The Birthday Paradox problem can be investigated either with a carefully constructed spreadsheet (for greatest precision) or a calculator process (for reasonable precision). A number of ways of approaching this problem as a class activity are provided.

This teaching brief describes an engaging, in-class exercise that introduces genetic algorithms as well as advanced Excel functions and capabilities by modeling the familiar Sudoku puzzle. Student groups are first asked to manually solve a given puzzle and then translate that solution methodology to a spreadsheet model. This exercise can be used…

Spreadsheets provide a rich setting for first-year algebra students to solve problems. Individual spreadsheet cells play the role of variables, and creating algebraic expressions for a spreadsheet to perform a task allows students to achieve a glimpse of how mathematics is used to program a computer and solve problems. Classic optimization…

A bachelor's degree program in chemistry typically starts with basic concepts in mathematics, physics, and chemistry. Those principles are very important because they pave the ground for future advanced studies and, therefore, one needs to present them in a clear but rigorous way. One example is provided by the mathematical notion of an iterative…

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,…

The development of a student's ability to make data-driven decisions has become a focus in higher education (Schield 1999; Stephenson and Caravello 2007). Data literacy, the ability to understand and use data to effectively inform decisions, is a fundamental component of information competence (Mandinach and Gummer 2013; Stephenson and Caravello,…

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…

Dice are considered one of the oldest gambling devices and thus many mathematicians have been interested in various dice gambling games in the past. Dice have been used to teach probability, and dice rolls can be effectively simulated using technology. The National Council of Teachers of Mathematics (NCTM) recommends that teachers use simulations…

A national student competition problem in business intelligence (BI) is considered to foster an understanding of this competition and of the underlying case study problem used. The focus here is two-fold. First, is to illustrate this competition, and second, is to provide a case problem that can be considered for use in various information systems…

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…

A mechanism for using personal computer spreadsheet software to generate unique laboratory and problem assignments in optics for each student and provide corresponding solutions that can be checked quickly is described. The method minimizes some students' tendency to inspect others' solutions without solving problems themselves. Another…

Discusses the use of a spreadsheet program to vary the parameters in multiloop circuit problems. Enables students to better understand how the elements in a multiloop circuit determine the current by allowing them to see the results of the changes immediately. (JRH)

Discusses a method that uses spreadsheets to calculate the exact distribution of the sum of two or more discrete random variables with arbitrary distributions. Demonstrates how this method can be used to investigate several problems that would be found interesting at the elementary level. (Author/ASK)

Focuses on the place of discrete mathematics in the grades 9-12 mathematics curriculum and discusses how the topic of recursion should be taught. Presents several examples of recursion involving LOGO, spreadsheets, sequences, Pascal's triangle, and the Tower of Hanoi to illustrate its teaching. (MDH)