Despite proficient math skills, students may struggle to make sense of and solve story problems. While educators are encouraged to promote the use of comprehension strategies, students must first understand vocabulary at all levels as they work to make sense of and solve math story problems. Language skills are a prerequisite for schema…

In this cross-national study, we explore the different ways of reasoning-and-proving (RP) presented in three 8th grade textbooks, one from each country: Turkey, Norway, and Slovakia. While the analysis revealed that all three textbooks contain similar numbers of problems involving some form of RP, differences exist in terms of the dominating ways…

The importance of understanding what and how mathematics teachers notice is well documented, but more research is needed on content-specific noticing. In particular, knowing how teachers notice proportional reasoning, a vital topic spanning all grades of mathematics, could inform measures that support students' proportional reasoning. We examined…

This empirical study investigates the impact of structured digital lessons integrated with success criteria-based self-assessment strategies on sixth-grade students' achievement and motivation in mathematics. The study is situated within the context of the United Arab Emirates (UAE), aligning with the "We the UAE 2031" vision that…

Mathematics teacher educators' (MTEs) intimate scholarship is growing in interest and is diversifying research methodologies and products in the mathematics teacher education field. Becoming an MTE involves identifying self as belonging to mathematics teacher education. Although insights about belonging in mathematics teacher education have…

Academic librarians do not engage with all disciplinary departments equally. Despite equal or even greater efforts, some departments are less responsive to librarian outreach. One such department is mathematics. To understand mathematics departments' relationships with their academic librarians, three mathematics librarians created a 20-question…

Background/purpose: The application of learning models is expected to significantly promote the enhancement of students' problem-solving abilities through the development of interactive learning models. This study aims to (1) determine whether the Development of the Component Display Theory (CDT) Model is categorized as valid, practical, and…

Background: Many students face difficulties with algebra. At the same time, it has been observed that fraction understanding predicts achievements in algebra; hence, gaining a better understanding of how algebra understanding builds on fraction understanding is an important goal for research and educational practice. Objectives: However, a wide…

Although experiential learning is widely recognized for its benefits, its implementation in content-focused mathematics courses for prospective teachers remains limited. To address this gap, this paper explores the integration of service-learning into three distinct mathematics courses for prospective teachers, detailing how it was implemented in…

Financial literacy is essential for individuals to navigate the complexities of modern society. In 2021, financial literacy was introduced as a new strand in Ontario's Grade 9 mathematics curriculum, which aims to address educational barriers for historically marginalized groups, such as Black students (Ontario Newsroom, 2021). This article…

There are substantial and ongoing concerns in the international secondary and tertiary education sectors about the number of students choosing advanced or higher-level mathematics at upper secondary level. Declining enrolments in the last two years of secondary school in higher-level mathematics is seen as a major concern for the future of STEM…

A substantial body of research has demonstrated that human and nonhuman animals have perceptually-based abilities to process magnitudes of nonsymbolic ratios (e.g., ratios composed by juxtaposing two-line segments). In prior work, we have extended the neuronal recycling hypothesis to include neurocognitive architectures for nonsymbolic ratio…

Consider the conventional multilevel model Y=C[gamma]+Zu+e where [gamma] represents fixed effects and (u,e) are multivariate normal random effects. The continuous outcomes Y and covariates C are fully observed with a subset Z of C. The parameters are [theta]=([gamma],var(u),var(e)). Dempster, Rubin and Tsutakawa (1981) framed the estimation as a…

We present an innovative educational design for basic arithmetic that responds to students' documented difficulties with adding and subtracting single-digit positive and negative numbers. The design utilizes MOVES, a technological architecture that combines floor- and wall-projected interactive interfaces. Students enact arithmetic operations,…

In recent years, there has been active discussion regarding the potential role of mathematics education research in informing teaching practice. As both a holder of a Ph.D. who continues to publish research in international journals, and a practising secondary school teacher with ten years of classroom experience, I propose in this essay a…