In an online asynchronous vector calculus course, we observed exam answers solved with a formula from online homework instead of the formula from lecture. Our exploratory study investigated (1) why students learned from homework instead of lecture for this topic and (2) their epistemological frames (e-frames) for lecture and homework. Per (1),…

Despite the introduction of Common Core State Standards and the National Council of Teachers of Mathematics urging educators to explore fundamental concepts in mathematics at a deeper level, the majority of mathematics education has remained aimed at initial skill acquisition. The result has led to students learning to mimic a standard set of…

Representation is widely viewed as central to mathematical problem solving, while online scaffolding is considered helpful in supporting learners' progress from actual to potential developmental levels of mathematics understanding. Therefore, this study investigated the effectiveness of employing online single vs. multiple representational…

Mathematical resilience is a student's ability to survive and be positive when facing difficulties and anxiety in learning mathematics as indicated by the ability to work collaboratively with groups, and have language skills to communicate mathematical understanding. Learning mathematics online caused various negative conditions for students;…

This study investigated an international, inter-university and multidisciplinary online course with the aim of helping higher education students develop competencies for solving complex problems in collaboration with their peers and stakeholders. The course design was informed by the knowledge creation framework and ideas about cross-boundary…

In Intelligent Tutoring Systems (ITS), methods to choose the next exercise for a student are inspired from generic recommender systems, used, for instance, in online shopping or multimedia recommendation. As such, collaborative filtering, especially matrix factorization, is often included as a part of recommendation algorithms in ITS. One notable…

This article used a questionnaire survey for the college students on learning and teaching in epidemic situation. The result of the study shows that there were existing superficial understanding on Online learning, insufficient theoretical guidance for online teaching innovation and teaching support services still lag behind expectations. Based on…

The purpose of this study was to gain insight into how employing Case-based (CB) and Non-case-based (NCB) discussions facilitate high-level learning, and whether or not there is a relationship between students' learning outcomes. Findings revealed that students' perceived cognitive presence, learning and satisfaction were significantly higher in…

The purpose of this study was to investigate the types of problem-solving behaviors and their effects on solution quality in an online collaborative learning context. A total of 12 preservice teachers enrolled in a computer education course participated in the study. Students in pairs, randomly assigned by the instructor, carried out a…

Similar content has tremendous utility in classroom and online learning environments. For example, similar content can be used to combat cheating, track students' learning over time, and model students' latent knowledge. These different use cases for similar content all rely on different notions of similarity, which make it difficult to determine…

COVID-19, the most severe global pandemic since the Spanish flu that followed World War I, threatens nearly every country, from global powers to developing nations. This threat presents a concurrent challenge for educational systems. With schools closed during the pandemic, students and teachers have had to stay at home worldwide. This shift has…

There is growing demand for online learning activities that offer flexibility for students to study anywhere, anytime, as online students fit study around work and family commitments. We designed a series of online activities and evaluated how, where, and with what devices students used the activities, as well as their levels of engagement and…

There are many choices for learning mathematics for engineering students with courses available in face-to-face, blended and fully online modalities. Students are demanding more flexibility in their programs, however the temptation to misuse this flexibility to avoid mathematical studies until it is too late can be an unfortunate side effect. A…

This Teaching-Research article contains a Pre and Post observation of class discourse from two instructors applying constructivist principles in their classroom to support student insight and shared construction of knowledge before and after the COVID-19 pandemic necessitated on-line learning. One goal of this article is to present the…

This study investigated the characteristics of deep and surface approaches to learning in online students' responses to instructor's qualitative feedback given to a multi-stage, ill-structured design project. Further, the study examined the relationships between approaches to learning and two learner characteristics: epistemic beliefs (EB) and…