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…

Intended as a reference for the convenience of students in sampling, this monograph attempts to express relevant, introductory mathematics and probability in the context of sample surveys. Although some proofs are presented, the emphasis is more on exposition of mathematical language and concepts than on the mathematics per se and rigorous proofs.…

This study tested a variation of the random response surveying strategy designed for lengthy questionnaires to be used in group administrations or mail surveys. A questionnaire was mailed to a random sample of 3,000 company grade officers divided into three groups. One group received a conventional questionnaire. The second group received a random…

Procedures are presented for equating simultaneously several tests which have been calibrated by the Rasch Model. Three multiple test equating designs are described. A Full Matrix Design equates each test to all others. A Chain Design links tests sequentially. A Vector Design equates one test to each of the other tests. For each design, the Rasch…

Decision theoretic testing was used to explore whether junior high students could improve their tendencies to make realistic assessments of what they knew. In nine sessions over a period of three weeks, 49 seventh graders used computer terminals to record probability values in the form of logarithmic equivalents for each alternative in a…

Each of the ten chapters in this volume is intended to present an objective analysis of the trends of some important subtopic in mathematics education and each includes a bibliography for fuller study. The chapters cover primary school mathematics, algebra, geometry, probability and statistics, analysis, logic, applications of mathematics, methods…

A numerical procedure is outlined for obtaining an interval estimate of a parameter in an empirical Bayes estimation problem. The case where each observed value x has a binomial distribution, conditional on a parameter zeta, is the only case considered. For each x, the parameter estimated is the expected value of zeta given x. The main purpose is…

This study examines quantification of the instructional process through the use of Markov chaining, and by considering the transition probabilities within a framework provided by the taxonomy used, attempts to obtain information about behavior sequences common to all lessons. (Author/DLG)

The objective of this research was to explore changes in occupational expectations of a sample of Texas youth within the framework of Ginzberg's formulation of "increasing realism of choice." Using standard multiple regression procedures, changes over time in level of occupational expectations were analyzed with respect to 4 sets of…