The purpose of these modules is to provide an introduction to the world of probability and statistics to accelerated mathematics students at the high school level. The modules also introduce students to real world math concepts and problems that property and casualty actuaries come across in their work. They are designed to be used by teachers and…

This article shows how to use six parameters describing the International Space Station's orbit to predict when and in what part of the sky observers can look for the station as it passes over their location. The method requires only a good background in trigonometry and some familiarity with elementary vector and matrix operations. An included…

Solving indeterminate algebraic equations in integers is a classic topic in the mathematics curricula across grades. At the undergraduate level, the study of solutions of non-linear equations of this kind can be motivated by the use of technology. This article shows how the unity of geometric contextualization and spreadsheet-based amplification…

Purpose: The purpose of this paper is to present a case study of City & Guilds' development of simulation-based assessments for its ICT user qualification. These simulations are authentic scenario-based replicas of word processing and spreadsheet software, which present a series of tasks that the test-taker completes as if they were using…

Many instructors in subjects such as economics are frequently concerned with how to teach technical material to undergraduate students with limited mathematical backgrounds. One method that has proven successful for the authors is to connect theoretically sophisticated material with actual data. This enables students to see how the theory relates…

The synthesis of the principles of SoTL into a process to be used in the classroom is an important part of scholarship. This work reviews foundation information related to SoTL and combines ideas from multiple authors into a manageable vision. In addition, the author identifies a tentative seven-step process for use in an individual classroom, and…

This teaching brief presents a Microsoft® Excel simulation designed to complement and expand upon the well-known matchstick/die game introduced by Goldratt in "The Goal." This simulation performs 100 replications of a 40-period processing run for low, medium, and high levels of process variation and displays the comparative results…

This article presents lesson plans that use downloadable spreadsheet tools that relate symbolic and graphical representations of functions. Instructions and a template allow readers to create personalized tools without programming. (Contains 14 figures.)

Knowing the mathematics relating to a problem is one thing, but producing a tool to solve a practical example is often daunting. This article describes a case study which presented an interesting implementational challenge.

The practicality and usefulness of variational Monte Carlo calculations to atomic structure are demonstrated. It is found to succeed in quantitatively illustrating electron shielding, effective nuclear charge, l-dependence of the orbital energies, and singlet-tripetenergy splitting and ionization energy trends in atomic structure theory.

In the United States, 21% of all energy is used in residential buildings (40% of which is for heating and cooling homes). Promising improvements in residential building energy efficiency are underway such as the Building America Program and the Passive House Concept. The ability of improving energy efficiency in buildings is enhanced by building…

In this article, the author focuses on possible ways to develop the concepts of joint variation and function through the upper primary and lower secondary years of education. The examples demonstrate the building of a range of important mathematical ideas by modelling life-related situations using students' informal and intuitive knowledge. Over…

During the last two years we have developed a precalculus course customized around biology by using the scientific method as a framework to engage and motivate biology students. Historically, the precalculus and calculus courses required for the Suffolk County Community College biology curriculum were designed using examples from the physical…

This study is part of a large research and development project aimed at observing, describing and analyzing the learning processes of two seventh grade classes during a yearlong beginning algebra course in a computer intensive environment (CIE). The environment includes carefully designed algebra learning materials with a functional approach, and…

College instructors are increasingly relying on wireless clicker systems as instructional tools in the classroom. Instructors commonly use clicker systems for such classroom activities as taking attendance, giving quizzes, and taking opinion polls. However, these systems are uniquely well suited for the teaching of psychology and other courses…