Mathematical representation is one of the skills that students need to master because it can help them in various problem-solving tasks. This research is a literature review of articles related to mathematical representation in mathematics education. The articles are those published in journals indexed by Scopus from 2020 to 2024. The results of…

Mathematical problem posing, generally defined as the process of interpreting given situations and formulating meaningful mathematical problems, is academically important, and thus several interventions have been used to enhance this competence among students and teachers. Yet little is known about the interventions' various components and their…

This systematic review and meta-analysis appraised and synthesized mathematics interventions research addressing rational number concepts for students with mathematics difficulties (MD) in Grades 3-9. Included studies (n = 28) meet the What Works Clearinghouse Group Design standards (Version 4.0) for study quality. Across all studies, we found…

Including students with autism spectrum disorders (ASD) in general education is a common practice today. However, there are relatively few mathematics interventions for students with ASD in secondary education. There is also a lack of literature exploring mathematics interventions that reflect grade-level academic requirements and are adapted for…

In this article, the authors describe critical issues related to the pursuit of rigorous and innovative research in the fields of mathematics and science education. The paper is framed to help researchers consider aspects of both their research project and their research proposal. The authors describe features of high-quality and fundable research…

Cluster Randomized Trial (CRT) designs are inherently multilevel and reflect the hierarchical structure of schools and the wider education system. To capture this multilevel nature, CRTs are commonly analysed using multilevel (or hierarchical) linear models. It is fairly common for CRT designs and analyses to include school and individual/pupil…

Even in the resource-rich, more ideal conditions of many design-based classroom interventions, unexpected events can lead to disappointing results in student learning. However, if later iterations in a design research study are more successful, the previous failures can provide opportunities for comparisons to reveal subtle differences in…

Corequisite remediation involves placing students who have been designated as underprepared directly into college-level courses with concurrent supports--such as in-class tutoring, online learning labs, or a supplemental class--rather than making them take non-credit-bearing developmental courses first. There are multiple corequisite course…

Designing, developing, and implementing a multi-year randomized control trial targeting what works in gifted education mathematics study is challenging, at best. In response to the United States Department of Education's Institute of Education Sciences request for proposal, we carefully constructed a mixed-methods study by assembling a diverse…

Identifying mathematical interventions that practitioners can implement to improve the mathematical problem solving (PS) of students is a need for the field. Literature on the PS performance of students with disabilities has grown; recently, schema instruction (SI) has been suggested as an evidence-based practice. The purpose of this study was to…

Ratio and proportional relationships, along with the interrelated topics of fractions,decimals, and percent, provide a critical foundation for algebra (National Mathematics Advisory Panel, 2008). Proportional reasoning, which not only requires understanding the concept of ratios and that two or more ratios are equal, also requires the ability to…

This article is intended to assist teachers and researchers in designing studies that examine the efficacy of a particular intervention or strategy with students with sensory disabilities. Ten research designs that can establish causal inference (the ability to attribute any effects to the intervention) with and without randomization are discussed.

As part of my PgCert in Higher Education Practice, I undertook a learning and teaching research project into the effect of small group mathematics tutorials on student confidence and academic performance. I chose this project because it related directly to my practice as a higher education lecturer: I regularly supported first year animal science…

Word problems are prevalent on high-stakes assessments, and success on word problems has implications for grade promotion and graduation. Unfortunately, English Language Learners (ELLs) continue to perform significantly below their native English-speaking peers on mathematics assessments featuring word problems. Little is known about the…

Manipulatives are widely considered an effective practice and have been recommended as an evidence-based practice for students identified with a learning disability when used within the concrete--representational--abstract instructional framework. The aim of the current study was to evaluate single-case experimental designs that implemented a…