GeoGebra, a dynamic mathematics software, was used to study high school students' perceptions and achievements in learning trigonometric ratios. The study addresses a critical gap in the literature concerning the use of GeoGebra for understanding trigonometric concepts, particularly in fostering conceptual clarity and problem-solving skills.…

Almost 70% of college students in California are required to take at least one remedial education course in mathematics or English, and of those students, only 40% continue to succeed in their educational goals of transfer or receiving a degree ("Student Success Scorecard," n.d.). Corequisite support remediation is an alternative to…

During the COVID-19 pandemic, schools in the United States and across the world were forced into rethinking their teaching approaches for the 2020-2021 school year. In the US, the hyflex model was adopted by many schools to serve the needs of both students in person and online simultaneously. Within this new challenge is the ongoing issue of lack…

Mathematics courses should prepare students to use mathematics in a range of contexts, including science. However, students often struggle in applying mathematics in physics courses, even when they understand the mathematical content (Rebello et al., 2007). Often the root of this struggle is attributed to the "student" or the…

The gap between skilled workers needed and skilled workers available increased since the start of the fourth industrial revolution. Employees now need different knowledge, skills, and abilities to enter the workforce and stay current with new technologies than they did in the past. One way this knowledge gap and skilled worker shortage could be…

This case study offers a recounting and analysis of the experiences of one urban educator, in a public high school mathematics classroom setting, working to integrate critical mathematics curricula and pedagogy with youth and in collaboration with a community organization. This project helps to unveil complexities that teachers may experience when…

Review of the history of trigonometry content and pedagogy indicates the necessity and importance of trigonometry in the school curriculum (e.g., van Brummelen, 2009; van Sickel, 2011). For example, understanding trigonometric functions is a requirement for understanding some other areas of science, such as Newtonian physics, architecture,…

Over the past three decades, researchers have found cooperative learning to have positive effects on student achievement in various subject areas and levels in education. However, there are limited studies on the impact of cooperative learning on student achievement in the area of high school mathematics. This study examined the impact of…

Computer and information technologies have brought revolutions to many aspects of our lives. Online learning is one of the new learning methods that have emerged with the development of new technologies. Even though the advantages of online learning are very attractive to students and educators, when they are applied in real educational settings,…

This case study investigated students' conceptual knowledge of limits in calculus by implementing semi-structured interviews. The constructivist learning principles of Piaget and Inhelder as well as theories of understanding by Skemp guided the study. In Phase I, a pilot study was conducted with 15 students from a Calculus III class. By using…

This dissertation reports the results of a qualitative research project that aimed to develop a research-based perspective on the purpose of trigonometry in the modern sciences. The investigation was guided by three objectives. First, the study sought to identify the purpose of trigonometry as described by educators and high school textbooks.…

Topics in trigonometry have not been well-studied, especially with college-level students. Thus, despite providing a venue for important concepts such as notions of proof and algebraic skill, the process of verifying trigonometric identities, or VTI, has not been thoroughly explored. This study attempts to remedy this gap in the literature by…

Science and engineering instructors often observe that students have difficulty using or applying prerequisite mathematics knowledge in their courses. This qualitative project uses a case-study method to investigate the instruction in a trigonometry course and a physics course based on a different methodology and set of assumptions about student…

This study explores the relationship between specific advanced mathematics courses and college readiness (as determined by ACT score). The ACT organization has found a consistent relationship between taking a minimum core number of mathematics courses and higher ACT scores (mathematics and composite) (ACT, Inc., 2012c). However, the extent to…

Over the last few decades school accountability for student performance has become an issue at the forefront of education. The federal No Child Left Behind Act of 2001 (NCLB) and various regulations by individual states have set standards for student performance at both the district and individual public and charter school levels, and certain…