This essay discusses the sketching and transformation of parabolas and other curves as areas where learners can exercise and develop control of their mental imagery. (MN)

Relationships between the linear dimensions, surface area, and volume of parallelepipeds are examined. (SD)

This article examines the Pythagorean Theorem from a geometric point of view by suggesting some natural extensions of the theorem. The use of a more general theorem to prove a difficult one is suggested, where possible. The article includes figures and proofs. (Author/MA)

The author illustrates a method for the construction of the eight deltahedra, using cardboard and rubber bands. (MN)

Preservice elementary teachers were given the task of showing a special case of the Pythagorean theorem by paper cutting. In the process they developed approximations to the square root of two. (SD)

This paper describes the nature and use of a computer-assisted sequence of instruction in college-level mathematics. Units in differential and integral calculus and geometry are described. The authors claim that students acquire increased confidence in their knowledge and problem-solving ability. (SD)

This article was written in part to celebrate the anniversaries of landmark mathematical works by Newton and Descartes. It's other purpose is to dispel some myths about Sir Isaac Newton and to encourage readers to read Newton's works. (PK)

Presents a variety of mathematics activities for students to solve. Sections are included on geometrical dissection, prime numbers, trigonometry, and number concepts. (RH)

Presented are activities and references involving tangrams. Seven pieces are cut from a single square of paper; other shapes and objects are made from these pieces. (RH)

A theorem is given for a property of right triangles. From it, students can deduce significant relations. (MNS)

The role of sentential logic traditionally taught in high school geometry is challenged. A rationale for shifting that content to algebra and replacing it with inferential logic, which directly affects proof making, is given. (MNS)

Activities involving the drawing of pictures using coordinate geometry are described. One year a contest was held; another year, murals were drawn on walls. (MNS)

Following a brief introduction to the LOGO programing language, describes its use in a sixth-grade classroom. The situations described illustrate students' growth while the choice of the situations illustrates teachers' growth. (JN)

Discusses the place of descriptive geometry in schools problems of teaching technical graphics to young students. Instructional materials for teaching technical graphics, graphic programs, program development, and the value of school project work are considered. Sample computer-generated drawings are included. (JN)

Presents three activities in which students learn about and construct star polygons using the LOGO programing lanaguage. A list of suggested extension activities is included. (JN)