Understanding the magnitudes represented by numerals is a core component of early mathematical development and is often assessed by accuracy in situating numerals and fractions on a number line. Performance on these measures is consistently related to performance in other mathematics domains, but the strength of these relations may be…

For middle-school math students, interactive question-answering (QA) with tutors is an effective way to learn. The flexibility and emergent capabilities of generative large language models (LLMs) has led to a surge of interest in automating portions of the tutoring process--including interactive QA to support conceptual discussion of mathematical…

While the lion's share of mathematics education research in linear algebra has been concerned with the conceptual aspects of students' learning, this study focuses on procedural knowledge that undergraduates can develop in a typical first-year course. The study analyzes the methods that a large cohort of second-semester students applied in a final…

Linear algebra is best done with block matrices. As evidence in support of this thesis, we present numerous examples suitable for classroom presentation.

Algebra has been identified as a gatekeeper to careers in STEM, but little research exists on how algebra appears for practitioners in the workplace. Surveys and interviews were conducted with 77 STEM practitioners from a variety of fields, examining how they reported using algebraic functions in their work. Survey and interview reports suggest…

An increasing number of university faculty have become interested in alternative grading systems in recent years. While there is a growing body of research on such grading systems, implementation can be a challenge for instructors. Mastery-based testing is a grading system in which students learn from feedback and have multiple attempts to…

This study explores the potential of the large language model GPT-4 as an automated tool for qualitative data analysis by educational researchers, exploring which techniques are most successful for different types of constructs. Specifically, we assess three different prompt engineering strategies -- Zero-shot, Few-shot, and Fewshot with…

We conducted two studies to investigate the extent to which brief, spaced, mastery practice on skills relevant to introductory physics affects student performance. The first study investigated the effect of practice of "specific" physics skills, each one relevant to only one or a few items on the course exam. This study employed a…

This study examined the relationship of learner profiles and the satisfaction of basic psychological needs among 109 undergraduate physics students participating in an online algebra training program. The study utilized latent profile analysis to identify groups of learner profiles and explored the role of students' perceived needs satisfaction in…

This qualitative study aims to investigate the mediation strategies employed by teachers who participated in a professional development (PD) course, focusing on the teaching of Grade 9 linear equations. Within the context of the PD course, teachers engaged with various pedagogical approaches for teaching linear equations and other secondary school…

This study examined students' growth in algebra readiness progress-monitoring measures for a group of U.S. middle school students with math learning difficulties within the context of Project STAIR, a federally funded initiative supporting teachers' use of data-based individualization. Participating teachers received professional development and…

While there is consensus that taking advanced coursework in high school is strongly related to subsequent academic outcomes, well-qualified Students of Color are less likely than White students to take advanced high school courses. K12 schools have sought strategies to encourage more qualified Black and Hispanic students to take advanced courses…

This study examined the effect of using computer simulation on students' interest in algebra. A quasi-experimental design was employed. A sample of fifty-four students (age range: 12-14 years old) drawn from two schools constituted the subjects for the study. Two JSS 2 classes in each school were assigned through balloting to experimental and…

This study evaluates the effectiveness of inquiry-oriented instruction in introductory linear algebra classes by comparing the performance of students who learned introductory linear algebra concepts in inquiry-oriented settings (TIMES students) with the students who attended other linear algebra classes (Non-TIMES students). We used the…

Updating mastery of mathematics scholarly knowledge is vital for mathematics teachers' professional development in Indonesia. External transposition refers to the transposition of mathematics scholarly knowledge to the school curriculum. During the COVID-19 pandemic, online learning becomes the primary strategy for strengthening the external…