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)

Describes an activity which provides a starting point for exploring geometric concepts through language. The activity incorporates three general ideas: (1) relating to personal experience; (2) integrating with other disciplines; and (3) requiring students to express their ideas. A sample activity would include writing a story about what life would…

Using Longitudinal Study of American Youth data, researchers investigated factors related to middle and high school students' learning or growth in statistics, algebra, and geometry. Results indicated substantial growth in all three content areas in both middle and high school. Factors related to student learning included student characteristics…

Describes Kerf bending which is used to produced a curved shape out of plywood. Discusses why Radtke's kerf-cut method yields a circular arch. (KHR)

Focuses on geometric solutions of quadratic problems. Presents a collection of geometric techniques from ancient Babylonia, classical Greece, medieval Arabia, and early modern Europe to enhance the quadratic equation portion of an algebra course. (KHR)

Describes a unit of study focusing on tessellations to show students another view of mathematics. (Author)

Discusses examples of the detailed explanations that students offered in response to a written, open-ended geometry task, especially the ways in which students communicated their knowledge. Illustrates how different students may select different methods of communication such as using text, diagrams, or mathematical symbols to display their…

Uses spatial visualization to make connections among Zeno's paradox, geometry, fractions, infinite series, and limits. (YDS)

Illustrates the varied mathematical reasoning involved when a geometric construction problem is solved with three different manipulative tools. (Author/NB)