Four discussions of test construction based on item response theory (IRT) are presented. The first discussion, "Test Design as Model Building in Mathematical Programming" (T. J. J. M. Theunissen), presents test design as a decision process under certainty. A natural way of modeling this process leads to mathematical programming. General…

The results of six major projects are discussed including a comprehensive mathematical and statistical analysis of the problems caused by errors of measurement in linear models for assessing change. In a general matrix representation of the problem, several new analytic results are proved concerning the parameters which affect bias in…

Applied mathematics is seen often to involve the solution of single equations or systems of equations. A particular technique for solving equations in the context of functions on the real line is examined. This technique includes an iterative process, which is viewed as an algorithm that can be implemented readily on inexpensive and widely…

This module is designed to apply mathematical models to nuclear deterrent problems, and to aid users in developing enlightened skepticism about the use of linear models in stability analyses and long-term predictions. An attempt is made at avoiding overwhelming complexities through concentration on land-based missile forces. It is noted that after…

This material contains two units which view applications of computer science. The first of these examines Horner's scheme; and is designed to instruct the user on how to apply both this scheme and related algorithms. The second unit aims for student understanding of standard bisection, secant, and Newton methods of root finding and appreciation of…

This student textbook is designed to incorporate programable calculators in grade 12 mathematics. The seven chapters contained in this document are: (1) Using Calculators in Mathematics; (2) Sequences, Series, and Limits; (3) Iteration, Mathematical Induction, and the Binomial Theorem; (4) Applications of the Fundamental Counting Principle; (5)…

The instruction of finger counting and finger calculation, also known as Chisanbop, is promoted as a natural method of introducing and teaching the basic processes of addition, subtraction, multiplication and division to children, particularly to those who are mentally and physically handicapped. The sequential process for teaching finger…

An earlier study was extended and replicated to examine the feasibility of generating multiple-choice test questions by transforming sentences from prose instructional material. In the first study, a computer-based algorithm was used to analyze prose subject matter and to identify high-information words. Sentences containing selected words were…

These are some of the individual materials needed by students using the Comprehensive School Mathematics Program's Mathematics for the Upper Primary Grades, Part III. The book of "Worksheets" contains materials that are labeled with the same letter and number as the lessons with which they are to be used. The booklets "Festival of…

THE PAPERS IN THIS VOLUME--CATEGORIZED AS EITHER (1) AUTOMATIC ANALYSES OF NATURAL LANGUAGES, (2) STATISTIC AND SEMANTIC ANALYSES OF LINGUISTIC DATA, OR (3) ALGEBRAIC THEORIES OF LANGUAGES--ARE THE COLLECTIVE PRODUCT OF THE INTERNATIONAL CONFERENCE ON COMPUTATIONAL LINGUISTICS HELD AT GRENOBLE, FRANCE, AUGUST 23-25, 1967. TOPICS RANGE FROM…

This bibliography lists 86 references, most of which are annotated, to papers and journal articles on computer assisted learning (CAL) in the Soviet Union. Topics dealt with include problem solving models, decision strategies, programmed instruction, algorithms, simulation, educational games, databases, and testing. The references have been…

An aptitude-strategy interaction in linear syllogistic reasoning was tested on 144 undergraduate and graduate students of both sexes. It was hypothesized that the efficiency of each of four alternative strategies--control, visual, algorithmic, and mixed--would depend upon the subjects' pattern of verbal and spatial abilities. Two tests of verbal…

THE EFFECTIVE AND ECONOMICAL USE OF COMPUTER FACILITIES AS AN AID IN TEACHING SECONDARY SCHOOL MATHEMATICS DEPENDS ON (1) ACCESS TO A TYPE OF FACILITY WHICH PERMITS PROBLEM-SOLVING PROCEDURES (I.E., ALGORITHMS DESIGNED BY A STUDENT) TO BE TESTED BY THE STUDENT AND (2) FACILITY RESPONSE TIME PER PROBLEM. THIS UNIT TIME VARIES WITH THE SIZE, TYPE,…

The author has compiled these papers in an attempt to show (1) the relevance of programed learning research for language teaching, (2) how better materials for the language laboratory can be developed, and (3) how the language laboratory can be used more efficiently. The first part of this two-part volume contains papers on programed learning in…

Most responses to educational and psychological test items may be represented in binary form. However, such dichotomously scored items present special problems when an analysis of correlational interrelationships among the items is attempted. Two general methods of analyzing binary data are proposed by Horst to partial out the effects of…