Reports evidence of construction and coordination of units in a measurement setting using data gathered from four students during individual problem-solving sessions near the end of their fourth-grade year. Proposes the task of measuring two-dimensional regions becomes possible when a student can construct two-dimensional units and coordinate…

Investigates the conditions and constraints of the integration of the dynamic geometry software Cabri into the teaching of geometry in primary school classes (10-year-old pupils). Focuses on the way the dialectic between old and new is working during this integration, looking at the types of tasks and techniques proposed in class by teachers.…

Proposes a lesson that integrates the volume of geometric prisms and literature as a way to introduce students to the Cartesian diver. Describes activities constituting the lesson and contexts included in the lesson. (KHR)

Discusses the importance of mathematical geometric education for engineers. Describes geometry as the basic platform to get involved with the creation of models in the forms of images which can offer an unprecedented basis for logical reasoning supported by practical applications. (Author/YDS)

Compared the performance of grade 9 mathematics students trained to use a self-explanation procedure during study of a new theorem in geometry to that of students using their usual study procedures. Results for 47 high school students reinforce the view that a self-explanation procedure can be seen as a simple but potentially powerful technique…

Uses the Paper Balloon origami form to help students discover the relationship between ratios of corresponding distance, area, and volume measures in similar solids. (YDS)

Describes the mathematics curriculum proposed by the Principles and Standards for School Mathematics (PSSM)in which students build new mathematical knowledge through problem-solving. Compares the role of PSSM problem solving with that in the 1989 curriculum standards. (YDS)

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)