In this note, it is shown that in a symmetric topological space, the pairs of sets separated by the topology determine the topology itself. It is then shown that when the codomain is symmetric, functions which separate only those pairs of sets that are already separated are continuous, generalizing a result found by M. Lynch.

The purpose of this note is to outline further enrichment exercises with rhotrices and thus to stimulate ideas on mathematical arrays and structures. Rhotrices provide students with examples on how to imagine new forms of arrays and their classifications as abstract structures.

This article describes how all students can apply the algebra skills they have learned to problem solving through investigation, along with different levels of proving the conjectures algebraically.

Background: Drug use has been noted among students in Taiwan during the past decade and schools have a role in preventing or delaying students' drug use. We developed and evaluated a school-based, drug-use prevention program integrating the theory of planned behavior (TPB) and life skills for junior high school students. Methods: We recruited 441…

This study examined adolescent developmental experiences and participation in extracurricular activities. Providing youth with multiple channels to nurture their development and acknowledge their interests and strengths can play a significant role in their holistic growth. This is a descriptive study of a mixed-methods design (quantitative and…

This edited volume provides an overview of the latest advancements in adaptive training technology. Intelligent tutoring has been deployed for well-defined and relatively static educational domains such as algebra and geometry. However, this adaptive approach to computer-based training has yet to come into wider usage for domains that are less…

Traditional modes of chemistry education in schools focus on imparting chemistry knowledge to students via instruction. Consequently, students often acquire the mistaken understanding that scientific knowledge comprises a fixed body of "proven" facts. They fail to comprehend that the construction of scientific understanding is a human…

Results on human performance on the Traveling Salesman Problem (TSP) from different laboratories show high consistency. However, one exception is in the area of individual differences. While one research group has consistently failed to find systematic individual differences across instances of TSPs (Chronicle, MacGregor and Ormerod), another…

For the past few years, virtual environments (VEs) have gained broad attention from both scholarly and practitioner communities. However, in spite of intense and widespread efforts, most VE-related research has focused on the technical aspects of applications, and the necessary theoretical framework to assess the quality of interfaces and designs…

Leaders in government, business, and higher education are calling for today's students to show a mastery of broader and more sophisticated skills like evaluating and analyzing information and thinking creatively about how to solve real-world problems. Standing in the way of incorporating such skills into teaching and learning are widespread…

Critical thinking is often a desired competency for graduates of a technology program. Organizational members have uttered concern about students' inability to think critically. Although traditional pedagogical techniques, such as lectures and examinations, center on knowledge acquisition, debates in the technology classroom can effectively…

Participatory action research advocates for teachers, parents and others to engage in practical inquiry as part of their everyday work for the purpose of improvement. Findings from this project affirm that a collaborative community of researchers, one in which the participants can critically analyse and transform their own situations, can have a…

Purpose: The purpose of this paper is to compare the effect of different representations while teaching basic algorithmic concepts to novice programmers. Design/methodology/approach: A learning activity was designed and mediated with two conceptually different learning environments, each one used by a different group. The first group used the…

This paper examines the definition of a problem and at the process of problem solving. An analysis of a number of first and third year chemistry examination papers from English universities revealed that over ninety per cent of the "problems" fell into the "algorithm" category. Using Bloom's taxonomy and the same examination…

The author states that the U.S. is at risk of falling behind in the global economic competition because too few of the young people are choosing to study fields like engineering and science. A 2005-06 Lemelson-MIT Invention Index survey found that while American teenagers are comfortable with rapid technological change and optimistic about the…