LEGO® stop-motion animations were developed to engage first-year university students in the topics of matrices, vectors, linear geometry and linear transformations. LEGO® provided a versatile medium through which a wide range of concrete and abstract concepts could be physically demonstrated in both two and three dimensions. It was also familiar…

The authors provide a dynamic Ferris wheel computer activity that teachers can use as an instructional tool to help students investigate functions. They use a student's work to illustrate how students can use relationships between quantities to further their thinking about functions.

Statistical inference relies heavily on the concept of sampling distributions. However, sampling distributions are difficult to teach. We present a series of short animations that are story-based, with associated assessments. We hope that our contribution can be useful as a tool to teach sampling distributions in the introductory statistics…

Computer graphics and animation experts have been using the Catmull-Rom smooth curve interpolation equations since 1974, but the vector and matrix equations can be derived and simplified using basic algebra, resulting in a simple set of linear equations with constant coefficients. A variety of uses of Catmull-Rom interpolation are demonstrated,…

The way that Taylor polynomials approximate functions can be demonstrated by moving the center point while keeping the degree fixed. These animations are particularly nice when the Taylor polynomials do not intersect and form a nested family. We prove a result that shows when this nesting occurs. The animations can be shown in class or…

Computer simulations and animations for developing statistical concepts are often not understood by beginners. Hands-on physical simulations that morph into computer simulations are teaching approaches that can build students' concepts. In this paper we review the literature on visual and verbal cognitive processing and on the efficacy of…

In this article, the author describes his experiments with Steiner's Porism using the drawing/animation program "Cinderella" and discusses insights into this theorem gleaned from the manipulation of his animation. (Contains 2 notes.)

This article presents an anecdote of the author's experience of working "in the usual way" using animation with Year 7 and with National Academy of Gifted and Talented Youth students (Y7-11) at a recent summer school in Lancaster. When he tried the animation with Year 7 and NAGTY students, the author found that this could easily be used…

Here we explore the educational implications of classroom activities related to the backgrounds and motivations of talented Hollywood comedy writers and the mathematical moments they created for the Emmy Award-winning animated sitcom "Futurama." (Contains 6 figures.)

In 2006, as a beginning teacher in a Western Sydney school, the author explored slow motion animation ("slowmation") as a strategy for teaching Year 4 students about equivalent fractions. She taught at this school five days a week, teaching Kindergarten, Year 4, and Year 5. Slowmation can be defined as a simplified version of claymation…

Macromedia's FLASH development system can be a great tool for mathematics education. This article presents detailed Flash tutorials that were developed and taught by the author to a group of mathematics professors in a summer course in 2005. The objective was to educate the teachers in the techniques of animating equations and mathematical…

Cyberchase is an animated television series airing on public broadcasting stations throughout the United States. It focuses on mathematics for elementary-level students ages 8-11 and is designed to engage young people with math concepts in a highly stimulating multimedia format. As part of continuing program improvement, a website for parents and…

A Mathematica[TM] package is described that uses simulations and animations to illustrate key concepts in harmonic oscillation and electric circuits for students not majoring in physics or mathematics. Students are not required to know the Mathematica[TM] environment: a user-friendly interface with buttons functionalities and on-line help allows…