This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…

This unit is designed to acquaint elementary students with the way a computer operates and the way people communicate with computers. The format of the unit was designed so that the instruction can be provided by the classroom teacher. The lessons are constructed so that, with some teacher guidance, the students can work through them step by step.…

This document was initiated with the collection of 150 questions in telephone interviews of a national sampling of junior high school and high school teachers. A Mathematics Consultant Panel reviewed the questions, and selected topics were developed, for which there were research bases for answers. The material covers: (1) Effective Mathematics…

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…

Three sequences of coursework are detailed in the curriculum development guidelines provided in this document. The 4-year sequence, structured around problem-solving, applications, and the acquisition of theory, is designed for the college-bound student who plans to enter a mathematics-based field of study. The 3-year sequence is designed for…

Pascal's Triangle is an important numerical table; with its help, a number of computation problems may be solved. Some of these problems are examined and the question of what"solving a problem" can mean is generally considered. (Author/MK)

The product of a Special Studies Institute, this teacher developed resource guide for the emotionally handicapped (K-6) presents 37 activities designed to develop mathematics concepts and skills utilizing the urban out-of-doors. Focus is on experiencing math models, patterns, problems, and relationships found in an urban environment. Activities…

This document is a compilation of abstracts of 28 research papers presented at the 52nd Annual Meeting of the National Council of Teachers of Mathematics. The major portion of the reports concerned methods of instruction; nine were related to college mathematics, ten on secondary school mathematics, and two at the elementary school mathematics…

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…

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…

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…

This book introduces journal-writing prompts in mathematics for geometry. Content prompts, attitudinal or affective prompts, and process prompts are presented. Each of the content prompts relates or connects topics within and outside of mathematics, targeting important or meaningful concepts and skills. The content prompts also provide situations…

Presents an activity in which students were required to develop their own house plans, including finding the perimeter of the lot and house and calculating the total area of the house. (ASK)

Studied the influence of authentic contexts and self-made graphical representations on students' well-documented tendency to apply the linear model improperly in representing and solving nonproportional word problems. Findings for 152 Flemish 8th graders and 161 10th graders do not show the expected effects; in fact, these forms of help had…

Presented is an example of a question that can be used to investigate probability and random triangles. Included is the question, analysis, and procedure for solving the question. (KR)