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Mathematics with Structure and Style

In this Editor's note, I discuss how to use HTML, CSS style sheets, and JavaScript to produce mathematical documents that are well-structured, conform to best practices, and look good. I also provide a number of sample documents and links to resources.

Teaching Mathematics Online: A Virtual Classroom
An article describing the author's first experience with teaching an online course, with suggestions for those who find themselves in similar circumstances
Dynamic Mathematics with GeoGebra

In this article we introduce the free educational mathematics software GeoGebra. This open source tool extends concepts of dynamic geometry to the fields of algebra and calculus.

Constructing Mathlets Quickly using LiveGraphics3D
This is a Developer's Area article that describes how to use a Java applet called LiveGraphics3D to speed up the process of creating interactive graphics by removing the need to create a graphics engine in Java, Flash, or other programming languages.
Expository Mathematics in the Digital Age

This Editor's Note discusses best practices for writing web-based expository mathematics.

Unified Treatment of Four Methods for Solving Nonlinear Equations
This article unifies four numerical procedures for solving nonlinear equations: the regula falsi, Newton--Raphson, secant, and Steffensen methods.
The Geometry of Dot and Cross Products
This article argues for pedagogical reasons that the dot and cross products should be defined by their geometric properties, from which algebraic representations can be derived, rather than the other way around.
Three Party Elections: Interactive Examples
This article uses interactive mathlets to explore various methods of determining the winner of a three party election. Methods of constructing paradoxical examples are also given.
Mathematics in Poetry

Poems sometimes have interesting connections to mathematics, either because of mathematical imagery in the poem or because of mathematics in the structure of the poem (word or syllable counts or shape). This article explores some of these connections

Which Planet is Largest?

In this article, we use on-line resources and computational tools to approximate the volume of the space occupied by each planet as it orbits the Sun.

 

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