The dual purpose of this study was (1) to design instruction in problem representation and solution of algebraic word problems in order to improve the algebraic problem solving skills of learning disabled (LD) adolescents; and (2) to devise and evaluate the effectiveness of instructional procedures for teaching LD adolescents to represent and…

These sample problems, exercises, questions, and projects were compiled to supplement the guide for the Manitoba course Mathematics 301 in order to assist teachers in implementing the program. Arranged according to the modules of the course guide, they are coded to the objectives of the program. Review exercises follow either the subtopics within…

This study investigated several aspects of a teaching experiment which focused on five seventh grade students' performance on nonroutine number theory problem-solving with a close look at the role of heuristics, concrete models, and the relationships between these variables. In the experiment, students were given a series of lessons on number…

This monograph presents 13 papers dealing with various aspects of elementary problem solving. They are: (1) "Training for Effective Problem Solving" (Gary A. Davis); (2) "Patterns of Problem Solving--A Campus-Wide Course at UCLA" (Moshe F. Rubinstein, L. Robin Keller, Edward A. Kazmarek); (3) "A Taxonomy of Problem-Solving Activities and Its…

The papers presented in these proceedings are organized into seven categories: (1) number and number operations (13 papers); (2) spatial representation and geometrical understanding (10 papers); (3) developing and/or using models of mathematical learning (15 papers); (4) mathematical concept formation (17 papers); (5) the mathematical learning…

This compilation of reprinted activities is organized into five sections around the following topics: computational skills, calculators, geometry, measurement, and problem solving. The "Activities" section has been a regular feature of the Mathematics Teacher since 1972, and space limitations prohibited the inclusion of all previously published…

This document is written for middle school teachers of grades five through nine who do not have specialized backgrounds in geometry. It is arranged in three parts. The first part provides a brief overview of the geometry curriculum of the middle school that includes the present state of affairs, a rationale for inclusion of geometry in the…

Presented is the teacher's guide to the "Measuring in Metric" supplementary mathematics textbook. The material begins with a list of 29 student objectives. The booklet and student text limit exploration to the units of measurement for length, capacity, mass, temperature, area, and volume, with only the following prefixes considered: kilo, hecto,…

Behavioral objectives are listed for the primary, intermediate and junior high mathematics curriculum in the Mesa Public Schools (Arizona). Lists of specific objectives are given by level for sets, symbol recognition, number operations, mathematical structures, measurement and problem solving skills. (JP)

Provides an annotated list of references for educators on using computers in the classroom and for researchers in gathering background materials for the preparation of articles, grant proposals, and presentations. Focuses specifically on probability and computers. (ML)

Described is a project in a third grade class in which problem-solving skills are developed through activities with patterns. Activities for growing picture patterns, making number tables, and developing open sentences or formulas are discussed and illustrated. (MNS)

This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. It represents a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures-- thus "experience mathematics." This edition will educate the teacher…

This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. Experiencing Mathematics, is a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures--thus "experience mathematics." The relevant nature of the…

This publication focuses mainly on research designed to improve adolescents learning of mathematics. Sometimes it provides insights into interventions to help all students learn more mathematics and sometimes special interventions that focus on the particular needs of nonproficient mathematics students. However, no intervention should diminish the…

Cross-national studies in mathematics have consistently reported that U.S. students do not perform as well as Asian students on tasks requiring the application of mathematical knowledge and skills routinely learned in school. Recent studies have shown, however, that for tasks assessing relatively novel and complex problem solving, performance…