Research suggests that troubleshooting activities that require students to reflect on teacher-crafted erroneous examples; i.e., erroneous solutions to problems that correspond to widespread naïve ideas, are beneficial to learning. One possible explanation to these beneficial effects is that troubleshooting activities encourage students to test the…

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…

Algebra is an important branch of mathematics which applies to many fields related to mathematics. However, many studies show algebra as posing problems even to the most gifted students. This phenomenon, therefore, necessitates more studies to be conducted in this area. As such, the study explored the types of errors that Grade 8 learners…

South African learners' performance in mathematics, both locally and internationally, has raised significant concerns, particularly in the realm of algebra. To address this issue, a mixed-methods study was conducted to explore the effectiveness of using algebra tiles to teach algebraic expressions. The study aimed to investigate algebraic…

Purpose: It is crucial for teachers to understand what students already know and what they are thinking, before conducting their lessons, because identification of the cause is the first step of remedy. This study analyses students' conceptions that underlie the errors they make in algebraic expressions under two categories of conceptual…

We report on an innovative design of algorithmic analysis that supports automatic online assessment of students' exploration of geometry propositions in a dynamic geometry environment. We hypothesized that difficulties with and misuse of terms or logic in conjectures are rooted in the early exploration stages of inquiry. We developed a generic…

Constructing formal geometry proofs in is an important topic in the mathematics curriculum. But students' difficulties with proof are well documented. This article focuses on proofs that use triangle congruence postulates in US high school geometry. Examining students' proof reasoning in one-on-one task-based interviews, we analyzed students' oral…

The current study investigated the associations among trait perfectionism, worry about mistakes, mistake rumination, L2 anxiety, and willingness to communicate in adolescents. A key element was examining the psychometric properties of a new measure of worry about mistakes as well as the Mistake Rumination Scale and the short Child-Adolescent…

This study explores using transfer learning in machine learning for natural language processing (NLP) to create generic automated essay scoring (AES) models, providing instant online scoring for statewide writing assessments in K-12 education. The goal is to develop an instant online scorer that is generalizable to any prompt, addressing the…

This study explores what young Danish learners found anxiety-provoking or difficult in their English as a foreign language (EFL) classes. Participants (n = 32) were early and later starters (ages 8 years vs. 10 years) at two primary schools where children were not assessed in English. The qualitative inquiry aimed to examine what differences…

This study explored the effects of visual status and braille reading patterns on the reading accuracy of students with visual impairments in China. The sample consisted of 121 students aged 10-19 years: 48 were students with congenital visual impairments, 25 were students with adventitious visual impairments, and 48 were sighted students. Students…

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…

Spelling words accurately is not an easy process. Instead, it is a complex developmental skill. Due to this fact, several studies have recently investigated learners' spelling ability and how this skill develops in different stages. The main purpose of this study is to examine the developmental nature of Saudi intermediate school students'…

The aim of this study is to examine the mistakes made by students in the use of logical connectives while simplifying algebraic equations and inequalities, and the extent to which teachers are aware of these mistakes and how they assess them. The study was conducted among 50 ninth grade students and 63 practicing teachers of mathematics. The data…

Once a novelty, Digitally-Based Assessments (DBA) have become commonplace in the USA. With mathematics, it is often a necessity to include items that require the student to input a mathematical formula, equation, or expression. Many of these responses, especially in the upper grades, cannot be input with a standard keyboard, but must use some type…