Linear algebra is one of the first abstract mathematics courses that students encounter at university. Research shows that many students find the dense presentation of definitions, theorems and proofs difficult to comprehend. Using a case study approach, we report on a teaching intervention based on Tall's three worlds (embodied, symbolic and…

Finding ways to enhance introductory students' understanding of probability ideas and theory is a goal of many first-year probability courses. In this article, we explore the potential of a prototype tool for Markov processes using dynamic visualizations to develop in students a deeper understanding of the equilibrium and hitting times…

This paper describes the development of a concept inventory, a test designed to investigate undergraduate students' understanding of the concept of function. A central purpose was to address "conceptual" understanding. We outline a set of elements of the understanding of function, based on key properties of the function concept, which…

We tested a model that integrates academic delay of gratification with Expectancy Value Theory to predict achievement in an undergraduate psychology and nursing statistics class at a metropolitan university in the southeastern United States. We analyzed measurements (n = 163: 80.4% female) of past performance, academic delay of gratification,…

Online courses are growing in higher education, resulting from an increased access to information and communication technologies. While such courses allow time and/or space flexibility for both students and instructors, they also promote active learning and require more autonomy from the students. In this paper, we present the main design features…

In this paper, we tell a story of iterative design and continual improvement of an asynchronous technological resource, pencasts, to support development of students' modeling skills while studying at home. Our students were typically engineering majors, enrolled in differential equations as a prerequisite for their subsequent engineering courses.…

According to the views of social constructivism, learning takes place when individuals engage socially to talk about and act on shared problems or interests. In recent years, this approach has been very popular for the teaching and learning of mathematics in primary and secondary education. On the contrary, in tertiary education, it seems that…

The following analysis provides evidence from the comparative levels of anxiety towards mathematics of the variables from the categories presented by the AMARS and sociodemographic variables as well. A sample of 381 economics students in Mexico answered the survey. For data analysis, descriptive statistics (x, Sd.) was carried out and to identify…

The need to improve student success in community colleges has resulted in a growing interest in developmental mathematics. Yet there remains a need to understand the motivations and beliefs of developmental mathematics students in order to cultivate their success. Self-efficacy has been identified to be a predictor of student success. Little is…

Learning analytic models are built upon traces students leave in technology-enhanced learning platforms as the digital footprints of their learning processes. Learning analytics uses these traces of learning engagement to predict performance and provide learning feedback to students and teachers when these predictions signal the risk of failing a…

This study looks at the various verbal and non-verbal representations used in a process of modelling the number of annual plants over time. Analysis focuses on how various representations such as words, diagrams, letters and mathematical equations evolve in the mathematization process of the modelling context. Our results show that (1) visual…

We have adapted our two laboratories at our department based on our research results, which were presented at the conference CADGME 2014 in Halle and published in the journal. In this article we describe the hardware and software structure of the Laboratory 1: LabIT4KT-1: Laboratory of Computer Modelling and the Laboratory 2: LabIT4KT-2:…

Males continue to dominate mathematics-related areas in graduate school and employment, possibly due to the differential guidance that they receive as students. In the present study, 180 undergraduates completed an online survey on the career and graduate school guidance they received from mathematics professors. Student sex, professor sex, and…

This study examines the impact of a "natural experiment" that gave students the choice to place into or out of developmental math because of an unintended mistake made by a community college. During self-placement, more students chose to enroll in gateway college- and transfer-level math courses, however, greater proportions of female,…

This article is based on the limited lecture model for Kapita Selekta Mathematics (KSM) courses. This article aims to reveal the results of technology validation of the website of the mathematics proficiency course (KSM) on UIN Suska Riau students. This article uses a development research model that uses Sugiyono's research steps but only limited…