This paper discusses an alternate formalism for context-free phrase structure grammar. The author feels that if a grammar is stated completely explicitly it can be represented in the form of a relational network of the type proposed by Lamb. He discusses some formal properties of such networks and makes some revisions to Lamb's formulation which…

Multivariable queries can be processed in the data base management system INGRES. The general procedure is to decompose the query into a sequence of one-variable queries using two processes. One process is reduction which requires breaking off components of the query which are joined to it by a single variable. The other process,…

Human words must be rapidly recognized by a computer system designed to maintain an interactive dialogue with humans. This paper discusses features of the PLATO IV-TUTOR system which facilitates the matching of words and concepts offered by students to those proposed by lesson authors. The first section examines a word recognition algorithm that…

Criteria were developed for deciding the fraction of course attendance time that students should spend on a computer-assisted instruction (CAI) course in order to maximize the average final achievement of the class, subject to constraints on the probability of individual student failure and on the available console capacity. The major elements of…

The study's purpose was to investigate the differential effects on the achievement of second-grade students that could be attributed to three instructional sequences for the learning of the addition and subtraction algorithms. One sequence presented the addition algorithm first (AS), the second presented the subtraction algorithm first (SA), and…

Investigated was the development of a diagnostic and individualized remedial program for prospective elementary teachers in the area of mathematical skills. Subjects were 120 students in the pre-methods course on number systems during the Winter and Spring 1971 terms at the Ogontz Campus, Pennsylvania State University. All subjects were given a…

Gradient methods are employed in orthogonal oblique analytic rotation. Constraints are imposed on the elements of the transformation matrix by means of reparameterisations. (Author)

The study was concerned with the formation of grouPs of students and specifically addressed the problem: Can a computerized Procedure be developed which assigns students to instructional groups, which maximizes the homogeneity of these groups when this homogeneity is based on relevent student learning characteristics, and which takes account of…

An alternate method for factoring quadratic equations is presented as being quicker and easier to use than the trial-and-error method. (MP)

A concrete approach to subtraction problems with minuends to 19 is presented. (MP)

A comparison of four methods of finding the maturity value of the principal is presented. The four methods are: table, period-by-period iterative calculation, formula, and Binomial Theorem. (MP)

An algorithm for long division is presented that involves only addition and subtraction. (MP)

The calculator is used to solve certain formidable equations, which arise naturally and which may be difficult or impossible to solve by standard methods, by a method of successive approximations. (MP)

The benefits of utilizing text compression for CAI are evaluated, and an analysis of core storage, decoding, and CPU time are presented for the PDP-10 system. (RAO)

The long division algorithm approached as repeated subtractions is explained. (DT)