This document is a collection of activity-based mathematics lessons for grades K-4 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…

Demonstrates how mathematics is a changing science through an in-depth look at the history of the development of logarithms. Serves as a reminder to continue to remember and appreciate the efforts and contributions of past mathematicians. (KHR)

Discusses the geometrical array of the keys on a calculator that can be turned into a problem-solving, problem-posing situation for the upper elementary or middle school classroom. Provides figures showing the arrays, including rows, diagonals, crosses, rhombi, angles, and squares. Lists seven references. (YP)

Presents two practice-discovery activities to furnish computational review in a nonroutine setting. Provides a worksheet for the activities. (YP)

Presented is a method of teaching adding and subtracting as an interrelated series of patterns using a number line. Examples of the use of this method as well as the materials necessary are discussed. Applications of the method to multiplication and division are given. (CW)

An activity for grades 6-10 designed to allow students to explore a hundred chart to discover patterns is presented. Discussed are materials, objectives, and procedures. Three worksheets with answers are provided, and an extension activity is suggested. (CW)

This guide emphasizes the areas of elementary level mathematics, architecture, and visual arts and gives secondary emphasis to language arts/English and creative writing. The major goals are to develop an understanding of how the arts can enhance mathematical concepts, to describe mathematical qualities through the application of the arts, and to…