In recent years, changes in the Brazilian economic and social scenario have generated a growing demand for higher education in the country. In response to this new context, the federal government launched in 2007 a programme aiming at expansion of the enrolment to public higher education. In such environment of changes, several proposals have…

This paper is based on a large-scale empirical study designed to investigate Calculus I programmes across the United States to better understand the relationship between instructors' concerns about coverage, instructional practices, and the nature of the material covered. We found that there was no association between instructors feeling pressured…

This article gives an elementary proof of the famous identity [image omitted]. Using nothing more than freshman calculus, the present proof is far simpler than many existing ones. This result also leads directly to Euler's and Neville's identities, as well as the identity [image omitted].

In this article, ambiguous street and park signs are analysed and deciphered using symbolic logic. These examples showcase the ways in which instructors of undergraduate mathematics courses can blend their students' everyday exposure to logical reasoning with classroom experiences. (Contains 4 tables and 6 figures.)

An increasing number of Australian students elect not to undertake studies in mathematical methods in the final years of their secondary schooling. Some higher education providers now offer pathways for these students to pursue mathematics studies up to a major specialization within the bachelor of science programme. This article analyses the…

Instructional approaches to vectors in n-space are discussed. (SD)

In a thesis written for the Doctor of Arts in Mathematics, the connection between Euclid's algorithm and continued fractions is developed and extended to n dimensions. Applications to computer sciences are noted. (SD)

Relationships between mathematical and humanistic cultures and the development of mathematical concepts are presented. The author suggests that courses highlighting the history and relevance of mathematics be developed; possible instructional resources are listed. (SD)

A "proof" is given to show that the set of natural numbers is not countable. (DT)

The present mode of computer usage, with its emphasis on numerical problem solving, in typical undergraduate mathematics courses is questioned. The role of the computer in developing an awareness of shape and pattern is emphasized. (DT)

Changes in the concept of function in mathematics is the light of the revolution that has occurred since the beginning of the nineteenth century are reviewed. (MP)

The role of optimization in mathematical, physical, biological, social, and management sciences is examined. A plea is made for giving optimization a central place in the mathematics education of scientists and technologists. (Author/MK)

Reasons are cited for including a course in mathematics for liberal arts majors. Objectives of the course and course content are discussed. (DT)