This project was concerned with the development of mathematical models of elementary mathematics learning and performance. Probabilistic finite automata and register machines with a finite number of registers were developed as models and extensively tested with data arising from the elementary-mathematics strand curriculum developed by the…

A STUDY WAS UNDERTAKEN TO EXPLORE IN A QUALITATIVE WAY THE POSSIBLE UTILIZATION OF COMPUTER AND DATA PROCESSING METHODS IN HIGH SCHOOL EDUCATION. OBJECTIVES WERE--(1) TO ESTABLISH A WORKING RELATIONSHIP WITH A COMPUTER FACILITY SO THAT ABLE STUDENTS AND THEIR TEACHERS WOULD HAVE ACCESS TO THE FACILITIES, (2) TO DEVELOP A UNIT FOR THE UTILIZATION…

THE OBJECTIVES, PROCEDURES, AND USE OF RESOURCES THAT CHARACTERIZE THE MATHEMATICS DEPARTMENT AT THE GARBER HIGH SCHOOL AT ESSEXVILLE, MICHIGAN, WERE DESCRIBED IN THE SECOND OF A SERIES OF THREE REPORTS. THE MAJOR OBJECTIVES WERE (1) TO PROVIDE ALTERNATE VERSIONS OF THE FUNDAMENTAL SUBSTANTIVE AREAS TO ACCOMMODATE SEVERAL LEVELS OF STUDENT…

Help to teachers for including discussion and investigations into their teaching, as recommended by the Cockcroft Report, is provided. Three algebra lessons are described as a way of getting started, and the degree of balance among teaching styles is discussed. (MNS)

A brief overview is given of a research project funded to investigate the cause and cure of errors in ratio and proportion, algebra, and fractions. Choosing pertinent information, interviewing students, listing significant features, developing lessons, and testing the materials are considered. (MNS)

Developing assessment measures so that the ratings for assignments across teachers will be similar was the goal. What was learned from testing and how valid and relevant assignments might be produced and recognized are described. Survey results are included. MNS)

The article recounts a conversation with preschool students about calculators. The author found the children to be familiar with calculators. Also, the Calculator and Mathematics Project, Los Angeles (CAMP-LA), a project which assumes every child has a calculator, is briefly described. (PK)

The study investigated children's ability to write number sentences for simple addition and subtraction word problems. The results suggest that open number sentences may provide mathematical symbolism that allows young children to build on informal strategies for presenting and solving simple word problems. (Author/PK)

Considers the problem of constructing Venn diagrams for more than three sets. Presents an unusual geometric display of a Venn diagram for five sets. (PK)

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)

This article illustrates how questions from elementary finance can serve as motivation for studying high order powers, roots, and exponential functions using Logo procedures. A second discussion addresses a relatively unknown algorithm for the trigonometric exponential and hyperbolic functions. (PK)

The article discusses the use of computers to teacher college level mathematics. In particular, the Gaussian elimination procedure for solving a system of n linear equations in n unknowns, using a computer, is examined. (PK)

Presents ideas that are intended to convey new insights on familiar topics and to enhance pedagogy. The mathematical topics addressed are applications of transformations to numerical integration, the golden ratio, Cramer's rule, a counting problem, and the general form of the arithmetic-geometric mean inequality. (PK)

A teacher describes her experiences using "mathematics across the curriculum" problem solving activities with 12- and 13-year-old students with moderate to severe learning difficulties. She concludes that the experience of real problem solving is an approach that has great potential for use with special need students. (PK)