In "Measuring to Improve," Paul G. LeMahieu, Paul Cobb, and contributors introduce educational practitioners, administrators, and policymakers to the foundational elements of practical measurement to support continuous improvement efforts in K-12 schools. They begin by defining practical measurement as data collection and analysis that…

In mathematics education, students are repeatedly confronted with the tasks of interpreting and relating different representations. In particular, switching between equations and diagrams plays a major role in learning mathematical procedures and solving mathematical problems. In this article, we investigate a rather unexplored topic with…

Across the world, standards and practices for preparing teachers of mathematics emphasize the importance of math modeling (MM) in developing students' mathematical thinking. The aim of this research study was to develop the Mathematical Modeling Knowledge Scale (MAMKS), capable of determining preservice teachers' (PSTs') knowledge of MM. The study…

Task-relevant actions can facilitate mathematical thinking, even for complex topics, such as mathematical proof. We investigated whether such cognitive benefits also occur for action predictions. The action-cognition transduction (ACT) model posits a reciprocal relationship between movements and reasoning. Movements--imagined as well as real ones…

Teachers and teacher educators have been sharing strategies and resources for implementing mathematics routines in National Council of Teachers of Mathematics (NCTM) journals for years. A less commonly shared mathematics routine, especially with young learners, is "Clothesline Math" (Shore, 2017, 2018). In this routine, teachers create…

Increasingly, mathematics educators see the importance of representation of diversity in pedagogical texts. The number of identity markers often considered has increased over the previous half century, and now includes, for instance, gender, class, ethnicity, religion, functionality, and sexual orientation. We investigate representation of…

Mathematics education researchers have highlighted that preservice secondary mathematics teachers (PSTs) need opportunities to learn how their content knowledge is contextualized during instruction. Mathematical Knowledge for Teaching (MKT) subdomains provide a way to understand mathematics discipline-specific knowledge that is unique to the…

Research has accumulated on the effects of teachers on student achievement, especially in mathematics. However, empirical evidence regarding the impact of formal teacher competence indicators presents a mixed picture. This study explores the influence of educational level, subject -- and grade-specific specialization, teaching experience, and…

Teachers' knowledge of students' mathematical thinking is a growing area of research in mathematics education. The literature has reported plentiful evidence of the interplays between teachers' mathematical knowledge and their knowledge of students' mathematical thinking. The present study builds on this body of work to explain how such interplays…

The problem addressed through this study is the inconsistent use of mathematics educational technology tools in middle school mathematics courses in the United States. The problem was important to address because inconsistent use of mathematics educational technology tools may impact student performance. The purpose of this basic qualitative study…

To promote computational thinking in mathematics education, Scratch is used to foster students' computational thinking and mathematical understanding. However, students face challenges in block-based programming environments, such as having low motivation, high anxiety, and cognitive loads. This study combined the pedagogical values of Geogebra…

This study examines the impact of constructivist methods on students' performance in mathematical problem-solving, which is a significant issue in contemporary educational research. Traditional teaching methods, which are often oriented towards rote learning and memorization, have limitations in increasing students' performance in solving…

This research focuses on enhancing critical thinking in secondary mathematics education using carefully constructed teaching materials. Utilizing socially open-ended framework, complemented by perspectives from critical mathematics education, the study aims to promote students' critical thinking skills. The developed materials were implemented in…

The expectations gap -- the difference between the level at which high schools prepare students and the preparation colleges expect -- is believed to be accountable for hindering access to, and success in, higher education. It has been largely attributed to misalignment of priorities and lack of communication among policy makers and educators and…

Rate of change (i.e., slope) is a critical mathematics concept for success in everyday life, academics, and professional careers. Students with or at risk of learning disabilities struggle with solving rate-of-change problems, especially word problems. Interventions that incorporate representations and problem-solving strategies are effective for…