In calculus courses, instructors often use the end-of-section problems in a textbook in homework assignments or other course assessments. As a result, these problems influence the teaching and learning of calculus. In this study, we examine the levels of cognitive demand of these problems in a mainstream calculus textbook and classify them within…

The Math Immersion intervention was designed to aid the transition-to-proof phase of the undergraduate mathematics major. The Immersion was co-taught by two instructors, one for Intro to Proofs and Abstract Algebra and another for Probability and Statistics and Linear Algebra. This case study documented that efficiency gains directly attributable…

Middle school students with learning disabilities often struggle with reading and literacy skills, including vocabulary, and require support in content-area classes such as mathematics where weak vocabulary knowledge can negatively affect learning, achievement, and deep understanding. However, in general, middle school mathematics teachers do not…

As the number of multilingual learners (MLLs) in US schools continues to grow, educators need to learn the moves necessary to support the success of these students in mathematics and science. "Equity Moves to Support Multilingual Learners in Mathematics and Science, Grades K-8" focuses on the literacy opportunities that MLLs can achieve…

In 2019, RAND Corporation asked teachers which digital programs they used. This dissertation study expanded on this research by exploring the features contained in these programs. The purpose of this study was to investigate the relationships between teachers' access to features and school, teacher, and feature characteristics. This study had two…

The main purpose of this qualitative study was to investigate the challenges faced in teaching, learning, and technology in online geometry classes. The perspectives of online geometry students and teachers provided insights into the effectiveness of online geometry learning. A qualitative descriptive design was used to gain insights into the…

Providing ample opportunities for students to express their thinking is pivotal to their learning of mathematical concepts. We introduce the Talk Meter, which provides in-the-moment automated feedback on student-teacher talk ratios. We conduct a randomized controlled trial on a virtual math tutoring platform (n=742 tutors) to evaluate the…

The problem explored in this study addresses the disparity in math achievement outcomes for African American and Latinx students at Oak Hills Elementary School (pseudonym). Leading educational scholars have charged educational researchers to rethink how they discuss and examine achievement and invited them to frame achievement discourse through…

Large numbers of students entering community colleges are deemed not academically prepared for college-level math. These students have historically been assigned to one or more non-credit-bearing courses for remedial, often called developmental, math instruction before they can take college-level courses. Research has found that most students…

We analyze here the online and face-to-face teaching of mathematics and statistics at the university level and compare the results of students from two courses of applied mathematics. We examine the influence of online teaching on the performance of students with the help of grades from five consecutive years. A questionnaire on satisfaction with…

This study was undertaken given the need to develop mathematics modular instruction that integrates Sama students' culture with Science, Technology, Engineering, and Mathematics (STEM) amidst the COVID-19 pandemic. It sought to find whether students exposed to EthnoSTEM-Based Mathematics Instruction (EMI) have significantly better mathematical…

Whole-class discussion of open mathematics tasks is an instructional practice K-12 mathematics educators report has the potential to engage all learners. Because this practice has not been extensively and systematically researched, this study aims to describe and analyze the engagement and experience of learners in open mathematics tasks. Drawing…

This study investigated the effect of teaching rehearsals on 22 preservice secondary mathematics teachers (PSMTs) who were in their first mathematics pedagogy course. The objective of the teaching rehearsal was to introduce PSMTs to student-centered teaching. PSMTs worked in groups to complete a learning cycle consisting of analyzing a mathematics…

We investigate the beliefs that influence middle and high school algebra teachers' appraisals of contextual problems having diverse mathematical and pedagogical features. We asked six teachers to analyze six contextual algebra tasks and indicate how they would apportion instructional time among the six tasks based on their structure, pedagogical…

Student focusing and noticing, which drive reasoning, are important but under researched aspects of student learning. Quadratic functions representations are perceptually and conceptually complex and thus, offer much for students to focus on and notice. Our study compared a teacher's goals for student focusing and noticing during quadratic…