This paper presents 'expert opinions' on what should be taught in a first-year linear algebra course at university; the aim is to gain a generic picture and general guiding principles for such a course. Drawing on a Delphi method, 14 university professors--called 'experts' in this study--addressed the following questions: What should be on a…

Most instructors desire to create a learning environment conducive to deep learning. However, in courses where grades are based upon the accumulation of points, students may focus on collecting points rather than on learning and achieving the course objectives. We discuss an alternative points-free course design based on the development of clear…

Beyond Crossroads states that mathematics faculty should (a) select technology that is accessible to students enrolled in their distance learning mathematics course, (b) advise students on the expectations of their distance learning mathematics course and orient them to the distance learning environment of their course, (c) provide students with…

This course guide for calculus offered at the high school level begins with an overview of the course. The overview includes a rationale for including calculus in the high school curriculum, a description and rationale of calculator and computer use in the calculus class, the desired qualifications and characteristics of calculus teachers,…

This paper discusses the author's personal experiences in developing and implementing a problem-based college mathematics course for liberal arts majors. This project was initiated in response to the realization that most students are dependent on "patterning" learning algorithms and have no expectation that self-initiated thinking is a…