Describes origami, the oriental art of paper folding as an activity to teach upper elementary students concepts and skills in geometry involving polygons, angles, measurement, symmetry, and congruence. (PK)

Describes an enrichment activity based on the problem "Given a 2x2 square, and three colors, how many different ways can we shade the square?" (PK)

This article describes "Geopardy," a geometry version of the television game show "Jeopardy." Rules, rewards, miscellaneous suggestions and sample questions are included. (PK)

Summarizes an initial foray in tackling artificial intelligence problems using a connectionist approach. The task chosen is visual recognition of Origami objects, and the questions answered are how to construct a connectionist network to represent and recognize projected Origami line drawings and the advantages such an approach would have. (30…

Presented are four activities (each accompanied by ready-to-duplicate worksheets) dealing with: colors and shapes (grades K-2); using a coordinate grid in map reading (grades 3-4); order pairs of whole numbers (grades 5-6); and locating ordered pairs of rational numbers in the coordinate plane (grades 7-8). (JN)

Describes a project in which 11- to 13-year-old children used their LOGO programing experience to assist them in investigating a mathematical topic. Students initially drew frieze patterns on graph paper and then wrote LOGO program. Implications of the project for mathematics instruction are noted. (JN)

Discusses a computer program requiring students to find an object on a grid by using location coordinates. The program, which provides a wide range of problem-solving activities, is a highly motivating approach to hands-on metric measurement, rounding off numbers, and plotting points on Cartesian coordinate systems. Includes complete program…

The sample assessment items in this volume are sorted according to the strands of number and operations, algebra, geometry, measurement, and data analysis and probability. Because one goal of assessment is to determine students' abilities to communicate mathematically, the writing team suggests ways to extend or modify multiple-choice and…

The object of this paper is to present and analyze some observations of the language children in 1st grade (6-7 years old) use when they talk about geometrical objects. The observations are made during a number of encounters with the pupils during one year. The work is part of an ongoing collaboration project between a university college and a…

This paper presents learning tasks of a new type that are made possible by dynamic geometry software and discusses reasons why it takes time for teachers to design and use such tasks. The paper is divided into four sections: (1) The Spatial and the Theoretical; (2) Tasks in Dynamic Geometry Software Fostering the Learning of Geometry; (3) The…

In professional development, attention to both collaboration and critical thinking in the various interactive socialization processes of teaching practices should be essential strategic elements in a formative environment. This study presents contributions from the teleinteractive dynamic established in a virtual environment for the critical…

A case study is presented on what is learned by a very advanced Math student in a ninth grade class (fifteen years old, approximately). This case was obtained from an exploratory study carried out in a classroom of eighteen students when the employment of certain cultural artifacts was introduced to approach the theme of basic geometrical…

The research described in this paper was undertaken to determine student-teachers' understanding of infinity in a geometrical context. The methods of analysis of students' responses is presented and these were found to be universally applicable. The findings show that school mathematics does not generally develop the students' ideas of infinity…

The "call for change" issued by the Board of Governors of the Mathematical Association of America (MAA) in "A Call For Change: Recommendations for the Mathematical Preparation of Teachers of Mathematics, 1991" may appear at first glance to concern only the mathematical preparation of teachers. However, two ingredients combine…

This book is a collection of teaching strategies and activities for teachers of secondary mathematics. This volume is the product of a workshop that focused on student understanding of directed numbers. Suggested teaching methods include introducing the number concept, using a number line, number strips, monograms, bottle top addition and…