This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. This module includes: (1) Pythagorean Theorem (with review of radicals); (2) Basic Coordinate Geometry (distance and midpoint, slope, slope of parallels and perpendiculars, and equation of a line); (3) Selecting Coordinates; (4) Coordinate…

This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. The purpose of this module is to teach solution of proportions, concepts and theorems of triangle similarity, solution of the Pythagorean Theorem, solution of the isosceles right triangle, and concepts involving "rep-tile" figures…

Presents a cooperative-learning lesson in which high school students visit stations equipped with different tools to establish the midpoint of a Pixy Stix, a brand of candy-filled straw. Provides solutions for two potential stations, suggestions to extend the activity, and two activity worksheets. (MDH)

Presents an attempt to combine the history of mathematics of ancient Greece with the course on theoretical geometry taught in Greek secondary schools. Three sections present the history of ancient Greek geometry, geometrical constructions using straightedges and compasses, and an application of Ptolemy's theorem in solving ancient astronomy…

Written descriptions by students in grades 3-7 (n=274) of common 2-dimensional geometric shapes were examined to compare the level descriptors of the van Hiele Theory and the SOLO Taxonomy. Results indicate that descriptors associated with the SOLO Taxonomy more accurately describe the quality of student thinking. (MDH)

This guide is support material for geometry teachers in middle schools or high schools in South Carolina. The guide describes the content of each program in the television series and suggests further learning activities for the students. The geometry that underlies the world around us is presented through applications. Contents of the series…

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)

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

At Kings River Community College, analyses were conducted of the grades and characteristics of students in Mathematics A (Elementary Algebra), Mathematics B (Plane Geometry), Mathematics C (Trigonometry), and Mathematics D (Intermediate Algebra) to determine which variables were significantly related to student success. Data were gathered on 69…

One of a series of pre-apprenticeship phase 1 training modules dealing with math skills, this self-paced student module covers computation of areas of plane figures and volumes of solid figures. Included in the module are the following: cover sheet listing module title, goals, and performance indicators; introduction; study guide/check list with…

This module, designed to help students find and identify various geometric shapes and solids, contains 26 worksheets. Topics covered by these worksheets include: identification and grouping of objects with particular patterns, work with pentagons, hexagons, spirals, and symmetry. Teaching suggestions are included. (MK)

A method was developed using a deck of cards to teach Japanese fifth graders to calculate the area of a parallelogram. Investigations with 59 male and 45 female students demonstrate the superiority of the method to that previously used in terms of recall at one week. (SLD)

Previous work has identified four areas of difficulty that students seem to have with the topic of similarity: (1) understanding the definition of similarity; (2) proportional reasoning; (3) dimensional growth relationships; and (4) correspondences in right triangle similarity. This paper reports the results of an investigation into high school…

Presents practical, teacher-tested tools and techniques based on National Council of Teachers of Mathematics (NCTM) standards for teaching mathematics. Covers Cognitively Guided Instruction (CGI) technique; story problems across the curriculum; advantages of using calculators in instruction; and manipulatives for plane geometry. Includes a chart…

Presents 5 activities for the family and K-1, 2-3, 4-5, and 6-8 grade levels that focus on the connection between mathematics and children's literature. Activities examine the mathematical concepts of sorting, classifying, geometry, estimation, averages, and measurement. Provides reproducible worksheets. (JAF)