In the mid-1800s, Englishman John Venn invented a type of diagram to help visualize logical relationships. A Venn diagram is simply a rectangular box with circular loops in it that overlap to show how objects are related. This article describes activities with Venn diagrams that can be a fun way to sharpen students' logic skills and develop number…

The easiest way to learn anything is to make the topic or activity relevant to life. The same is true for math. If teachers clearly demonstrate the relevancy of math to everyday life, students can more easily see the purpose of learning and embracing the subject. But before teachers make math relevant, they will need to overcome one more…

Mathematical contests should be decentralized to allow access to non competitive activities so as to enable students to participate and succeed in Mathematics. These activities should be compellingly interesting so that students enjoy learning about proofs and abstract structures rather than just solving problems.

Another way to divide a line segment discovered by Nathan Besteman is described along with Euclid's and the GLaD construction. The related projects and problems that teachers of geometry can assign to their students are also presented.

Mathematics truly is magical, especially for students with strong number sense and algebra skills. This paper describes a variety of mathematical surprises that will capture students' interest and motivate exploration of mathematical ideas. While the tricks themselves are fascinating, push students to think about the reasons why these stunning…

In early 2004, Cabrilog released version "II plus" of their interactive geometry package. According to the author, "Cabri Geometry II plus" is clearly a much more useful package than the earlier version. However, unlike other sophisticated applications packages, the designers have avoided creating so many options that secondary students lose their…

Reviews communication as a fundamental component in implementing a balanced and effective mathematics program. Presents a classroom episode in which students solve problems, use rubrics to rate the written response of a peer, and discuss solutions and decisions for rating their peers' papers. (KHR)

Argues that mathematics literacy begins at birth and that all that children need to construct mathematics concepts for themselves are a stimulating environment and receptive adults. Provides suggestions for promoting emergent math for children from birth through 4 years, including using rhythm and music, incorporating mathematics concepts into…

This article discusses how children learn to understand the decimal system in very concrete ways, while having fun using beads. When counting the beads, the children learn 5,491 is not simply "five thousand four hundred and ninety-one" but actually 5 thousands, 4 hundreds, 9 tens, and 1 unit. They begin to understand that as they get 10 units,…