This study explores calculus students' opportunities to learn the concepts of integral by examining one mathematician's videotaped lessons and the textbook. The results show that both lessons and textbook introduced important cognitive resources very briefly and focused on procedures and techniques of integration. Implications to these results…

There has been considerable research into how children solve single-digit addition problems for more than a century now, which has brought about significant changes to the ways teachers' support children to retrieve single-digit addition facts. In this project, we examine what makes an addition problem difficult to retrieve in light of…

Mathematics is often taught by lecturing students on how to perform procedures, but it could be taught in ways that promote active student engagement and develop deep conceptual understanding. Research supports the latter approach as better for students' retention, engagement, and success with learning mathematics. An important time to influence…

This quantitative study assessed the impact of performance-based pay on student achievement in English Language Arts (ELA) and mathematics. Performance-based pay is rooted in the belief that teachers will exert greater effort to enhance student outcomes when their efforts are incentivized. While traditional salary schedules are widely used, their…

This study aims to examine whether a maths-unrelated reading intervention can improve children's mathematical performance and to compare the effects of maths-related and maths-unrelated reading interventions. Furthermore, this study examines whether the effects of reading interventions are moderated by individual differences, including gender,…

Textbooks play a vital role in the Nepali education system since they are one of the main resources for teaching and learning mathematics. Because of poor physical infrastructure and inadequate educational resources, both teachers and students heavily rely on textbooks. In this regard, this study investigated the mathematics textbook authors'…

This study investigated children's knowledge of the addition of fractions with unlike denominators. It focussed on the strategies used by children to add fractions with unlike denominators. A cross-sectional survey of Grade 8 children in schools in two districts in Ghana was used. A test on the addition of fractions with unlike denominators was…

Equitable and accessible classrooms should engage all learners with mathematics content in meaningful ways. However, practicing teachers need support from professional development (PD) to learn to teach with this ambitious vision. Informed by sociocultural theory, we employed an evaluative case study methodology to describe, explain, and assess…

This study addresses the need to better describe instructional strategies used by middle grades mathematics teachers. After coding 177 videos of grades 6-8 mathematics instruction for indications of effective instructional practices, we further analyzed 8 of the highly scored videos with specific attention to teachers' implementation of strategies…

In this study, I present how eight U.S. college calculus instructors with different patterns of inquiry practices used instructional situations to frame instructional tasks for introducing derivatives graphically to students. During four interviews, the instructors proposed up to eight tasks for introducing derivatives physically, graphically,…

Understanding how students reason with logical implication is essential for supporting students' construction of increasingly powerful ways of reasoning in proofs-based mathematics courses. We report on the results of an NSF-funded case study with a mathematics major enrolled in an introductory proofs course. We investigate the epistemological…

Following a 3-study format, this multi-methods dissertation investigates three prominent issues surrounding inclusive approaches to faculty development, instructional approaches, and student learning in the community college. The first study employs text mining techniques to examine how centers for teaching and learning at community colleges…

This study aimed to identify the perceptions of differentiated mathematics instruction among educators in an inner-city tutoring program. The researcher conducted this study in a private tutoring program that works with a Title 1, struggling school in a large metropolitan city. Qualitative research methods were applied to identify perceptions…

The purpose of this action research study was to develop and implement common formative assessments for mathematics teachers to inform instructional practices. To address the purpose of this action research study, the following research questions guided this study: 1. How can the district instructional leadership team support professional learning…

The typical collegiate introductory statistics course poses significant challenges for students. Many do not fully comprehend key course skills, and it is common for students to exit the class with a neutral or negative attitude toward statistics. To measure the impact of using relevant contextual examples as an instructional strategy during a…