A solid foundation in mathematics is beneficial not only for individuals' concurrent and later academic achievement, but also for future career success and financial stability. Rational number knowledge plays a pivotal role in mathematical success, yet it is often regarded as a challenging area to grasp comprehensively. The dissertation aims to…

In this paper, I report on doctoral research in which I investigated the relationships between student approaches to learning, conceptions of mathematics, mathematical self-efficacy, personal factors and examination results. Using seventy-three post-secondary mathematics students, some pertinent findings were: self-belief in selection processes…

Learning from complex instructional materials typically requires sustained attention, but many learners--both children and adults--may find their minds "wandering" when learning. Drama educators have argued that "mirroring" exercises, where students in pairs or groups mirror each other's movements, improve attention; but, to…

The limit concept plays a foundational role in calculus, appearing in the definitions of the two main ideas of introductory calculus, derivatives and integrals. Previous research has focused on three stages of students' development of limit ideas: the premathematical stage, the introductory calculus stage, and the transition from introductory…

Starting from difficulties that students display when they deal with correlation analysis, an e-learning environment ("Koralle") was developed. The design was inspired by principles of situated and example-based learning. In order to facilitate reflective processes and thus enhance learning outcomes, reflection prompts were integrated into the…

The purpose of this study was to investigate a multi-faceted women's calculus course designed to retain women in advanced mathematics courses. With this research, we wanted to find out, first, in what ways students were influenced by participation in the course and, second, in what ways these influences affected their mathematics learning or…