Research on teaching high school mathematics shows that the topic of percentages often causes learning difficulties. This article describes a method of teaching percentages that the authors used in university bridging courses. In this method, the information from a word problem about percentages is presented in a two-way table. Such a table gives…

A challenging problem in some developing countries such as Nigeria is inadequate training of students in effective problem solving using the core concepts of their disciplines. Related to this is a disconnection between their learning and socio-economic development agenda of a country. These problems are more vivid in statistical education which…

Creative problem-solving has been linked to successful adjustment to the demands of daily life. The ability to recognize problems as opportunities can be an essential skill when dealing with uncertainty and adapting to continuous changes, both in personal and professional lives. Family and consumer sciences (FCS) professionals should strive to…

The clique partitioning problem (CPP) requires the establishment of an equivalence relation for the vertices of a graph such that the sum of the edge costs associated with the relation is minimized. The CPP has important applications for the social sciences because it provides a framework for clustering objects measured on a collection of nominal…

The "fos" proto-oncogene codes for a component of the AP1 transcription factor, an important regulator of gene expression and cell proliferation. Dysregulation of AP1 function may lead to the malignant transformation of the cell. The present test describes an experiment in which the role of a micro-RNA (miR-7b) in the regulation of "fos" gene…

A closed form solution for the trigonometric integral [integral]sec[superscript 2k+1]xdx, k=0,1,2,..., is presented in this article. The result will fill the gap in another trigonometric integral [integral]sec[superscript 2m+1] x tan[superscript 2n]xdx, which is neglected by most of the calculus textbooks due to its foreseeable unorthodox solution…

There is a very natural way to divide a four-digit number into 2 two-digit numbers. Applying an algorithm to this pair of numbers, determine how often the original four-digit number reappears. (Contains 3 tables.)

It is widely recognized that purely cognitive behavior is extremely rare in performing mathematical activity: other factors, such as the affective ones, play a crucial role. In light of this observation, we present a reflection on the presence of affective and cognitive factors in the process of proving. Proof is considered as a special case of…

An interdisciplinary approach to teaching involves leveraging the different perspectives of each discipline to better understand an issue or problem. The most ideal topics for interdisciplinary study are those whose very nature is also interdisciplinary. Nanoscience--which combines biology, chemistry, physics, engineering, and mathematics--is one…

This article examines the ellipsograph of Archimedes, also known as the locus problem of Franciscus van Schooten, and related mechanisms. We not only solve the algebraic system explicitly, but we also reverse engineer the problem and find configurations that provide a particular solution. Using the modern techniques of polynomial Grobner Bases we…

Animated models use animations and explanations to teach how a problem is solved and why particular problem-solving methods are chosen. Often spoken explanations are proposed to accompany animations in order to prevent overloading the visual channel (i.e., the modality effect). In this study we adopt the hypothesis that the inferior performance of…

The financial calculator is incorporated in finance education. In class, the instructor shows students how to use the financial calculator's function keys to solve time value of money (TVM) related problems efficiently. The fundamental finance course is required for all majors in the business school. Some students, especially…

"Shaping the Future with Math, Science, and Technology" examines how ingenuity, creativity, and teamwork skills are part of an intellectual toolbox associated with math, science, and technology. The book provides new ideas, proven processes, practical tools, and examples useful to educators who want to encourage students to solve problems and…

I tested the effects of the absence and presence of Naming on rate of learning when teacher modeling was part of an instructional procedure. A time-lagged multiple probe design across matched pairs of participants was implemented. Eight elementary aged children with autism, ranging in age from 4 to 7 years old, were selected because they lacked…

The dynamic act of knowledge transfer, or the connection of a student's prior knowledge to features of a new problem, could be considered one of the primary goals of education. Yet studies highlight more instances of failure than success. This dissertation focuses on how knowledge transfer takes place during individual problem solving, in…