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…

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,"…

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…

Within the Response-to-Intervention framework, students who fail to profit from high-quality general education instruction, accommodations, and supplemental instruction progress to a more intensive intervention program, sometimes referred to as "Tier III." This article describes a problem-solving approach to designing such intensive, data-based,…

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…