In this survey paper, we describe the state of the field on linear algebra research. We synthesize themes, questions, results, and perspectives emphasized in the papers that appear in this issue, as well as a selection of those published between 2008 and 2017. We highlight the extensive base of empirical research detailing how students reason…

The aim of this paper is on the one hand to discuss from an APOS (Action-Process-Object-Schema) theory perspective the mental constructions involved in the learning of linear algebra, through examples concerning the linear transformation concept and related notions. On the other hand, methodological issues related to the design of research…

In this study, the author examined student attempts to translate a verbal problem into an algebraic statement relating two variables, after they had solved an arithmetic question from the same problem. A total of 645 students from New England (U.S.A.) answered the problem on a mathematics assessment administered at the beginning of the school…

This Data Point uses data from the High School Longitudinal Study of 2009 (HSLS:09), a nationally representative, longitudinal study of more than 23,000 ninth-graders in 2009, to examine the association between the timing of Algebra I coursetaking and enrollment in postsecondary education. HSLS:09 cohort members were asked when they last took…

"Wheel spinning" is the phenomenon in which a student fails to master a Knowledge Component (KC), despite significant practice. Ideally, an intelligent tutoring system would detect this phenomenon early, so that the system or a teacher could try alternative instructional strategies. Prior work has put forward several criteria for wheel…

This report uses Spring 2022 data from nationally representative surveys of principals and math teachers in kindergarten through grade 12 (K-12) to explore students' opportunities to prepare for and take advanced math. The authors found that small high schools, high schools in rural areas, and high schools that predominantly serve students from…

In recent years, diversity, equity, and inclusion (DEI) have gained increasing importance in the field of physics. Despite efforts to enhance DEI, physics still faces numerous challenges in this area. This dissertation is divided into three main chapters, aiming to investigate the significance of learning-related emotions and physics identity as…

Math performance became an increasing concern in the United States after the launch of Sputnik in 1957. This concern began with attempts to prescribe mathematical standards in the United States to improve student mathematics preparation. When the COVID pandemic began in 2020, policies on quarantining and remote learning were implemented, resulting…

Due to the low success of traditional, postsecondary remediation mathematics, The Maryland Mathematics Reform Initiative First in the World Grant (MMRI-FITW) sought to develop and implement a statistics pathway in 2- and 4-year institutions as an alternative to traditional algebra-based math, to accelerate developmental mathematics students'…

The Forty Fifth Annual meeting of the North American chapter of the International Group for the Psychology of Mathematics Education was held PME-NA 45 in Reno, Nevada, October 1-4, 2023. The conference theme is "Engaging All Learners." Math learning should be a joyful experience for all students. When students are engaged and inspired,…

Is it possible to identify instructional practices that have an impact on student learning in mathematics? The study described here is part of ongoing efforts to understand and characterize effective instruction. We drew on the work of several recently developed frameworks for understanding teaching effectiveness to develop a protocol for studying…

COVID-19 contributed to the largest student performance decline in mathematics since 1990. The nation needs cost-effective mathematic interventions to address this drop and improve students' mathematics performance. This study presents a cost-effectiveness analysis (CEA) of three algebraic technological applications, across four conditions:…

Two groups of mathematics faculty, one from a four-year college and one from a two-year college, redesigned their respective introductory college mathematics courses following presentation of observational data regarding how faculty had been teaching the courses. This presentation emphasised how infrequently faculty teaching introductory college…

This quantitative study investigated the relationship between ESOL co-teacher content certification and student achievement in secondary classrooms. The sample consisted of English Learners (ELs; N = 185) in a suburban district in Georgia. The study focused on three core content subjects: Algebra, Biology, and Economics. Content certification was…

Service-learning provides a versatile pedagogical platform that can improve the academic performance of participating students and open space for a discussion of issues of social justice within a mathematics classroom. We describe our Precalculus course with a service-learning component, in which university students regularly tutor algebra…