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)

Presents an activity using similar rectangles to help children conceptualize ratio relationships in several different ways. Develops proportional reasoning without introducing the process of cross- multiplication. (YDS)

Discusses ways in which teachers can use the appealing study of quilts as a tool for teaching mathematics concepts and connecting multicultural history, literacy, and art. (Author/NB)

Describes how Thales, one of the Seven Sages of ancient times, used shadows and similar triangles to measure the heights of the pyramids. Includes activities on surveying. (YDS)

Investigates problems called "cranium crackers" and focuses on number sense, logical reasoning, data analysis, geometry, measurement, and algebraic thinking. (Author/NB)

Presents a discovery lesson in which students investigate the limit of angle measures formed by repeatedly folding a strip of paper. (KHR)

Describes the idea of teaching as active learning and defines direction in mathematics teaching as action and perception. Presents an example of a mathematics classroom activity in which students are centered. (KHR)

The exploration, discovery, and generation of attractive two-dimensional designs as an approach to informal geometry and spatial learning is discussed. Six activities with brief instructions are presented. (CW)