Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the…

Visualization of mathematical relationships enables students to formulate conjectures as well as to search for mathematical arguments to support these conjectures. In this project students are asked to discover the sufficient and necessary condition so that two circles form the circumscribed and inscribed circle of a triangle and investigate how…

This learning module provides students with practice in applying geometric operations to vocational agriculture. The module consists of unit objectives, definitions, information, problems to solve, worksheets suitable for various levels of vocational agriculture instruction, and answer keys for the problems and worksheets. This module, which…

Three worksheets and teachers' notes for grades 8-12 are provided on symmetry. (MNS)

This activity is designed to help students recognize and extend rectangular patterns and to use patterning to formulate rules for "nth" cases. Three worksheets are included. (MNS)

Drawing accurate regular polygons with a specified edge length is the focus of three activities. Angle measurement and related geometric concepts are reinforced with three worksheets. (MNS)

Four worksheets on shapes are provided. Identifying common shapes in objects is the focus for levels K-2; for levels 3-4, characteristics of simple closed figures and their areas; for levels 5-6, identifying geometric figures given area and finding the area; and for levels 7-8, finding areas and perimeters. (MNS)

This monograph presents geometric activities designed to foster curiosity and inquiry on the part of both students and teachers as they explore geometric ideas for 0 to 3 dimensions. Activities can be used in whole class presentation, small groups, or individual study. Grade levels span K-8. Suggested questions promote communication and sharing,…

Some activities with tangrams and their use for investigating fractions, constructions, and percentages are presented, with worksheets included. (MNS)

Cultivates a definition for the surface area of a sphere with successive approaches. The first utilizes the notion that a sphere cannot be "developed" in the mathematical sense that a cylinder can be cut, unrolled, and measured. The second considers approximations by polyhedra. The third uses Minkowski's definition to introduce the…

Five sets of activities for students are included in this document. Each is designed for use in secondary school mathematics instruction. Topics include: (1) "5-Con Triangles"; (2) "Striking Sequences"; (3) "Invariants"; (4) "On the Ball," (a geometry lesson); and (5) "Coloring Maps." These topics focus on geometric and statistical concepts. Each…

This document is part 1 of the workbook for kindergarten pupils in the Comprehensive Instructional Management System, a unified mathematics curriculum for kindergarten through grade 7. Each objective is developed by a variety of strategies, with mastery of objectives diagnosed through a testing component. The activities in the student workbook are…

Activities focus on the use of computers as an instructional tool. Three worksheets provide experiences with: perimeter and areas of squares; area of parallelograms and triangles; and properties of triangles. A Logo computer program is included. (MNS)

Outdoor mathematics is the subject of four worksheets. The activities concern pacing to determine perimeter, estimating a kilometer, area of an irregular figure, and estimating the height of a tree. (MNS)

Five activity booklets are presented for implementing Project EAGLE, an enrichment program for gifted and talented primary-level children. The first booklet, "Sound," contains four activity pages to accompany teaching of the concept that sound is transmitted through air to the ear. The "Groups 1" booklet provides nine…