Mathematical patterns obtained by using rectangles and inductive reasoning are discussed. (DT)

Geometric models are used to study numerical relationships in summation formulas. (DT)

An algebraic-geometric solution technique used by the ancient Chinese is examined. (DT)

Six different methods for bisecting a line segment are illustrated and explained. (DT)

The use of the Mira, a geometric device for studying reflections, is discussed. Proved are that all Euclidean constructions can be made with a Mira and that the Mira can be used to trisect an angle. (DT)

Features of one particular kind of map, called a polar stereographic projection, are discussed in detail. (DT)

A transformation technique for graphing is described. (DT)

Conjectures about triangular arrangements of nine digits are stated and proved. (DT)

Determining which whole numbers can be expressed as the difference of two squares and which as the sum of two squares forms the basis of two discovery exercises. (DT)

Specific procedures are outlined for teaching first-year algebra in such a way that students are given a reasonable voice in how and what they are taught and are allowed to learn at varying rates and from different materials. (DT)

Commonly used words in algebra are hidden in a grid. (DT)

Names of mathematicians are hidden in a grid. (DT)

A cake recipe is given in terms of calculus problems, where the solution to the problem tells the amount of ingredients to be used. (DT)

Directions are given for making a model of a three-dimensional coordinate graph. (DT)

Using a staircase to introduce the concept of slope is discussed. (DT)