Presents a derivation of Kepler's first law of planetary motion from Newtonian principles. Analogus derivations of the hyperbolic and parabolic orbits of nonreturning comets and the hyperbolic orbit for a particle in a repulsive inverse-square field are also presented. (HM)

Examples are presented of the use of the direct product in chemical group theory. (BB)

Cellular partitioning of space is discussed. Directions are given for making geometric models of cells. (DT)

Mathematics courses aimed at students who plan to continue far enough with business or social science education to need statistics and perhaps computer science are discussed in general. A method for increasing student participation in these courses is suggested. (DT)

Suggests that the classical exact formula for the conversion of degrees Celsius and degrees Fahrenheit is not user-friendly. Offers an approximate linear transformation that is easier to remember and use. Investigates both the exact conversion and the approximate conversion and provides interesting and relevant problems for small group…

Discusses the meaning of the phrase "mathematics is everywhere." Introduces the book "Reconstructing School Mathematics: Problems with Problems and the Real World", written by Stephen Brown, which emphasizes mathematical modeling and the connection between mathematics and students' lives. (KHR)

Explores the concept of partitive division in a 4th grade class. Uses students' concrete and pictorial representations to examine the mathematics in a story. (KHR)

Uses a probability tree to predict the most likely wild card team for a National League Championship. (KHR)

Describes a laboratory-type activity, liquid assets, used to illustrate, develop, or reinforce central concepts in first-year algebra. These include linear function, slope, intercept, and dependent and independent variables. Presents a group activity for collecting data, transition from group to individual activity in plotting data points, and…

Describes the incorporation of math concepts into snacktime for prekindergarten students through a self-serve center with a snack menu. Children gain experience in counting, sequencing, and measuring continuous quantities; understand the concepts of sets, uniform units, more and less, equal quantities, fractions, zero, and patterns. (KB)

Suggests ways for using data from championship tennis as a means for exploring probabilistic models, especially binomial probability. Examples include the probability of winning a service point and the probability of winning a service game using data from tables and graphs. (AIM)

Introduces the Fibonacci sequence using examples from nature. Describes some fascinating mathematical patterns using multiples and GCFs that exist among these numbers. (KHR)

Describes the development of American apportionments and investigates the mathematics used to determine apportionment. Provides a worksheet for further exploration. (KHR)

Describes an instructional sequence that promotes student understanding of a coordinate system while simultaneously facilitating understanding of linear relationships. (Author/NB)

Presents the Picasso Masterpiece problem to develop spatial reasoning in students. Addresses the National Council of Teachers of Mathematics (NCTM) Geometry Content Standards. (Author/NB)