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)

Presents activities for teaching the logistic growth model using calculators and spreadsheets. (ASK)

Discusses cooperative learning and describes a method of implementing a cooperative-learning setting called Exchange of Knowledge. Contains 28 references. (ASK)

Suggests scales as alternative representations of numerical concepts and operations that can be used as arithmetic-mean machines, adding machines, multiplication machines, and geometric-mean machines. (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)

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)

Presents an activity on soap-bubble geometry using a guessing contest, explanations, and demonstrations that allow students to mesh observation and mathematical reasoning to discover that mathematics is much more than just number crunching. (ASK)

Presents Cevian geometry problems (involving a segment that joins a triangle's vertex to a non-vertex point on opposite side) that illustrate how to implement methods for developing flexible strategies of problem solving, finding multiple representations, and making connections to other areas of mathematics and the real world. (ASK)

Presents activities to demonstrate some of the properties and relationships among the Platonic polyhedra. (ASK)

Students have difficulty associating equations of vertical and horizontal lines with their respective graphs. Presents an activity using a TI-82 graphing calculator to eliminate this confusion and to strengthen students' understanding. (ASK)

Presents an activity that uses an inexpensive paper plate and a short length of adding machine tape to help students experience the concept of radian measure. Focuses on radian measurement and connects many geometric concepts regarding the circle. (ASK)

Presents an activity to introduce the concepts of average rate change and instantaneous rate of change of a function and to explore the relationship between the value of the exponential function and its instantaneous rate of change. (ASK)

Discusses the commercial for Skittles candies and asks the question "How many flavor combinations can you find?" Focuses on the modeling for a Skittles exercise which includes a brief outline of the mathematical modeling process. Guides students in the use of the binomial theorem and Pascal's triangle in this activity. (ASK)

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 an experiment to test the statistical hypothesis that Oreo Double Stuf cookies contain twice as much filling as traditional Oreo cookies. (ASK)