Latent class models for mastery testing differ from continuum models in that they do not postulate a latent mastery continuum but conceive mastery and non-mastery as two latent classes, each characterized by different probabilities of success. Several researchers use a simple latent class model that is basically a simultaneous application of the…

Results of the most recent administration of the National Assessment of Educational Progress (NAEP) suggest that the majority of secondary students believe in the independence of random events. In the study reported here, a high percentage of high school and college students answered similar problems correctly. However, about half of the students…

This curriculum guide is an adaptation for students who need to proceed more slowly with new concepts and who also require additional reinforcement. The materials have been designed to assist the teacher in developing plans to be utilized in a variety of classroom settings. The guide can be used to develop both individual and group lessons. In…

The present study was an attempt to alleviate some of the difficulties inherent in multiple-choice items by having examinees respond to multiple-choice items in a probabilistic manner. Using this format, examinees are able to respond to each alternative and to provide indications of any partial knowledge they may possess concerning the item. The…

Eighteen research reports related to mathematics education are abstracted and analyzed. Four of the reports deal with aspects of learning theory, five with topics in mathematics instruction (history of mathematics, exponents, probability, calculus, and calculators), four with teacher characteristics, and one each with testing, student interests,…

Two fundamental problems in mental test theory are to estimate true score and to estimate the amount of error when testing an examinee. In this report, three probability models which characterize a single test item in terms of a population of examinees are described. How these models may be modified to characterize a single examinee in terms of an…

This study guide is part of an interdisciplinary course entitled the Science and Engineering Technician (SET) Curriculum. The course integrates elements from the disciplines of chemistry, physics, mathematics, mechanical technology, and electronic technology, with the objective of training technicians in the use of electronic instruments and their…

This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include real numbers, similar triangles, variation, polyhedrons,…

INFORMATION AND DECISION THEORY OFFERS A COHERENT FRAMEWORK FOR SECONDARY SCHOOL GUIDANCE BECAUSE IT--(1) ESTABLISHES OBJECTIVES, (2) DETERMINES APPROPRIATE PRACTICES, (3) SELECTS AREAS OF RESEARCH, AND (4) EVALUATES PROGRESS TOWARD THESE OBJECTIVES. THE DECISION-MAKING PROGRAM IN THE PALO ALTO, CALIFORNIA SECONDARY SCHOOLS HELPS NINTH AND 11TH…

This study examined the effects of number of illustrative examples and number of practice problems given on seventh graders' achievement in a unit on probability. Four treatment groups were used, one for each combination of two levels of number of examples and two levels of number of practice problems. Prior to treatment students were pretested on…

Six experimental approaches to the problems of setting cutoff scores and choosing proper test length are briefly mentioned. Most of these methods share the premise that a test is a random sample of items, from a domain associated with a carefully specified objective. Each item is independent and is scored zero or one, with no provision for…

THE ABC (APPROACH BY CONCEPT) SYSTEM FOR STORAGE AND RETRIEVAL OF SCIENTIFIC AND TECHNICAL INFORMATION HAS BEEN SUBJECTED TO AN EXTENSIVE PERFORMANCE TEST. IN LI 000 318 THE TEST PROGRAM AND SETUP WAS DESCRIBED AS WELL AS THE METHODOLOGY, AND IN THE SECOND REPORT, LI 000 317, A PRELIMINARY STATISTICAL EVALUATION OF THE TEST RESULTS WAS GIVEN. THIS…

THE PROBLEM OF PREDICTING THE PATTERNS OF USE OF LIBRARY MATERIALS IN ORDER TO DECIDE WHICH MONOGRAPHS SHOULD BE REMOVED FROM A MAIN COLLECTION AND PLACED IN STORAGE IS STUDIED IN THIS REPORT. SPECIFICALLY, THE STUDY EXAMINES PREVIOUSLY DEVELOPED MATHEMATICAL MODELS AND DEVELOPS NEW MATHEMATICAL MODELS AND STATISTICAL TECHNIQUES FOR STUDYING THE…

The document suggests some new modeling approcaches for equal employment opportunity (EEO) planning. Previous manpower planning models of the Office of Civilian Manpower Management have utilized multi-period Markoff processes embedded in goal programing (multiple objective) models. These are here extended to EEO plans directed to changing the mix…