This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…

This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…

There is a need for a new kind of linguistic theory which, while being concerned with both generation and analysis, must include the roles of memory, non-linguistic knowledge, and inference. The role of logic is diminished according to such a theory because inference has no real logical content. Meaning must be studied with respect to the actual…

This paper describes a teaching method, presently in the experimental stage, that advocates the use of a programed instruction model in the language laboratory, with students working in homogeneous groups of three. The author describes the technical construction and operation of the language laboratory which allows three students to work together…

Defines M-demand as the maximum number of schemes that the subject must activate simultaneously in the course of executing a task. Discusses the effect of M-demand on problem solving. Uses algorithms to reduce M-demand. Describes the role of algorithms in problem solving. (MVL)

Describes the Plane Geometry System computer software developed at the Educational Computer Systems laboratory in Sofia, Bulgaria. The system enables students to use the concept of "algorithm" to correspond to the process of "deductive proof" in the development of plane geometry. Provides an example of the software's capability…

Explains human interactive analysis as an architecture for using computer interactive technologies in the analysis of complex work environments. A project at the Naval Training Systems Center that used video-audio data to develop a multimedia database is described; the analysis and management of data are discussed; and decision processes are…

Examines the issue of how calculators and computers can best be used in mathematics education. Contends that practicing a procedure is noncognitive and does not produce learning. Suggests utilizing customized computerized tools in schools for getting answers to algorithmic problems instantly, thus allowing teachers to explain and students to…

A three-level multivariate statistical modeling strategy is presented that resolves the question of whether the unit of analysis should be the teacher or the student. A reanalysis of U.S. high school data (51 Catholic and 59 public schools from the High School and Beyond survey) illustrates the model. (SLD)

Recent experience with the Computerized Adaptive Test (CAT) has raised a number of concerns about its practical applications. The concerns are principally involved with the concept of having the computer construct the test from a precalibrated item pool, and substituting statistical characteristics for the test developer's skills. Problems with…

The technology of transforming sentences from prose instruction into test questions was examined by comparing two methods of selecting sentences (keyword vs. rare singleton), two types of question words (nouns vs. adjectives), and two foil construction methods (writer's choice vs. algorithmic). Four item writers created items using each…

This paper focuses on mathematics education in Technical and Vocational Education (TVE) in West Germany. The "dual system" of TVE, a part-time college/part-time on-the-job training scheme that normally leads to a certificate of a qualified worker after three years, is reviewed. Entrance tests for the trainee posts focus heavily on aspects of…

This booklet was written to provide elementary-school teachers with an overview of some of the research results related to the development of computational skills, together with ideas for classroom activities which have grown out of research projects. The booklet is organized into twelve sections, the first of which is devoted to delineating the…

Twenty multiple-choice vocabulary items and 20 free-response vocabulary items were administered to 660 college students. The free-response items consisted of the stem words of the multiple-choice items. Testees were asked to respond to the free-response items with synonyms. A computer algorithm was developed to transform the numerous…

The final part of a four-part report of research on the development of a computerized, phrase-structure grammar of modern Hebrew describes the computerized algorithm for analyzing the sentences generated based on a complex-constituent-phrase structure grammar. The first section here discusses a structural model for modern Hebrew; the second…