This study aims to investigate the thinking process of primary school students when solving mathematical problems. It used a qualitative case study approach. The researcher administered a metacognitive test to 30 fifth-grade students in Yogyakarta and selected three focal participants based on their performance in planning, monitoring, and…

Understanding and accepting that many students feel alienated from the subject of mathematics supports the use of specialized approaches. This article details how one specific mathematical modeling task integrated principles of Universal Design for Learning (UDL) to create an environment where even reluctant students felt like they belonged. The…

Socioeconomic status (SES) influences school success. Students with lower SES may face challenges that this study aims to address through instructional scaffolding. To be effective, such support needs to consider students' individual strengths and weaknesses. In this study, 321 sixth-grade students used an e-textbook about fractions. They were…

Understanding how non-numerical visual features systematically distort numerosity perception holds promise for unveiling the processes that give rise to our visual number sense. Recent studies show that increasing visual coherence systematically increases perceived numerosity, with this effect strengthening over development (DeWind et al., 2020;…

Mathematical problem-solving places heavy demands on children's developing working memory capacity. This review examines how offloading numerical information using embodied (e.g. finger counting) or external tools (e.g. manipulatives) can reduce cognitive load and improve mathematical task performance. Strategic offloading emerges in childhood;…

The Australian Curriculum suggests that students have transitioned from additive to multiplicative thinking upon entry into secondary school. However, research shows that many students are thinking additively, placing them at a disadvantage to their multiplicative thinking peers. In this paper, early findings from a broader research project…

Students in Timor-Leste face low educational outcomes due to sociopolitical factors rooted in the nation's colonial history. This study evaluates the academic impact of a low-resource afterschool supplementary tutoring program designed to address learning gaps and improve school outcomes across rural and urban settings. Using instructional design…

Fragmenting plays a pivotal role in facilitating the transition to learn different topics of fractions such as unit fractions. This paper contributes to the body of knowledge by presenting an updated fragmenting framework, informed by empirical findings derived from an investigation into the fragmenting schemes exhibited by first and second grade…

Preservice teachers (PSTs) enter teacher education programs with years of experience as students in the classroom (Lortie, Schoolteacher: A sociological study, University of Chicago, Chicago, 1975). Teacher educators aim to understand PSTs' unique experiences and support their learning of pedagogy within and across various contexts, including…

The complexity of mathematics teaching is especially evident in lessons where teachers build on students' genuine ideas, such as problem-based lessons. To enhance teachers' capacity for rich discussions in problem-based instruction, we have developed a unique approximation of practice: digital asynchronous simulations where teachers make…

This study aims to examine how students' performance in constructing and transforming representations during the proving of calculus rules unfolds in a computer-supported collaborative learning (CSCL) environment, within the context of rationality. The CSCL environment was designed by integrating the ACODESA method and dynamic mathematics software…

While students were constructing the concept of rates of change, linear relationships, and nonlinear relationships in a first-year algebra class, the wanted to build a task that allowed them to increase their understanding of covariation, that is, how two variables change in relation to each other. Research has shown that students who have built…

Teachers' questions shape the instructional environment and the direction of mathematics discussions in critical ways. This article is the product of a research study on the relationship between teachers' questions and student engagement in the Standards for Mathematical Practice (SMP) during whole-class discussions. Using classroom video gathered…

A growing body of research has shown that symbolic number processing relates to individual differences in mathematics. However, it remains unclear which mechanisms of symbolic number processing are crucial--accessing underlying magnitude representation of symbols (i.e., symbol-magnitude associations), processing relative order of symbols (i.e.,…

We used a matched samples design to compare outcomes of students enrolled in a traditional model of developmental mathematics education with a similar group of students coenrolled in developmental and college-level math courses. Drawn from students enrolled in a pilot program at nine community colleges in a Southeastern state, we compared 208…