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),…

We discuss an implementation of the research-based Pathways precalculus curriculum in a large-lecture format supported by recitations, clickers, and online homework. We describe our approach to adapting the implementation of Pathways precalculus from a small class to a large lecture instructional format. We report data on student learning and…

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…

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…

August 2016 there was a call (Braun, Bremser, Duval, Lockwood & White, 2017) for post-secondary instructors to use active learning in their classrooms. Once such example of active learning is what is called the "flipped" classroom. This paper presents the need for, and the methodology of the flipped classroom, results of…

We describe a case study of a problem-solving section, using the "Harkness" discussion method, of an honors multivariable calculus course. Students in the problem-solving section had equivalent outcomes on exams, reported higher ratings in self-assessments of skills, and took more math classes in the following year, compared with…

The Chinese government has implemented centralised science curriculum standards to change science teaching from a didactic to inquiry-based approach to support all students in acquiring science literacy. Framed through theoretical perspectives of inquiry-based instruction and cultural pedagogy, this study examined the influence and impact of these…

Students' learning experiences in an introductory statistics course for non-math majors are compared between two different instructional approaches under controlled conditions. Two sections of the course (n = 52) are taught using a flipped classroom approach and one section (n = 30) is taught using a traditional lecture approach. All sections are…

This study aims to investigate the effectiveness of the Emporium instructional method in a course of college algebra and trigonometry by comparing to the traditional lecture method. The math emporium method is a nontraditional instructional method of learning math that has been implemented at several universities with much success and has been…