Presents an activity in which students explore properties of quadrilaterals using geoboards. (YDS)

Describes the processes used by middle school students to expand their thinking about the formula for the area of a parallelogram by observing patterns in the operation of a flexible parallelogram. (YDS)

Suggests using literature to study geometry and presents activities on the book "Sitting in My Box." (Author/NB)

This model is useful in identifying specific learning problems and in providing techniques for the teacher to motivate and teach students at all levels. What it is and how it can be used are discussed, illustrated by specific strategies for geometry and science. (MNS)

Reviews the book by Michel Serres, "Hermes: Literature, Science, Philosophy." Discusses Serres' ideas about the history of science and mathematics, mathematical discourse, the double writing of geometry, and the applications of mathematics in the human response to the world. (MDH)

Discusses the need for a van Hiele test without limitations. Presents the background and main characteristics of a procedure to select items in designing three linked tests on polygons and other related concepts. Contains 15 references. (ASK)

Works towards a synthesis of metacognitive theories that are implicit in the works of van Hiele and Piaget. Provides greater detail on those theories after describing two features of a good theory of metacognition that prefigure the contrast between van Hiele and Piaget. Contains 17 references. (ASK)

Describes a mathematics lesson that was presented to students in a course entitled "Art and Nature". Focuses on proportion and similarity and how those concepts are used by artists. (ASK)

Presents a model for representing and storing binary topological and directional relationships between 2-dimensional objects that is used to provide a basis for fuzzy querying capabilities. A data structure called an abstract spatial graph (ASG) is defined for the binary relationships that maintains all necessary information regarding topology and…

Shares how students worked on a geometry activity that emphasizes patterns featured in this journal. (ASK)

This article reviews some of the research on indirect proof, discusses implications of the research for teaching, and offers some specific examples and strategies that can increase students' success with this important proof technique. (AIM)

Integrates different geometries and blends several topics that have important applications in both higher mathematics and other disciplines. Aims to make these topics more attractive and understandable to high school students in a way that reinforces logical thinking with visual understanding obtained through computer usage. Contains 28…

Created two geometric inductive reasoning matrix tests by manipulating four sources of complexity orthogonally. Results for 313 undergraduates show that fluid intelligence is most strongly associated with the part of the central executive component of working memory that is related to controlled attention processing and selective encoding. (SLD)

Discusses reflections on a videotaped geometry lesson from a Japanese classroom. Contrasts the lesson with the work of a group of teachers on a B.Ed. program who were given the same problem-solving task as the Japanese pupils. (MM)

Offers a tangible suggestion for how dot paper can be used to implement an exploratory approach to problem solving in middle school geometry. Presents some intriguing mathematical tasks that demonstrate the elegance of mathematics, the usefulness of dot paper as a teaching tool, and the value of divergent thinking approaches to problem solving.…