Helps students identify the animal that corresponds to the year of their birth according to the Chinese zodiac. Defines the structure of the Chinese zodiac so that the subsets of compatibles and opposites form closed substructures with interesting mathematical properties. (ASK)

Presents problem situations that support students when discovering the multiplication principle, permutations, combinations, Pascal's triangle, and relationships among those objects in a concrete context. (ASK)

Helps students make sense of the three ratios--the ratio between corresponding lengths, the ratio between corresponding areas, and the ratio between corresponding volumes--and begin to construct proportional relationships among them. (ASK)

Presents and discusses examples that can be used to develop the concept of slope as a rate of change through three modes of learning: (1) visualization, (2) verbalization, and (3) symbolization. (ASK)

Describes a project that utilizes journal writing in the mathematics classroom. Journals are a valuable form of assessment for students and teachers and furnish concrete feedback on a student's understanding of a mathematical concept. (ASK)

Describes a student project that enables students to experience problem-solving strategies and construct their own understandings of the problem-solving strategies by researching the problem-solving process itself, uncovering and defining strategies that they can subsequently use to solve problems, and exploring the impact that attitude has on…

Presents a mathematics lesson that focuses on particular connections between geometry and measurement, how change in shape effects the area of the interior region of parallelograms with the same perimeter. (ASK)

Presents an opportunity for students to become familiar with the fundamental premise of iteration for a new branch of mathematics that is known as chaos theory by using graphing calculators. (ASK)

Takes the concept of using a geometrical or visual approach to teach algebraic concepts and extends it to connect with the section on binomial expansion by using three dimensional objects. (ASK)

Uses the average-monthly-temperature function as an application of the sine wave. Argues that the attractive aspect of gas bill graphs is that they clearly illustrate that sinusoidal curves are useful and meaningful in an everyday context. (ASK)

Presents an activity that uses square-foot tiles as a coordinate system on which human geometric models are constructed. (ASK)

Discusses the benefits of learning the history of mathematics and how it can be useful in teaching as well as interesting. Provides information on how to put mathematics in its historical context, show the interaction of mathematics with cultures, and shed light on the teaching and learning of mathematics. (Contains 25 references.) (ASK)

Presents activities that allow students to explore alternative voting methods and discover the advantages and disadvantages of each method. Features the statement and proof of Arrow's theorem which requires only basic arithmetic and allows students to engage in high-level mathematical thinking. (ASK)

Active involvement and infusion of mathematics into familiar, everyday experiences are essential elements in challenging students to engage in true thinking. Presents an investigation on graphing that touches on all representations including tables of values, graphs, and verbal descriptions. (ASK)

Introduces a lesson that incorporates numeric, graphic, and algebraic approaches as well as a strong verbal communication component into the maximizing problem. (ASK)