The debate regarding the effectiveness of educating students with disabilities in inclusive settings versus traditional Special education settings to yield increased levels of achievement has been ongoing in the American education system for decades. This action research study was conducted at a sixth through eighth grade public middle school in…

This observational case study employed a qualitative design to investigate the impact of student-centered instructional coaching and self-determined professional development on student engagement in middle school mathematics. Research demonstrates that engaging students in the learning process increases their attention and motivates them to engage…

Research studies are abundant in pointing at how the transition from additive to multiplicative thinking acts as a core challenge for students' understanding of proportionality. This said, we have yet to understand how this transition can be supported, and there remains significant questions to address about how students experience it. Recent work…

In response to the challenge of geometry's abstract and less engaging nature for students, this study explored the potential of connecting geometry to cultural elements, specifically geometric ornaments found in various cultures worldwide. Geometric ornaments, laden with cultural and spiritual significance, serve as a bridge between mathematics…

Recent literature justifies the use of virtual learning in supporting middle-grades students' mathematical knowledge development and emphasizes the critical role of motivation in learning (Lo & Hew, 2020; Murphy et al., 2020; Spitzer & Musslick, 2021). Intrinsic and extrinsic motivation both play a role in learning for middle-grades…

In this study we aimed to capture the characteristics of Chinese high-quality lessons from a lesson structure perspective, specifically addressing the elements of teaching activity and their sequence. Sixteen videotaped middle school mathematics lessons were selected from 224 daily lessons collected from urban districts in five cities located in…

Though there is an extensive research literature on understanding and assessing individual modeling competencies, less attention has been given to characterizing the social context of the classroom in which modeling occurs. Yet a classroom's culture of modeling--its negotiated system of beliefs and values about the nature of modeling and what…

In this research, the level of acquiring analytical thinking skills in the secondary school mathematics curriculum was examined according to the opinions and experiences of the teachers. The research was carried out by the phenomenology pattern, one of the qualitative research designs. The research was performed with the voluntary participation of…

The design of the flipped classroom (FC) as a pedagogical approach is becoming increasingly prevalent in mathematics education. However, although many studies have been conducted on whether FCs are more effective in improving mathematics achievement compared to traditional lectures, the results are not consistent. To address this issue, this…

There are strong motivations to implement integrated STEAM activities that engage with key ideas in mathematics. In integrating mathematics with other STEM disciplines, however, epistemic tensions can emerge. Rather than attempting to suppress, avoid, or adjudicate these tensions, we propose a strategy of "epistemic rekeying," in which…

Units Coordination and Covariational Reasoning are powerful frameworks for modeling students' mathematics in arithmetic reasoning and construction of relationships between changing quantities, respectively. This case study of an advanced stage 2, 8th-grade algebra student, Daniel, investigated connections between his units coordination and…

This study aimed to compare the math textbooks for 5th-8th grades in Turkey and Singapore in terms of their integration of educational technology. In this regard, the textbooks a) approved by Turkey's Ministry of Education, and b) Singapore's New Syllabus series of math were analyzed via document analysis method. For the analysis, this study drew…

Many teachers use problems set in real or imaginary contexts to make mathematics engaging, but these problems can also be used to anchor conceptual understanding. By constructing an understanding of mathematical ideas through solving problems in contexts that make sense to students, they have a better chance of actually understanding those…

This single-case study investigates the effectiveness of video modeling for teaching the Look, Ask, Pick (LAP) strategy to three seventh-grade students with learning disabilities. The participants watched video segments explaining the technique to solve fraction problems. Results from the intervention revealed substantial performance improvements…

Spirograph® is a classic drawing toy that has intriguing connections with mathematics. Inspired by earlier articles in "Mathematics Teacher" on the classic drawing toy that targeted higher grade levels, the authors adopt and create activities that make Spirograph mathematics accessible to middle-grade learners.