This article makes a case for introducing moving averages into introductory statistics courses and contemporary modeling/data-based courses in college algebra and precalculus. The authors examine a variety of aspects of moving averages and draw parallels between them and similar topics in calculus, differential equations, and linear algebra. The…

In this edition's Discovery, the problem of interpreting the term "mean" is discussed with examples of the different kinds of mean. Mathematics teachers should therefore use the term "arithmetic mean" when introducing measures of central tendency in statistics. Some various definitions of the term "average" and sports…

Facial first impressions are known to influence how we behave towards others. As a result of the COVID-19 pandemic, we often view incomplete faces due to the commonplace wearing of face masks. Previous research has shown that perceptions of attractiveness are often increased due to these coverings, with initial evidence suggesting that this may be…

Texas A&M University-Commerce has implemented supplemental instruction (SI) for Calculus since the fall of 2013. A direct display of the ABC rates from fall 2005 to spring 2021 only presents fluctuation from semester to semester, and one can hardly deduce that the ABC rates are increasing. In this paper, the "moving average"…

In order to better understand the potential influence of high school students' grades on how they rate their teachers and schools, we explored the relationship between student grade point average and student ratings of teacher and school effectiveness in 370 classes taught by 230 instructors with over 6,000 students in grades 9-12 in an…

Back random responding (BRR) behavior is one of the commonly observed careless response behaviors. Accurately detecting BRR behavior can improve test validities. Yu and Cheng (2019) showed that the change point analysis (CPA) procedure based on weighted residual (CPA-WR) performed well in detecting BRR. Compared with the CPA procedure, the…

Meta-analytic models for dependent effect sizes have grown increasingly sophisticated over the last few decades, which has created challenges for a priori power calculations. We introduce power approximations for tests of average effect sizes based upon several common approaches for handling dependent effect sizes. In a Monte Carlo simulation, we…

Traditionally, a college grade point average (GPA) of 2.00 or higher has signified that a student has made acceptable academic progress and avoided academic probation. However, having a 3.00 or higher has signified a level of success that is often required for admission to graduate school, maintaining a scholarship or enrollment in an honors…

We juxtapose (positive and negative) compositional effects of school-average achievement and school-average socioeconomic status (SES) on students' academic self-concept (ASC), final high-school grade-point-average (GPA), and long-term outcomes at age 26 (educational attainment and educational and occupational expectations). We used doubly-latent…

There has been a decline in interest in attending graduate school after the completion of a bachelor's degree. With increased student loan debt after graduating with an undergraduate degree, students are looking for a more practical and less costly way to maximize income without the significant expense of returning to school. Universities are now…

A procedure for evaluating the average R-squared index for a given set of observed variables in an exploratory factor analysis model is discussed. The method can be used as an effective aid in the process of model choice with respect to the number of factors underlying the interrelationships among studied measures. The approach is developed within…

Implementation of AB 705 in fall 2019 required California community colleges to use high school grade point average (HSGPA) as the main measure of placement and maximize the likelihood of students being placed into transfer-level English and math courses. Since that time, research has shown that with the vast increase in access to transfer-level…

I show that there are better measures of student college performance than grade point average (GPA) by undertaking a fine-grained empirical investigation of grading within a large public university. The value of using GPA as a measure of comparative performance is undermined by academically weaker students taking courses where the grading is more…

This dissertation exams the use of a weighted 5.0-scale high school grade point average (HS GPA), the South Carolina Uniform Grading Policy Grade Point Average (SC UGP GPA), as the basis for a Multiple Measures placement system in English unique to Florence-Darlington Technical College (FDTC). FDTC's service area lies in the so-called…

Thousands of U.S. school districts and many international schools use MAP® Growth™ to monitor the academic growth of their students and to inform instruction. The MAP Growth assessment is untimed, meaning that limits are not placed on how much time a student has to respond to the items. However, to help schools understand the amount of time MAP…