A process for helping students in the elementary grades develop their own algorithms for subtraction with carrying is described. Pupils choose their own times and ways to move from manipulative materials to written notation. (MP)

This is a review of the current research in mathematics involving breadth of ideas. Research includes topics in number theory, classification of all finite simple groups, the representation of group aids in their application to the study of symmetry. (Author/SA)

Presents a plan that includes daily drills, games, and take-home papers to help fourth-graders memorize the addition, subtraction, multiplication, and division tables. (SJL)

The planning, design, and construction of a computer-assisted instructional program in pharmaceutical calculations at St. John's University College of Pharmacy and Allied Health Professions is reported. The program was designed to supplement classroom teaching by concentrating on problem solving. A sample unit of instruction is appended.…

A description is given of a calculator-oriented arithmetic course given at a community college. Problem solving was the primary objective of the course. (MK)

Four problems are presented and solutions using a calculator are illustrated. (MK)

Masters of worksheets designed to generate interest in mathematics and provide mathematical experiences that lead to the introduction of the concept of a variable are presented. (MK)

Mathematics instruction can be approached as a cognitive skill, as illustrated by these elementary-level classroom activities. (LH)

Curricular placement of and emphasis on common and decimal fractions are discussed. Suggestions include: retaining common fractions in the curriculum, teaching decimal concepts and notation earlier, reducing fraction computation complexity, and moving fraction computation upward in the curriculum. (MK)

A method is presented for determining cube roots on a calculator with square root facility that has a rapid rate of convergence. (MP)

The results of two experiments showed that five year olds can learn to solve class-inclusion problems if they are forced to consider the contradiction between their incorrect answers and their correct counting of the superordinate and subordinate classes. (JMB)

When 106 second-grade children were tested for simple computation ability in various conditions of induced physical exertion (no exertion v 20, 30, 40, or 50 minutes of activity), significantly higher scores were observed after the 50-minute treatment, and no significant differences were noted between male and female scores. (Author/RL)

Masters to be removed and copied are given. The worksheets are designed to reinforce computational skills and the concepts of largest or smallest numbers, as well as to provide practice is using a straightedge. (MK)

Suggestions are given for teaching function notation, fractional calculations on a calculator, division to relucant learners, and a probability problem. (MK)

Some materials are examined which try to cultivate skills and concepts such as estimation, approximation, significant digits, place value, and repeating decimals. Also discussed are repercussions and longer term implications on the use of minicalculators. (MP)