This bridge study evaluated the effects of contingency-specifying instructions (CSIs) and incomplete instructions (IIs) in terms of establishing instructional control of appropriate behavior. Results suggested that instructional control and maintenance were achieved with CSIs but not with IIs. Results are discussed in terms of the potential use of…

This problem deck contains over 150 problems related to the module "Using Tables to Solve Problems." The problems are presented at five levels of difficulty and contain four basic types of two-dimensional tables: (1) constant sum; (2) constant differences; (3) constant quotient or ratio; and (4) constant product. (MP)

Problems short on computation and long on logical thinking are suggested for development of logical thinking. A set of such problems is presented. (MP)

As part of the Mathematical Problem Solving Project, MPSP, the goals and purposes of miniprojects are explored. Various conjectures are presented which are based partially upon observation of children working on projects and partially upon the opinions of mathematicians who have observed how problem-solving processes are used in real-world…

These student worksheets include activities in counting, place value, estimation, the four operations with whole numbers, number patterns, volume, inequalities, decimal equivalents of fractions, and percents, all to be worked with a calculator. (MP)

Five different ways are outlined in which calculators can be used to develop a student's ability: (1) to solve problems which use real-world data; (2) for solving a greater number of standard word problems; (3) for using different approaches to solve problems; (4) for extending problem situations; and (5) for using the calculator in an…

This teaching guide presents six lessons on using tables to solve problems. For each lesson, the guide gives the purpose, the rationales, materials, and detailed teaching procedures. The six lessons involve making a table, completing a table, using tables to solve problems (lessons 3 and 4), reading tables, and solving problems. Each lesson opens…

Many problems and activities which can be worked with a calculator are contained in this booklet. The problems include: pattern recognition, combinations of operations, estimation, squares and square roots, rate problems, area, and volume. Chapter topics include: getting to know the calculator, single-step problems, using formulas, and…

The purpose of this study was to find out what difficulties Nicaraguan children encounter in doing addition and subtraction exercises. The results were used in the design of radio lessons in mathematics for elementary school. The performance on addition exercises is analyzed with a view toward identifying the distinct skills that are required by…

Teaching the mathematical concepts of greater than and less than without their mathematical symbols is discussed. (JT)

An overview of the Mathematical Problem Solving Project, MPSP, is given. The goals, organization, and history of the project are described and the progress toward those goals is discussed. The outcomes of the project are stated, a brief diary of activities given, and a listing of technical reports made. (MP)

Criteria are listed for identifying a problem. Several suggestions are made for encouraging students to view problem solving in a positive manner and for helping them to develop an awareness of existing processes in problem solving. (JT)

Five reasons are discussed for teaching estimation involving utility, problem solving, concept formation, calculations, and attitude. Specific types of estimation are analyzed and examples given. (MP)

One activity concerned with describing data about students in the class and a second activity based on students' original story problems are discussed. (DT)

Two methods of solving problems are discussed: the step method and the translation method. The results of training students to use these methods are compared. (SD)