This article is written to share teaching ideas about using commonly available computer applications--a spreadsheet, "The Geometer's Sketchpad", and "Wolfram Alpha"--to explore three classic and historically significant problems from the probability theory. These ideas stem from the authors' work with prospective economists,…

A general systematic approach is proposed for the numerical calculation of multi-equilibrium problems. The approach involves several steps: (i) the establishment of balances involving the chemical species in solution (e.g., mass balances, charge balance, and stoichiometric balance for the reaction products), (ii) the selection of the unknowns (the…

Logistic growth displays an interesting pattern: It starts fast, exhibiting the rapid growth characteristic of exponential models. As time passes, it slows in response to constraints such as limited resources or reallocation of energy. The growth continues to slow until it reaches a limit, called capacity. When the growth describes a population,…

The topic of coupled oscillations is rich in physical content which is both interesting and complex. The study of the time evolution of coupled oscillator systems involves a mathematical formalization beyond the level of the upper secondary school student's competence. Here, we present an original approach, suitable even for secondary students, to…

A simple spreadsheet program is presented that can be used by undergraduate students to calculate the lattice-site distributions in solids. A major strength of the method is the natural way in which the correct number of ions or atoms are present, or absent, at specific lattice distances. The expanding-cube method utilized is straightforward to…

Some might argue that the true ability to think, perceive, and analyse mathematically is the ability to solve problems. Others might say that it has more to do with advanced applications of procedures in particular contexts. The author would like to put a slightly different spin on this by viewing it, at least partly, in terms of one's ability to…

The ability of mathematics teachers to decompress mathematics and to move between representations are two key features of mathematical knowledge that is usable for teaching. This article reports on four pre-service secondary mathematics teachers learning the mathematics of annuities. In working with spreadsheets students began to make sense of…

Optimization of a chromatographic separation within the time constraints of a laboratory session is practically impossible. However, by employing a HPLC simulator, experiments can be designed that allow students to develop an appreciation of the complexities involved in optimization procedures. In the present exercise, a HPLC simulator from "JCE…

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…

This is a must-have resource for all K-12 teachers and administrators who want to really make the best use of available technologies. Written by Doug Johnson, an expert in educational technology, "The Classroom Teacher's Technology Survival Guide" is replete with practical tips teachers can easily use to engage their students and make their…

In this brief article, the author instructs teachers on how to produce an interactive spreadsheet from scratch in about 20 minutes and en route equip themselves and their students, with handy "Excel" skills. The aim is to introduce the basics of "Excel," plus some fun bits, speedily and with a purpose; producing something that is useful in its own…

Describes the use of a spreadsheet in running a hands-on prey/predator simulation that enables students to see the effect of selection pressure on one allele in a gene pool. Discusses setting up and running the simulation, class discussion issues, exploring assumptions, and extensions. (JRH)

Describes research using a pedagogic strategy developed during an exploratory work called Active Graphing in which access to spreadsheets allows graphs to be used as analytic tools within practical experiments. Identifies aspects of student interaction with the experiment itself, the data collected and the graphs, and traces the emergence of…

Describes the use of spreadsheets to discuss mathematical concepts without using algebraic notation. Presents examples using Fibonacci numbers and factorials. (MKR)

A search on the Internet for resources for teaching statistics yields multiple sites with data sets, projects, worksheets, applets, and software. Often these are made available without information on how they might benefit learning. This paper addresses potential benefits from resources that target trend and variability relationships in bivariate…