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…

In their efforts to meet academic standards, students often rely on supplementary resources such as private tutoring. This study investigates the relationship between private tutoring and academic performance in mathematics and science among primary school students in the Gulf States. Using data from the 2019 Trends in International Mathematics…

This paper introduces a framework of two key shifts--epistemological and authority--to conceptualise the challenges mathematics teachers face when moving from classroom teaching to professional development (PD) facilitation. I argue that while teaching and facilitation may appear similar, critical differences in how knowledge is constructed and…

Background: First-year engineering mathematics courses present a critical academic challenge, often leading to a significant decline in student self-efficacy, a key predictor of retention and success. While flipped learning is a proposed solution, a lack of longitudinal research using robust comparison groups has limited our understanding of its…

Usually, it is assumed that the printing revolution initiated in Europe by Gutenberg from 1445 was implemented directly and smoothly for the production of mathematics textbooks. This paper undertakes to investigate this process more closely, showing it to form the precondition for ensuing curricular developments. The characteristics of the first…

This paper examines Grade 10 students' conceptions of proof in a secondary school in Singapore. Using a purposive survey of 9 mathematical items, proofs by 8 students for two items, one on Number and Algebra and another on Geometry and Trigonometry, were coded using Harel's proof schemes. The findings show that the students' proofs for the two…

This research presents a meta-analysis of studies examining the relationship between recreational physical activity and children's performance in STEM (Science, Technology, Engineering, and Mathematics) subjects, with a specific focus on math and science. While previous research has established a positive correlation between physical activity and…

Although the Ghanaian mathematics curriculum emphasizes critical thinking as a core competence, students still appear to lack this skill. In this mixed-method study, the Structure of the Observed Learning Outcome (SOLO) taxonomy was used to assess senior high school students' thinking levels in permutation and combination. A sample of 256 males…

Background/purpose. This study aims to examine the effects of integrated board game development and cooperative learning on pre-service mathematics teachers' mathematical reasoning, conceptual understanding, creativity, and teamwork skills in Thailand. Materials/methods. Using a mixed-methods approach within the PAOR…

The study and analysis of enzymatic reactions are essential for characterizing various biological systems. As part of these procedures, it is important to understand how to quantify the biological activity of these proteins in terms of enzymatic activity. This work proposes a general equation for determining enzymatic activity based on…

The integration of cultural heritage into mathematics learning remains underexplored, particularly in the context of Indonesian traditional arts. Existing mathematics curricula often overlook the potential of local cultural artifacts to contextualize abstract mathematical concepts. This study addresses this gap by investigating the mathematical…

There is robust evidence for a causal association between spatial thinking and mathematics achievement. However, most research has been lab-based, with spatial training delivered by researchers. We present a teacher delivered, whole-class 6-week spatial training study that involved professional development for practitioners coupled with…

Many matchstick puzzles have multiple solutions and are ideal learning tasks for fostering and improving creative thinking. Nevertheless, many puzzle book authors exhibit a strange approach toward these multiple-solution puzzles. For some puzzles, the number of solutions is mentioned after puzzle formulation and these solutions are published in…