Teaching ideas are presented on the following topics: the number line, earthquakes and Venn diagrams, homework, and flow proofs in geometry. (MP)

Suggestions for a geometric walk outside the classroom are given. The suggestions include: questions concerning functional shape, aesthetic shape, and geometric vocabulary; sketching a map; and activities to be conducted in the classroom after the walk. (MK)

Presents suggestions, for secondary mathematics teachers, for simple geometric constructions. The suggested constructions use only a straightedge and a right-triangular rule and could be carried out in the classroom. (HM)

Having students find and cut out of graph paper the 12 pentominoes can provide an enjoyable exercise in perception, discovery, and double checking. The pentominoes can then be used to illustrate informally several geometric concepts. (SD)

A number of paper-folding activities are described. The activities illustrate geometric concepts, theorems, and construction techniques. (SD)

A journal called the Ladies' Diary published from 1704 to 1841, presented mathematical problems, and solutions to the problems. The purposes of the journal are compared to those of Scientific American today. (SD)

A study examining performance differences on the Ohio Colleges Early Math Placement Test of students receiving algebra and geometry instruction in a traditional, year-long structure versus students in an intensified block structure found the traditional structure more effective. Using block scheduling for all courses and students is unwise. Some…

Discusses several dynamic geometry constructions with rectangles. Advocates use of software like Geometer's Sketchpad and Cabri Geometry for fostering fresh insight into traditional geometric theorems. Illustrates problem-solving methods not possible with pencil and paper. (MTE)

This article describes how students (ages 8-16) with hearing impairments can use geoboards to develop perceptions about squares, including: pattern recognition, characteristics of squares, concepts of area and perimeter, and generalizations of those ideas. A step-by-step lesson plan and a student worksheet are provided. (CR)

Profiles a middle school mathematics teacher and examines her use of two problems from a pilot version of a 6th grade unit developed by a mathematics curriculum project. Reports that problem-solving-oriented curricula provide opportunities for students to make mathematics connections and leads to student confusion and uncertainty. Contains 35…

Presents an instructional model and philosophy of a mathematics course for preservice elementary and middle grades teachers that could help make the vision of geometry teaching and learning a reality. (KHR)

Describes a teaching method to explain excess burden, a key concept in the public economics field. Demonstrates that changing any relevant variable has the same effect on excess burden when viewed as an area of a triangle under a demand curve or as the value of a mathematical formula. (JEH)

Investigates the effects of inquiry activities on a dynamic geometry environment designed to confront students with contradictions and uncertainties. Characterizes epistemological, didactic, and cognitive aspects of the activities. Analyzes the interplay among these three aspects, students' investigations, and their explanations. (Author/KHR)

Describes the process of combining two theorems from plane geometry to form the chord-line theorem. In this theorem, the concept of two intersecting chords or extended chords is replaced by a single chord-line. (DDR)

Considers the perspective that method is independent of subject matter and that certain areas might be better conceived of in terms of signs and interpretations rather than in terms of objects and interactions. Contains 32 references. (DDR)