Describes a computer-assisted scheduling algorithm for college courses and faculty. The method considers such issues as availability of lecturers, preferred times for courses, and time conflicts. Samples of the schedules are included. (JJD)

Sixteen Brazilian third graders aged 8-13 were given problems involving multidigit computation. School-taught algorithms were likely to be used in school-taught problems, with little carry-over to real problem situations, but resulted in more incorrect answers. (MNS)

Describes a research project designed to monitor the transition from work based on concrete materials to the more formalized aspect of mathematics found in secondary schools. The topic of subtraction was chosen by three teachers who were involved in the investigation. (PK)

The ideas and techniques involved in learning about fractions were investigated with students in grades 1-12, in the first 3 years of colleges, in community college mathematics courses, and in graduate school. Also included were some high school mathematics teachers, some mathematicians, and some retired persons. Part I provides the rationale and…

Eight sixth-grade students received individualized instruction on the addition and subtraction of fractions in a one-to-one setting for 6 weeks. Instruction was specifically designed to build upon the student's prior knowledge of fractions. It was determined that all students possessed a rich store of prior knowledge about parts of wholes in real…

Reports on a study into the problem solving abilities of students in a Jamaican high school who were intentionally taught problem solving strategies during one-sixth of their mathematics instruction for one academic year. Results indicated no significant increases in their performance on a problem solving test. (TW)

Investigates children's behaviors and conceptual achievements in the transition from informal calculation strategies to a written division algorithm. Describes five different strategies observed in the solution of division problems. Discusses the implications of the children's behavior. (YP)

Described is a computer algorithm for obtaining the coordinates of vertices, chord factors, and dihedral angles for plotting orthographic and axonometric projections, and for tabulating chord lengths and dihedral angles. (Author)

Investigates high school students' understanding of the physical relationship of chromosomes and genes as expressed in their conceptual models and in their ability to manipulate the models to explain solutions to dihybrid cross problems. Describes three typical models and three students' reasoning processes. Discusses four implications. (YP)

Quantifies and confirms subjective impressions of similarity and differences in musical monophonic scores. Adapts concepts from sequence comparison theory and uses algorithms to define distances between any two melodies created by tone and rhythmic structure. Presents and applies a generalized algorithm for identifying locally similar portions in…

This paper presents an examination of the construction of logic in multidigit subtraction. Interviews were conducted with 90 grade 2 and grade 3 students to determine whether they understood the logic of borrowing and whether the construction of the logic was related to procedural expertise or corresponding conceptual knowledge. Of 34 students…

Reports on a study in which two spatial tests were given to science and engineering majors and to students in nursing and agriculture at Purdue University (Indiana). Scores from the tests consistently contributed a small but significant amount of success on measures of performance in chemistry. (TW)

Computational strategies and estimating abilities of 466 Japanese students were tested and interviews with a subsample of that group were used to compare with a theoretical model based on a sample from the United States. Results of the comparison of computational and estimating abilities are presented. (CW)

Seventh-grade students were tested to uncover arithmetic errors. Answers and intermediate steps were analyzed and models to represent students' behavior were developed. Certain errors were common across students. Others were tied to the format of the test item. Some superficial understandings of mathematical concepts were exposed. (Author/DC)

Reports on a study which examined the relationship between spatial ability and performance in organic chemistry. Results indicated that students with high spatial scores did significantly better on questions requiring problem solving skills, as well as on those requiring the mental manipulation of two-dimensional representations of a molecule. (TW)