Presents a geometry exercise which is designed to help students create three-dimensional clay figures, think in three dimensions, and develop vocabulary. Reproducible worksheets are included. (PK)

Presents a lesson in which students communicate verbally and in writing to create and describe geometric transformations, develop vocabulary, demonstrate ability to give unambiguous instructions to translate a triangle, form and test conjectures, and create extensions of problems. Includes reproducible student worksheets and questions for…

Suggests one possible way to combine the technological facility of the computer with students' natural abilities for concept formation. Describes the software the "Geometric preSupposer." (PK)

In this article, the author offers two well-known mathematical images--that of a dot moving around a circle; and that of the tens chart--and considers their power for developing mathematical thinking. In his opinion, these images each contain the essence of a particular topic of mathematics. They are contrasting images in the sense that they deal…

This is one of a series of student booklets designed for use in a bilingual mathematics program in grades 6-8. The general format is to present each page in both Spanish and English. The mathematical topics in the booklet include points, lines, planes, space, angles, and intersection and union of sets. (MK)

Includes patterns for and a brief discussion of the polyhedra: octahedron, tetrahedron, dodecahedron, cuboid, prism, and star. (PK)

Presents activities which use graphing calculators to explore parametric equations of spirals, circles, and polygons. (MKR)

Describes an activity for children of any age to develop spatial sense and explore the effects of transforming, combining, subdividing, and changing geometric figures. Students analyze empty cereal boxes opened flat to determine the specific shape, how it opens and closes, to check maps or sketches against the actual geometry of the box, and write…

Considers the problem of how to go from three coordinates to two. States that it is not a problem that mathematics students ordinarily encounter. Presents four methods of graphing three-dimensional figures on a two-dimensional computer screen. (PK)

Presented is a method of reorganizing a high school geometry course to integrate coordinate geometry together with Euclidean geometry at an earlier stage in the course, thus enabling students to prove subsequent theorems from either perspective. Several examples contrasting different proofs from both perspectives are provided. (MDH)

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)

The purpose of this report is to examine results in mathematics for the ACT Educational Planning and Assessment System (EPAS) in schools nationwide. EPAS consists of three programs: EXPLORE[R] (for students in grade 8 or 9), PLAN[R] (for students in grade 10), and the ACT[R] test (for students in grade 11 or 12). The following questions are…

Students mainly perceive the transition to secondary school as an opportunity to start their school career anew. Reality often proves them wrong, especially in the case of mathematics. In our paper, we briefly discuss children's transition to secondary school as both an opportunity and a problem, with reference to the Greek context. In discussions…

This action research project was aimed to improve geometry students' achievement and the retention in a suburban public high school over a one-year implementation cycle. The curricular design was influenced by Dweck's (2006) theories of growth mindset, educational standards, and directives outlined by the National Council of Teachers of…

This booklet is a collection of the papers presented at a joint session of the Mathematical Association of America and the National Council of Teachers of Mathematics during the fiftieth annual meeting of the MAA. These papers were presented under the headings of "Geometry and School Mathematics,""High School Geometry," and…