Computing pi efficiently has been of great interest to mathematicians for centuries. This article presents an algorithm to solve this problem through skillful computer use. (PK)

Explains the use of the 3-dimensional analytic geometry method to find values for a field geology problem. Gives a description of the mathematical theory for this method which can be applied to data obtained by drilling as well as open surfaces, and a computer program. (RT)

The author suggests that, through using the outlined question model and suggested classroom activities, elementary students will improve their abilities to analyze routine, one-step word problems and make a plan for the solution. It is further argued that the same algorithm can be applied to multistep problems by using specified questions. (PK)

Describes a study designed to investigate the relationship between students' learning of the standard double-digit addition algorithm and basic fact mastery or numeration concepts. Results suggest basic fact mastery and knowledge of numeration concepts may not be as necessary as previously assumed to learning multidigit addition. (PK)

Presents a method of teaching two-column addition which the authors argue is based on Piaget's theory and fosters the children's own natural thinking. The method does not use objects such as straws bundled or base-ten blocks. (PK)

Discusses the use of the Rhind Mathematical Papyrus to motivate classroom activities related to computation and place value using the Egyptian number system. (PK)

Determined whether 11 third-grade children, differing in cognitive processing capacity, solve addition and subtraction word problems differently. Results, among others, show that children who differ in cognitive processing capacity also differ in strategies they use to solve the same verbal problems and differ in their success in finding correct…

Students from six fourth-grade classes were paired and randomly assigned to computer or worksheet treatments on multiplication and division. Those using computer-based drill-and-practice programs made greater gains on some tests of basic facts, but had no higher retention of algorithms. (MNS)

Discusses: (1) advantages of a computer lab; (2) types of computer programs that can help students develop computational, application, comprehension, and analytical skills; (3) how computers can help students with such affective goals as appreciation and motivation toward mathematics; and (4) content areas where computers can be useful. (JN)

Presents a laboratory experiment which determines critical temperature and density of carbon dioxide. Discusses critical point and provides equations to estimate liquid volume fraction. Analyzes experimental results in terms of variables. (JM)

Three worksheets are given that use calculators to free students from computational restrictions and allow them to focus on the recognition of patterns and the application of numeration concepts in the development of their estimation skills. (MNS)

Investigates how 104 tenth graders' fluent use of a basic numerical skill is related to their perceptions of confidence on a task of quantitative estimation. Results showed that counting skill was related not only to accuracy in estimating but also to the appropriateness of subjects' confidence. (Author/CI)

Discusses procedures used throughout history to solve fractional and decimal divisor problems. Early rules and definitions, approaches in mathematics and methods books, "new math" approaches, research findings, and recent textbook procedures are included. Concludes by presenting nine recommendations for teaching the operation. (DH)

Judgments of similarities between numbers were solicited from kindergarten, third-grade, sixth-grade, and adult subjects. Results suggested children become sensitive to an expanding set of numerical relations during the period from kindergarten through sixth grade. Results of a second study suggested that the number similarity judgments of…

The need to provide understandable problems and ways to help children understand problems are explored. An interview with a sixth grader depicts his incorrect strategies and leads to suggestions for teaching problem solving using a range of mathematical models for each operation. (MNS)