Statistical thinking partially depends upon an iterative process by which essential features of a problem setting are identified and mapped onto an abstract model or archetype, and then translated back into the context of the original problem setting (Wild and Pfannkuch, Int Stat Rev 67(3):223-248, 1999). Assessment in introductory statistics…

Contemporary scholars describe mathematical modeling as a transformation of a real-world problem to a mathematical problem and back again. This paper treats a critical issue in the modeling process: how modelers determine if the transformation from the real world to mathematics was carried out well. I present an empirically derived typology of…

Background: Implementing research-based teaching practices has been repeatedly cited as an important factor for student success in university mathematics courses. Many research-based practices increase the amount of student-student and/or student-instructor interaction. However, some instructors are hesitant to implement such practices because…

The widespread of online education is clear and the demand for online education is increasing rapidly, so the quality of offered online courses is urging. During COVID-19 restrictions, unprepared institutions, instructors, and students for online education were clear, especially in STEM. So there is a need for more research on online mathematics…

The pedagogical discussion between the merits of traditional learning versus online learning provides much discussion from both camps. Following the Coronavirus of 2019 pandemic in the spring of 2020, undergraduate students enrolled in the freshman Single Variable Calculus course at the United States Military Academy at West Point were forced to…

Efforts to improve learning outcomes in undergraduate mathematics are backed by calls for instructors to move away from persistent pedagogical norms, such as traditional "chalk-talk lectures" and timed closed-book exams. Although the movement towards active learning pedagogies and alternative assessments is gaining ground, uptake has…

This participatory action research (PAR) study examines the challenges and barriers experienced by African American male students enrolled in select trade programs at Wilson Community College, how those challenges and barriers impact the success rates of these students in gateway English and math courses required for their program, and what type…

Most any students can explain the meaning of "a[superscript b]", for "a" [element-of] [set of real numbers] and for "b" [element-of] [set of integers]. And some students may be able to explain the meaning of "(a + bi)[superscript c]," for "a, b" [element-of] [set of real numbers] and for…

To practice physical therapy, physical therapist assistants (PTAs) must graduate from an accredited program and pass the National Physical Therapy Examination (NPTE). There is a lack of evidence exploring the relationships between admission processes in PTA programs with no pre-requisites. The first purpose of this study was to determine whether…

Purpose: This study aimed to explore students' higher-order thinking skills development when they engaged in pattern blocks learning activities using Blended Learning Classroom teaching approaches through the Thailand Lesson Study Incorporated Open Approach model. Design/methodology/approach: The researchers utilized a multiple case research…

As soon as a new technology emerges, the education community explores its affordances and the possibilities to apply it in education. In this article, we analyze sessions with ChatGPT around topics in basic linear algebra. We reflect on the affordances and changes between two versions of ChatGPT since its worldwide publication in our area of…

The Mathematics Department at Cornell University has recently secured a grant from the University to implement systemic change in how we teach courses that reach students at critical transition points in their mathematical development. In this article, we report on the changes made to our large multi-section first-semester calculus course in order…

We recorded the percentage of students voting on each option on every clicker question used in 19 introductory statistics classes. To identify the questions that provide the most useful feedback, we looked for those for which the percentage of students voting correctly varied the most from class to class, producing the largest standard deviations.…

The study examines the impact of APOS theory on students' achievement in Elementary Linear Algebra (ELA) in accordance with their adequate prior knowledge (APK) and inadequate prior knowledge (IAPK). The mixed methods were used to determine the problem-solving test in ELA. Data were obtained from 65 industrial engineering students at Andalas…

Despite shifting to emergency remote teaching, a teacher's role and responsibility was to keep teaching their course to the same high academic standards as before COVID-19 upended our community. Meeting this challenge, without being able to use many well-established teaching practices, was also an unwanted opportunity to learn and experiment with…