In this paper we consider an experiment in which 15 years old students explore a phenomenon of covariance, by using Cabri for drawing geometric figures, measuring, and sketching graphs. In this way they collect different types of information. A first research question is how students deal with them in situations of exploration, in particular,…

The physics learning problem that students usually regard equations and other symbols in physics as algebraic exercises rather than representations of real world phenomena is commonly known. This article discusses how the Web-based interactive instructional materials were used to help students connect the symbolic world and the real world. The…

Among teachers of mathematics throughout the world there has recently been manifested a notable increase of interest in all educational work. This interest is due in part to the present general agitation in every educational line, in part to the influence of such related departments as physics, in part to the increased demands of industry, and in…

The study presented in this bulletin is based on the analysis of the requirements for the bachelor's degree of 101 universities and colleges in the United States, including Hawaii and Puerto Rico. The first chapter contains a brief summary of the history of entrance and college graduation requirements for the bachelor's degree with special…

The aim of this study is to present data concerning school-board organization, administration, and supervision in cities of more than 25,000 population. The data have been compiled from replies to questionnaires addressed to superintendents of schools and to secretaries of school boards. A sufficient number of replies have been received to make it…

The rapid increase in the number of books published in the United States, especially during the past decade, has been the subject of much comment. Statistics are collected regularly by the trade papers, and these figures give the number of books for each year in each of several well-defined classes. There are at the present time 24 classes: as…

The activity provides practice plotting points in the Cartesian plane, develops inductive skills in pattern recognition, develops verbal and translation skills, and acquaints students with some properties of linear relations. Three worksheets are included. (MNS)

Discusses the limitations of crossnational comparisons of secondary student performance in the U.S. and selected European and Pacific industrial countries, using mathematics and science data from the International Assessment for the Evaluation of Educational Achievement (IEA). Suggests the most serious problem is the rise of a new educational…

An approach to teaching multiplication and division with negative numbers that focuses on graphs to illustrate concepts is revealed. The material and problems used are presented with comments on the teaching methods applied with 11-year-olds. (MP)

Some aspects of a study designed to illustrate relations between the size of units and their teaching, research and service outputs, or the structure of their resources are presented. Resources and outputs were measured by total expenditure, hours of teaching, publications, citations, etc. Size was defined by expenditure on staff. (Author/MLW)

Asserts that legal mandates increase the probability that postsecondary instructors will have blind and visually impaired students in their classrooms. The graphical and symbolic notations used in economics courses present special problems for these students. Recommends and describes the usage of tactile graphs and raised line drawings. (MJP)

Discusses some of the challenges faced by blind and visually impaired students, and some of the tools available to help these students in their efforts to learn mathematics. Argues that much of the language of mathematics relies heavily on visual reference. (DDR)

Describes the results of a teacher's exploration of the effects of using graphing calculators in calculus instruction in sections other than those that are experimental. Two experimental and two traditional sections of Calculus I and II participated in the study. (DDR)

Described is an activity in which students calculate constant velocity using a tape cassette player. The objectives, procedures, graphing directions, and formulas and values needed for the calculations are included. (KR)

Described is an activity that uses discarded evergreen trees from Christmas. Tree age and growth characteristics are investigated by looking at the number of whorls and rings of the trunks. Extensions and follow-up activities are included. (KR)