High school principals can change the status quo of the current iniquitous disparities in the education system between South Carolina's rural high schools and their more populated and affluent suburban schools. Using a non-standard structure and the resources in their control, these school leaders can find solutions so schools can offer rural…

When it comes to Black youth, narratives about educational outcome gaps are often deficit-focused and incomplete, reifying notions of immovable racial inequities rather than uplifting evidence of students excelling when afforded the opportunities they deserve. There is a need to access data that tells a fuller and more nuanced story of students'…

In this paper, we develop a general but very simple mathematical foundation for the predefined coefficient graphical method of Hückel molecular orbital theory (HMO). We first present the general solution for the recurrence relation of the coefficients of Hückel molecular orbitals (MOs). Subsequently, for all the three unbranched hydrocarbons,…

Research has shown that the use of practical examples in undergraduate education promotes the retention of historically underrepresented students in STEM majors and lowers achievement gaps within courses. Since many students of color and women aspire toward careers in healthcare and the pharmaceutical industry, efforts to incorporate medicinal…

We examined the perceived adequacy and effectiveness of BIO 0475, Advanced Human Dissection, in preparing undergraduate students for the transition into gross anatomy (or equivalent) during their first year of professional school. A 16-item, electronic survey was distributed to course graduates (n=18) that evaluated (1) the importance of BIO 0475…

The purpose of this quasi-experimental, quantitative study was to determine if there was a difference in student growth, in students in grades seven and eight in reading and math, based on their placement in advanced or general education courses. This study was conducted in a diverse, suburban junior high school which served four different…

This study examines the role of self-concept regarding mathematical ability in explaining the gender gap in advanced mathematics performance of US high school students. The study is based on data generated from the Third International Mathematics and Science Study (TIMSS 1995-2015), a large-scale project which investigated the relationship between…

Background/Context: Access to rigorous courses in high school is essential for college success (ACT, 2005), but low-income students and students of color take fewer demanding courses than their white and Asian counterparts (Cowan Pitre, 2014; Theokas & Saaris, 2013). The issue of inequitable access to more advanced courses requires a deeper…

Differential equations are widely used tools for modelling the world around us, making a course in differential equations a natural place for students to connect concrete mathematical applications to abstract concepts. Since students grasp the concepts better by applying them, introducing differential equations through modelling becomes essential.…

There is a need for a continued focus on language learning in advanced language classes beyond the foundations that are formed in the beginning and intermediate levels. Despite this need, little work exists on how to implement language-focused instruction in upper-level courses. As one possible solution, this paper outlines a functional,…

Education plays a very important role in improving the quality of human resources. In higher education, students need learning that is innovative and not monotonous so that learning goals can be achieved. In this research, what will be discussed further is the development of learning methods by combining 2 methods, namely Cooperative Based…

To understand students' perspectives on high school GPA, in September 2023, ACT reached out to a random sample of high school students via an online survey. The survey questions centered on students' perceptions of how well high school GPA represents content mastery, whether it is fair to use high school GPA as a benchmark in college admissions,…

This study investigates the impact of artificial intelligence (AI) tools on the academic performance of university students with insufficient mathematical preparation enrolled in higher mathematics courses. Utilizing a quasi-experimental design with pre- and post-testing, the research explores the effectiveness of AI-based platforms such as…

The Klein bottle and hairy ball theorem are important concepts in advanced mathematics and they are both examples of the Poincaré-Hopf theorem. Complex theories such as these usually remain unrealized in the minds of mathematicians. In this collaborative work between a mathematician and a designer, we introduce the concept of the hairy Klein…

Textbooks on Dynamical Systems Theory usually present only three types of codimension-one bifurcations occurring in autonomous first-order nonlinear differential equations. These three types are called saddle-node, transcritical, and pitchfork. However, the number of bifurcations is virtually infinite. In this didactic work, the bifurcation…