We use the Survey of Thermodynamic Processes and First and Second Laws-Long (STPFaSL-Long), a research-based survey instrument with 78 items at the level of introductory physics, to investigate introductory and advanced students' difficulties with entropy and the second law of thermodynamics. We present an analysis of data from 12 different…

In traditional advanced mathematics lectures the instructor usually provides definitions, theorems, and proofs on the board rather quickly. The students often cannot make sense of these during the lecture as they are busy writing. In order to gain an understanding of the content, an intensive post-class processing on the basis of their notes would…

In three studies, college student participants read a description of ambiguous (i.e., neither explicitly positive nor explicitly negative) academic feedback from a faculty member. Evaluations of the ambiguous feedback were compared across participants' gender identities and levels of social and intellectual belonging in their academic majors and…

Contribution: This article describes how a peer learning strategy called student-led tutorials (SLTs) can improve student performance in an electromagnetism course (EM). This study provides empirical evidence on how promoting student active participation in collaborative problem-solving activities improves performance rates. Background: In 2019,…

Racialized tracking is central to sociological explanations for racially stratified educational outcomes. However, school officials' decision-making is of debated importance for explaining racialized tracking. We contribute to this literature by examining the effects of schools' enrollment policies for Advanced Placement (AP) courses. Using a…

This paper reports on themes that arose in an investigation of university lecturers' views on the teaching of linear algebra. This focus on themes was the initial part of a study concentrating on four areas: What is important to teach in a first course in linear algebra? Are there teaching methods which are particularly suited for such a course?…

The high school grade point average (GPA) is often adjusted to account for nominal indicators of course rigor, such as "honors" or "advanced placement." Adjusted GPAs--also known as weighted GPAs--are frequently used for computing students' rank in class and in the college admission process. Despite the high stakes attached to…

While calculus remains the gold standard of academic rigor in most college admissions offices, educators and employers increasingly champion advanced statistics as critical for navigating today's data-driven workforce. So which math pathway actually shapes long-term success? To find out, we asked UT Austin Associate Professor Matt Giani, graduate…

An inequality concept has an important role; even in advanced mathematics, inequality assists in analysis and proof. However, students' understanding of inequality is not satisfying. The fact shows that students experience difficulties and errors in solving inequality problems. These difficulties and errors are not intentional or do not result…

From 2012 to 2019, the proportion of undergraduate economics degrees denoted as "Econometrics and Quantitative Economics" (STEM-eligible) conferred annually increased from 1 percent to 22 percent. The authors present results from a survey of the 73 institutions conferring at least one STEM-eligible economics degree in 2017 or 2018. They…

This paper reports the findings of a study that investigated why a large number of test-takers show a low performance in four language skills (listening, speaking, reading, and writing) offered in an entry test used by a College of Technology in Oman to place students in advanced diploma and bachelor's degree programs. The main research question…

Vector calculus and multivariable coordinate systems play a large role in the understanding and calculation of much of the physics in upper-division electricity and magnetism. Differential vector elements represent one key mathematical piece of students' use of vector calculus. In an effort to examine students' understanding of non-Cartesian…

The Multiple-choice (MC) item format is commonly used in educational assessments due to its economy and effectiveness across a variety of content domains. However, numerous studies have examined the quality of MC items in high-stakes and higher-education assessments and found many flawed items, especially in terms of distractors. These faulty…

In 2012 mathematics was assigned a special status within the Irish post-primary school curriculum with the introduction of a bonus points initiative (BPI). Students are now awarded additional credit in their upper post-primary school state examination results if they achieve a passing grade in mathematics at higher level. This extra credit will…

Rural schools face particular challenges with teacher quality. The Northeast Tennessee College and Career Ready Consortium was a collaborative reform effort among rural schools with a key goal of improving the quality of instruction in math and science to support its efforts to expand academically rigorous courses. This study examines progress…