Five methods are given for computing the area of a regular octahedron. It is suggested that students first construct an octahedron as this will aid in space visualization. Six further extensions are left for the reader to try. (LS)

In this paper, a theory of the academic achievement process of learning is proposed. Learning is seen as the outcome of the utilization of learning opportunities created in the teaching process by students themselves. These students are characterized by a certain level of ability and effort. The theory is first formulated in a single equation…

The State Planning System (SPS) is presented in the context of a mathematical model used to generate information about the possible impacts of postsecondary education policy decisions. Section I provides an introduction to modeling in higher education management, identifies some current postsecondary education modeling efforts, offers some…

Using conventional mental test theory, item parameters of an aptitude or achievement test vary with each group of examinees, and as such are somewhat limited in their use and interpretation. Within the last 25 years, measurement models have emerged in which item parameters are considered to be invariant. Generically referred to as latent trait…

Mathematical games help students at Temple University; a mobile laboratory brings data-processing instruction to Oklahoma students; Career English helps Santa Clara students qualify for jobs. (Author/MLF)

The author describes a new graphing algorithm for computing probabilities, and presents problems for these algorithms for use in the classroom. (SD)

The use of Cuisenaire rods to illustrate finite mathematical systems is presented. (CR)

Describes and evaluates a circuitless flow model for forecasting future student attributes and enrollment projections, compared with a simple Markov chain model. Data from a study of secondary students are used to illustrate the analytical methodologies and to contrast results of the Markov chain and circuitless flow models. (JG)

This paper describes several computer-based strategies for producing secondary school schedules and presents the results of research into the feasibility of determining optimal teacher-course assignments by use of an operations research model. (Author/JG)

The applications of a recently developed computer program for microcomputers in developing models in an institutional research environment are considered. The VISICALC program requires no user programming skills, is available for all major brands of microcomputers, and provides for easy exchange of information between users of different computing…

A mastery test is frequently described as follows: an examinee responds to n dichotomously scored test items. Depending upon the examinee's observed (number correct) score, a mastery decision is made and the examinee is advanced to the next level of instruction. Otherwise, a nonmastery decision is made and the examinee is given remedial work. This…

The methods and approaches for estimating the operating characteristics of the discrete item responses without assuming any mathematical form have been developed and expanded. It has been made possible that, even if the test information function of a given test is not constant for the interval of ability of interest, it is used as the Old Test.…