Purpose: The purpose of this paper is to predict academic outcome in math and math-related subjects using learning approaches and demographic factors. Design/Methodology/Approach: ASSIST was used as the instrumentation to measure learning approaches. The study was conducted in the International University of Vietnam with 616 participants. An…

Access to advanced study in mathematics, in general, and to calculus, in particular, depends in part on the conceptual architecture of these knowledge domains. In this paper, we outline an alternative conceptual architecture for elementary calculus. Our general strategy is to separate basic concepts from the particular advanced techniques used in…

This paper reports on a study about how the mathematics textbook was perceived and used by the teacher in the context of a calculus part of a basic mathematics course for first-year engineering students. The focus was on the teacher's choices and the use of definitions, examples and exercises in a sequence of lectures introducing the derivative…

This study describes the trends in course credit attainment (CCA) of high school students in required and non-required science and math courses and trends in registration in non-required science and math courses in Texas between 1997 and 2009. Using Texas Public Education Information Management System data between 1997 and 2009, it presents…

The purpose of this exploratory, mixed-methods study was to compare student performance in flipped and non-flipped sections of Calculus I. The study also examined students' perceptions of the flipping pedagogy. Students in the flipped courses reported spending, on average, an additional 1-2 hours per week outside of class on course content.…

It remains difficult to foster problem-solving and mathematical-reasoning capabilities in classrooms where students and teachers are accustomed to the more traditional forms of education. Several studies suggest that this difficulty might be related to the kind of knowledge students acquire in such environments, which could be fragmented and…

This study focuses on mathematics teachers' professional development through elements of Japanese lesson study. The teachers designed a research lesson with regard to sense-making of the derivative using the integration of GeoGebra. In the second year of the four-year lesson study project, seven secondary school teachers--from different Dutch…

Technology is causing educators to rethink the entire notion of classroom learning, not only with respect to what learning should take place but also where it should take place. One such innovation is flipped instruction, broadly defined by Staker and Horn (2012) as an instructional model in which students learn partly through online delivery and…

In a recent issue of "Australian Senior Mathematics Journal" there has been published an interesting article by Galbraith and Lockwood (2010). In that article the problem of finding the most favorable points for a shot at goal in Australian football is considered from different points of view. A similar problem was considered by…

The purpose of this paper is to present results of a recent study in which students voted on multiple choice questions in mathematics courses of varying levels. Students used clickers to select the best answer among the choices given; in addition, they were also asked whether they were confident in their answer. In this paper we analyze data…

Much of what is taught, especially in college, is designed to support other disciplines. To determine the current mathematical needs of twenty-three partner disciplines, the Mathematical Association of America (MAA) conducted the Curriculum Foundations Project (Ganter and Barker 2004; Ganter and Haver 2011), as discussed in the appendix…

The Precalculus Mega Section project was developed with the main purpose of improving the overall performance of the student body in Precalculus, an important gatekeeper course that affects student engagement and completion, with typical drop/failure rates of over 50 percent. Strategies such as integration of technology and additional practice…

In this paper, we describe students' concept images of average and average rate of change and the similarities and differences between those concept images. We do so by describing the students' ways of thinking and ways of understanding average and average rate of change, and how the students' meanings for average influenced their conceptions of…

Significant attention has been given to how students become grouped or "tracked" through the courses they share in common. However, this work has yet to be connected to a targeted analysis of the way in which courses are grouped with other courses through the students they co-enroll. Drawing on insights from field theory, the author…

Not only are the problems teachers pose throughout their teaching of great importance but also the ways in which they use those problems make this a critical component of teaching. A problem-posing episode includes the problem setup, the statement of the problem, and the follow-up questions. Analysis of problem-posing episodes of precalculus…