Describes a geometry database unit for elementary classrooms in which students determine geometric attributes of a variety of shapes, and then set up a database that can be used to answer questions about the figures. Activities described include creating a database record format, simulating searches, and applying search criteria strategies. (five…

Gives a lesson plan for a mathematics activity using balloons which shows connections between the algebraic concepts of slope, linear functions, and power functions and the geometric concepts of circle, sphere, volume, and pi. Includes reproducible student worksheets. (MKR)

Presents an activity in which students draw a picture, analyze each line and curve, and write the symbolic equations represented by the graph. Includes reproducible student worksheets. (MKR)

Discusses flexible polyhedrons, called flexors, that can be bent so that the faces stay rigid while the angles between them seem to change. Presents models representing flexors and directions on how examples can be constructed. (MDH)

The experiences of elementary teachers who invited their students to verify geometric theorems prior to the introduction of protractors form the basis of a pedagogical strategy for a sequence of learning activities offered here. Discussion focuses on the students learning strategies about angle concepts utilizing the dynamic interpretation of a…

Discusses selected children's literature dealing with geometry and measurement concepts. Suggests activities for grades three through six to be used as part of a learning center or to be completed in cooperative learning groups. (MG)

Presented are activities concerning the method of graphing the equation y=kx in the Cartesian and other coordinate systems. Students progress from the graph of a straight line to the investigation of conceptually related geometric loci in non-Cartesian coordinate systems. (MDH)

In this paper, I review both mathematics education and CSCL literature and discuss how we can better take advantage of CSCL tools for developing mathematical proof skills. I introduce a model of proof in school mathematics that incorporates both empirical and deductive ways of knowing. I argue that two major forces have given rise to this…

The number of triangles having a fixed length of longest side is investigated. (SD)

A learning activity relating modular arithmetic to patterns of figures determined by points equally spaced around a circle is described. (SD)

Two students (aged 10) and a teacher described their exploratory approach to problems involved in sliding blocks games. (SD)

Geometric concepts and theorems can be discovered by high school students using the materials described. Among the topics explored are Platonic solids and Euler's formula. (SD)

Computers can be programmed to produce increasingly complex line drawings. Through programming activities students can learn the geometric principles involved. (SD)

A description is given of a geometry unit for preservice elementary teachers in which professionalized subject matter is coupled with field-based teaching experiences. Details of an inservice course in measurement also are given. (DT)