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…

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…

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…

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'…

Purpose: Diagnoses, assessments, and treatments, as well as social and language interventions, can be effective in identifying and interpreting specific linguistic features that present special challenges to the language abilities of individuals who are deaf and hard of hearing (DHH). This article reports on a study analyzing complex sentences and…

This study aims to examine how Chinese learners develop in their use and misuse of English modal verbs from Grade 7 to 9. Specifically, it examines form-function connections and explores the factors behind learners' development. The main focus is on the modal verbs "can," "could," "will," "would,"…

It is well known that learner performance in mathematics in South Africa is poor. However, less is known about what learners actually do and the extent to which this changes as they move through secondary school mathematics. In this study a cohort of 250 learners was tracked from Grade 9 to Grade 11 to investigate changes in their performance on a…

This study investigates how students in England and Shanghai understand linear function. Understanding is defined theoretically in terms of five hierarchical levels: Dependent Relationship; Connecting Representations; Property Noticing; Object Analysis; and Inventising. A pilot study instrument presented a set of problems to both cohorts, showing…

Based on the findings of an error analysis revealing that Indonesian ninth- and tenth-graders had difficulties in solving context-based tasks, we investigated the opportunity-to-learn offered by Indonesian textbooks for solving context-based mathematics tasks and the relation of this opportunity-to-learn to students' difficulties in solving these…

The aim of this study is to identify the mistakes made by ninth grade students in the subject of functions and reveal the reasons for these mistakes. In line with this purpose, the case study method, which is among the qualitative research methods, was used in the study. The study group of the research was composed of 52 Anatolian ninth grade…

Constructive error handling is considered an important factor for individual learning processes. In a quasi-experimental study with Grades 6 to 9 students, we investigate effects on students' attitudes towards errors as learning opportunities in two conditions: an error-tolerant classroom culture, and the first condition along with additional…

The purpose of the study reported herein was to identify the common mistakes made by junior secondary students in Hong Kong when learning algebra and to compare teachers' perceptions of students' ability with the results of an algebra test. An algebra test was developed and administered to a sample of students (aged between 13 and 14 years). From…

The authors examined effects of 3 metacognitive approaches and 1 control group on mathematical reasoning, conceptual errors, and metacognitive knowledge. The metacognitive approaches were (a) diagnosing errors (DIA), (b) improvement via self-questioning (IMP), and (c) a combined approach (DIA+IMP). Controls (CONT) received no metacognitive…