Presented are two exercises on the differential geometry of curves. A generalization dealing with smoothness conditions is given that relates the two exercises. Included are the definitions, theorems, propositions, and proofs. (KR)

Described is computational geometry which used concepts and results from classical geometry, topology, combinatorics, as well as standard algorithmic techniques such as sorting and searching, graph manipulations, and linear programing. Also included are special techniques and paradigms. (KR)

Presented is a concrete, realistic way of representing concepts of coordinate geometry. Students represent the coordinates in a living version of a five-by-five square geoboard. Procedures and examples for using this activity are included. (KR)

Explains how teachers can use graphs and graphing concepts when teaching art, language arts, history, social studies, and science. Students can graph the lifespans of the Ninja Turtles' Renaissance namesakes (Donatello, Michelangelo, Raphael, and Leonardo da Vinci) or world population growth. (MDM)

The article discusses strategies for parents to help their children improve math skills. It examines graphing skills and looks at three types of graphs (line graph, bar graph, and pie chart). Various simple activities illustrate what all scientists and mathematicians do when conducting experiments or developing mathematical models. (SM)

Outlines a demonstration lesson showing third graders how to make and interpret graphs. Includes descriptions of purpose, vocabulary, and learning activities in which students graph numbers of students with dogs at home and analyze the contents of M&M candy packages by color. Argues process helps students understand large amounts of abstract…

Presents 24 activities related to the theme of area to illustrate how algebra can empower students, not impede their progress. Activities use grid tools, manipulatives, computational tools, and paper-and-pencil tools to facilitate access, discourse, independence, and multiple representations. Well-chosen themes offer connections, motivation,…

This article describes an activity in which students plot collections of ordered pairs according to prescribed set conditions. The coordinate plane sets can have rich variety, and their construction fosters critical thinking, attention to detail, and algebraic reasoning. (Contains 3 figures.)

This document is a collection of activity-based mathematics lessons for grades 5-8 from the "Ideas" department in "Arithmetic Teacher: Mathematics Education through the Middle Grades." Each lesson includes background information, objectives, directions, extensions, and student worksheets. A matrix is included which correlates…

This booklet offers teacher instructions and student worksheets on number activities for gifted primary grade students. Three sections are included: (1) "moving numbers" which asks students to supply the missing member or members of addition and subtraction equations; (2) "number trails," which involve the completion of number…

This document consists of 51 articles (originally published in the "Arithmetic Teacher") which provide teachers with ideas for manipulative aids and activities. Guidelines used to select articles for this collection called for them to have a clear purpose and be related to a contemporary topic in the elementary school mathematics curriculum, to…

This module, one of 25 on vocational education training for careers in environmental health occupations, contains self-instructional materials on preparing data for analysis. Following guidelines for students and instructors and an introduction that explains what the student will learn are three lessons: (1) constructing a table by organizing data…

Prepared for use with thirteen modules (CE 025 468-480) in the Unified Technical Concepts postsecondary physics instructional package, this set of eight support modules is designed to strengthen mathematical and laboratory skills in areas such as units, graphing, logarithms, dimensional analysis, and basic trigonometry. Module titles include…

Using the methods described, pattern representation of operations in modular systems can be developed. (SD)

Argues that primary grade level teachers must provide activities which promote thinking skills before expecting achievement in map, globe, and graphing skills. Provides examples of activities which may be used to promote the basic thinking skills which underlie all school work. (JDH)