This paper describes our work to determine the naturalistic images that first-time second-semester university calculus students possess for series convergence. We found that the students we interviewed most frequently determined whether a series converged by imagining a process of appending summands into a running total and examining whether this…

Using data from teaching experiments and theories from quantitative reasoning, we built second-order accounts of students' mathematics with regards to how they conceived rate of change through operating on existing quantities. In this report, we explain three different ways STEM undergraduates structurally conceive rate of change as they…

This study enquires into the embodied processes of children in solving multiplication tasks, considering how such processes can expand access to spatial reasoning skills and simultaneously develop students' understanding of multiplication. The analysis focused on four Year 2 students as they completed two embodied tasks. The aim was to understand…

Promoting problem-solving in students is an important aim of secondary science education. There is a mismatch, however, between the complex, ill-structured nature of realistic scientific problems, versus the well-structured problems students are generally confronted with. The current study investigates a teaching-learning strategy that resolves…

This article revisits and expands upon a previous phenomenographic study characterising the qualitatively different ways in which South African undergraduate physics students may experience the use of +/- signs in one-dimensional kinematics (1DK). We find the original categorisation as applicable for interpreting Swedish university-level students'…

Monte Carlo (MC) simulation is widely used in many different disciplines in order to analyze problems that involve uncertainty. Simulation decomposition has recently provided a simple, but powerful, advancement to the standard Monte Carlo approach. Its value for better informing decision making has been previously shown in the investment-analysis…

Logistic regression is one of the most fundamental tools in predictive analytics. Graduate business analytics students are often familiarized with implementation of logistic regression using Python, R, SPSS, or other software packages. However, an understanding of the underlying maximum likelihood model and the mechanics of estimation are often…

Introductory calculus-based mechanics ("Physics 1") is an important gateway course for students desiring to pursue a science, technology, engineering, and mathematics (STEM) career. A major challenge with this course is the large spread in the students' incoming physics preparation. This level of preparation is strongly predictive of a…

The literature describes different stances concerning the focus on how mathematics should be taught, with some preferring a conceptual knowledge approach and others a procedural knowledge approach. The current study investigated the relationship between students' conceptual and procedural knowledge in a calculus context. To better understand the…

The purpose of this study was to examine how pre-service mathematics teachers (PMTs) integrated a dynamic geometry environment (DGE) into their reasoning process while solving geometric locus problems. Task-based interviews based on the locus problems were conducted with eight PMTs working in pairs. The PMTs could use a computer with access to…

An essential task for mathematics teachers is posing problems. Selecting mathematics problems that develop mathematical proficiency and engage students in desirable mathematical practices is a critical decision-making process. We present the Framework for Posing Elementary Mathematics Problems (F-PosE) developed to focus prospective teacher…

Innovation in the design of curricula is widely discussed. Innovative curricula expose students to a diverse range of learning environments and prompt them to ask questions, stimulating their creativity and allowing them to develop a sense of initiative and to hone their problem-solving skills and ability to apply knowledge to practice. The…

Contribution: In this article, an experience applying three role-playing games in the context of an Entrepreneurship final project is presented, discussing the challenges, and the lessons learned. Background: Soft skills have been expounded repeatedly as a crucial factor to thrive in the workplace, as opposed to mere knowledge of content only,…

The purpose of this article is to explore why work-experienced students with up to 20 years of experience may not change their perception of professional practice when subsequently participating in practice-based learning programmes in higher education. We investigated the role of the degree of codification as operationalisation in how students…

The goal of the study is to overcome two main drawbacks of traditional science, technology, engineering, and math (STEM) pedagogical strategies using PBL - lack of student engagement and students who are not prepared for more complex problems. PBL teaching strategies practiced in an introductory class are assessed. Classroom observations and…