In this paper, we describe an idea for mathematics lectures that involves using digital tools for first-year university students. Materials in the Moodle course include live broadcasts, lecture recordings, Moodle tests, sample solutions and videos. The aim of the paper is to find out from students' feedback which digital tools help them understand…

Teachers are implementing flipped instruction in an increasing number of mathematics classes but the research base is not yet well developed on this topic. Many studies of flipped instruction in mathematics have involved a small number of classes utilizing flipped instruction being compared to classes with non-flipped instruction, but this study…

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),…

A review of related research found the use of recorded lecture videos (RLVs) in undergraduate mathematics to be negatively correlated with academic performance. To investigate this correlation, an initial study found students' regular RLV use to be linked to surface approaches to learning. The present study continued this investigation and was…

The dominant image of mathematics as an abstract, universal, disinterested, and pure body of knowledge both misrepresents disciplinary practice and alienates many students. Undergraduate proof-based courses such as real analysis, which are supposed to introduce students to contemporary academic mathematics, often contribute to such idealized…

Ongoing concern about poor learner performance in mathematics has led to wide-ranging research on the subject, globally and in South Africa. Among the remedies identified is the reformation of pre-service teacher (PST) education programmes in a way that supports the acquisition of professional skills for pre-service teachers. Developing PSTs'…

The use of recorded lecture videos (RLVs) in mathematics instruction continues to advance. Prior research at the post-secondary level has indicated a tendency for RLV use in mathematics to be negatively correlated with academic performance, although it is unclear whether this is because regular users are generally weaker mathematics students…

Research demonstrates that seductive details negatively impact learning from instructional materials such as textbooks and learning modules. Yet, anecdotally, teachers and students consider seductive details an enhancement to classroom lectures. We examined this apparent disconnect by exploring the impact of seductive details in mathematics…

In this action research study, a flipped and non-flipped college-level mathematics classroom were compared. Participants in the flipped classroom watched video lessons outside of class and engaged in classwork problems during class. The non-flipped classroom consisted of a lecture then assigned classwork problems during class. Descriptive…

We apply Carroll's model of school learning, which theorizes about the relationship between time and learning, to motivate the design of a large, first-year, university mathematics course, where students have the choice to attend lectures and/or watch online videos. The theoretical model informs how the course and resources are designed in order…

Despite the increasing popularity of using video-recorded lectures, we still understand little about how different video styles and study strategies during video lectures may affect student learning. In this paper, we present a systematic investigation of video-recorded lectures in the context of secondary school mathematics education. Study 1…

This paper presents a research framework for investigating the role of language use in mathematics learning. The paper draws on the wider M[superscript 2]EID study, which explores whether differences in languages (English and Irish) and their use by bilingual mathematical students have a differential impact on their mathematics meta-level…

In "Maths for Business", a mathematics module for non-mathematics specialists, students are given the choice of completing the module content via short online videos, live lectures or a combination of both. In this study, we identify students' specific usage patterns with both of these resources and discuss their reasons for the…

In this mixed method study we investigate the impact of recorded lectures on passing rates in an online math course. For three years, we collected data from approximately 380 students enrolled in a first-year undergraduate online course, College Algebra. The data was used to compare the amount of time students spent watching recorded lectures and…

While 'flipped' classrooms have been heralded as a valuable tool for student learning, little is known about the process by which students learn from the out-of-class resources. This study investigates 12 undergraduate students' sense-making activities while watching videos about topics in introductory statistics. Analysis of interview data…