDA) profile, its potential in the educational context…

Introduction: Writing in braille and utilizing writing skills are challenging for students with visual impairments. These students may encounter specific challenges and make errors in their braille writing. This research aims to examine errors in braille writing made by eighth-grade students with visual impairments. Methods: This study employed a…

We analyse the PISA-reported convergence in the performance of private and public schools in Portugal. When PISA sampling weights are used, the number of students enrolled in those types of schools and specific grades/tracks of study differs significantly from official population figures. To account for those differences, we apply a…

This qualitative case study, grounded within the interpretive paradigm, analyzed the errors and misconceptions made by 11th-grade learners when tackling the tangent-chord theorem task in Euclidean geometry. Studying Euclidean geometry helps learners develop critical thinking skills, such as constructing arguments and applying logical reasoning.…

Two problems, both from Gaspar Nicolas' "Tratado da Prática d'Arismética", published in 1519 are considered in this study. The tasks were carried out using pencil, paper and students from Portuguese schools. The aim was to explore the following students' performances: 1. The students were able to recognize the "error",…

The authors developed an instructional nudges as part of a larger research project. These instructional nudges are designed to be small but powerful changes to teachers' existing practices. Some instructional nudges focus on modifying tasks used in classrooms. In this article, the authors share Rate and Review. The goal of Rate and Review is to…

Background: Students make many errors in visual programming. In order to learn from these, it is important that students regulate their emotions and view errors as learning opportunities. Aims: This study aimed to explore to what extent momentary emotions, specifically enjoyment, anxiety and boredom, as well as the error learning orientation of…