When a professional engineer solves a mathematical problem using technology, he/she generally uses a single one-step "high-level" command of a readily available computer package to obtain the solution immediately. This should not happen during his/her learning cursus. In an engineering mathematics course, the educator should decompose the solution…

Recently we were presented with an interesting twist to the sliding ladder problem viewed in the related rates section of most calculus textbooks. Our problem concerning a sliding ladder that eventually hits the ground. At first, those attempting this problem fell into the calculus trap using only related rates. Previous work for this problem…

School nurses used computers in the 1980s, the Internet in the 1990s, and are embracing handheld computers in the first decade of the 21st century to improve their practice. The purpose of this article is to provide information about handheld computers and software applications that school nurses can use in day-to-day, emergency, and disaster…

This paper discusses experience with alternative assessment strategies for an introductory course in dynamical systems, where the use of computer algebra and calculus is fully integrated into the learning process, so that the standard written examination would not be appropriate. Instead, students' competence was assessed by grading three large…

We report on implementations of online homework systems at two moderately-sized state universities. These implementations were created with the intention of supporting student engagement outside of the classroom by mimicking the attempt-feedback-reattempt sequence of events which often occurs in a teacher's presence. Evidence is presented which…

This study examined students' perceptions of the Tablet PC as an instructional tool for teaching Calculus. A thirteen item survey was developed by the researchers and administered to 103 students in an introductory Calculus course at a large university in the Northeast of the United States. The purpose of this survey was to collect data regarding…

This article presents an open letter to the Professional Communities of Australian Council for Computers in Education (ACCE). In preparing for this article, the author looked back over the contributions of other fellows in publications and ACCE Minutes, and recognized that each had led the ACCE family in this endeavor. Creating direction was the…

This text weighs the ethical consequences of a virtual education that posits a learning community based on the free exchange of ideas and the economy of knowledge cultivating the circulation of ideas. It explores the ethical implications of a virtual educational enterprise characterised by exchanges that do not take place face to face but are…

This paper suggests examples that may be used to better integrate modern technology into the calculus I curriculum, and at the same time extend the student's understanding of the underlying concepts. Examples are chosen from the usual topics considered in most courses and not limited to any specific form of the technology.

Based on the properties of a Primitive Pythagorean Triple (PPT), a computer program was written to generate, print, and count all PPTs greater than or equal to I[subscript x], where I[subscript x] is an arbitrarily chosen integer. The Density of Primitive Pythagorean Triples may be defined as the ratio of the number of PPTs whose hypotenuse is…

Triangular numbers are used to unravel a new sequence of natural numbers here-to-fore not appearing on the Encyclopedia of Integer Sequences website. Insight is provided on the construction of the sequence using "buildings" as a viewable model of the sequence entries. A step-by-step analysis of the sequence pattern reveals a method for generating…

Information literacy has thus far been mostly a practical and strategic concept guiding the library field's efforts in teaching information seeking and using skills. Texts on information literacy rarely attempt to account for how individuals interact with other people and technical artifacts in their information environments. This article…

All humans use objects in their environment as tools for actions. Some tools are more useful than others for certain people and populations. This paper describes how different first-graders used handheld computers as tools when writing. While all 17 children in the observed classroom were competent users of their handheld computers, their use of…

In 1991, the Association for Retarded Citizens (ARC) of the United States issued a position statement stating that assistive technology (AT) could be a useful tool for individuals with mental retardation. The Division on Mental Retardation and Developmental Disabilities of the Council for Exceptional Children published a position statement…

This paper, develops the concept of "epistemic frames" as a mechanism through which students can use experiences in video games, computer games, and other interactive learning environments to help them deal more effectively with situations outside of the original context of learning. Building on ideas of "islands of expertise" [Crowley, K., &…