Describes a professional development project entitled Learning the Unlikely at Distance Delivered as an Information Technology Enterprise (LUDDITE). Explains three phases of the project with two central concerns: the provision of essential content for teachers of chance and data, and the evaluation of various technologies for delivering the…

Discusses two common student errors regarding fractions. Presents different solution strategies for finding a fraction. (ASK)

Reviews 10 years of graphing calculators. Examines the issues associated with them and attempts to confront some questions such as, for the teacher, whether graphing calculators should be used in instruction. (ASK)

Describes the use of investigations for the purpose of assessment, teaching, and learning. Lists types of questions that can be included in investigations. Explains how to write an investigation and provides some examples. (ASK)

In order to help students more effectively, it is necessary to know how students use and perceive mathematics in out-of-school settings. Discusses some mathematical concepts and processes--such as the concept of function and the process of estimating--which provide evidence of students' mathematical ideas. (ASK)

Discusses an old and quite surprising musical example that provides good challenges in probability theory ranging from practical routine computations to fundamental and philosophical ones, and extended with the engineering design task of generating random numbers. (ASK)

Suggests that student writing has definite benefits for mathematics learning. Presents five activities to help teachers use writing in their mathematics classes. (ASK)

Provides practical applications of elementary coordinate geometry while discussing how mathematics is used to assess the security of systems. (ASK)

Describes some general techniques for making collapsible models, including spiral models, for all the Platonic solids except the cube. Discusses the nature of the dissections of the faces necessary for the construction of the spiral cube. (ASK)

Describes two projects to illustrate some common principles in the design and development of projects, independent of the level of schooling. (ASK)

Citing some past educational fads, the author addresses the curricular opportunities afforded by the hand-held calculator. He argues that students can gain deeper insight into many mathematical concepts by actually experiencing them. The availability of calculators will also cause some topics to disappear from the curriculum. (SD)

The author discusses the relationships between art and mathematics throughout history. Many illustrations are included. (SD)

A course for high school students who have completed one semester of geometry explores neutral geometry (no parallel postulate), Lobachevskian, and Riemannian geometries. The teachers believe that students who study several postulational systems gain a better understanding of Euclidean geometry. (SD)

The author explores relationships among the lengths of sides of a triangle, one of whose angles measures 60 degrees. A computer program designed to search for special triangles is included. (SD)

After students learn that it is impossible to trisect an angle using compass and straight-edge, students are introduced to the trisectrix curve which accomplishes the trisection. (SD)