Work performed persuant to grant number 1-06, 1819-2240 from the U.S. Office of Education.

Features of a probabilistic testing system that has been implemented on the "cerl" PLATO computer system are described. The key feature of the system is the manner in which an examinee responds to each test item; the examinee distributes probabilities among the alternatives of each item by positioning a small square on or within an…

This two-volume set is a self-help student text designed as an alternative to the standard algebra text. Each lesson is introduced by and centered around an application of the topic under discussion. For each lesson, questions are given covering the reading, testing understanding of the reading, and for discussion. Some sections contain questions…

The logical foundations of deduction and induction are outlined to form the rules for the construction of a set of tests of reasoning ability. Both deduction and induction involve the derivation of a conclusion from a set of premises. Deductive logic uses syllogisms and is abstract. Inductive logic is both empirical and abstract. Although…

This module introduces the student to a formal study of probability. The lessons progress from elementary notions of least likely to more complex considerations of the probability of occurrence of one or more possible outcomes. Probability is introduced in an empirical sense through experimentation and investigation. In the later experiments, the…

ASSOCIATIVE ADJUSTMENTS TO A DOCUMENT FILE ARE CONSIDERED AS A MEANS FOR IMPROVING RETRIEVAL. A THEORETICAL INVESTIGATION OF THE STATISTICAL PROPERTIES OF A GENERALIZED MISMATCH MEASURE WAS CARRIED OUT AND IMPROVEMENTS IN RETRIEVAL RESULTING FROM PERFORMING ASSOCIATIVE REGRESSION ADJUSTMENTS ON DATA FILE WERE EXAMINED BOTH FROM THE THEORETICAL AND…

THE PROBLEM OF THIS STUDY WAS TO FIND THE AUDIENCE OF EDUCATIONAL TELEVISION (ETV) AND TO STUDY IT IN DEPTH. THE AUDIENCES OF EIGHT ETV STATIONS - REPRESENTING THE PRINCIPAL TYPES OF OWNERSHIP, ALL SECTIONS OF THE UNITED STATES, AND BOTH VHF AND UHF CHANNELS - WERE STUDIED AND ANALYZED. IN EACH OF THE TEST COMMUNITIES, SAMPLES WERE DRAWN FROM THE…

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, non-metric…

This is volume three of a three-volume SMSG junior high school mathematics text. This volume includes the units concerned with applications of mathematics. Unit topics include: (1) what is mathematics and why you need to know it; (2) mathematics at work in science; (3) Uncle Sam as a statistician; and (4) chance. (MP)

INVESTIGATED WERE JUNIOR HIGH SCHOOL STUDENT'S UNDERSTANDINGS OF THE CONCEPTS INTRINSIC TO PROBABILITY THEORY. THE SPECIFIC OBJECTIVES WERE TO EXPLORE (1) THE VARIATION AND CONSISTENCY IN USAGE OF QUANTITATIVE LANGUAGE TERMS, (2) THE ABILITY TO GENERATE POSSIBLE COMBINATIONS AND PERMUTATIONS, (3) THE RECOGNITION AND UTILIZATION OF THE CONCEPT OF…

This report explains the following mathematical techniques which may be used for relating search requests to documents contained in a library: (1) Boolean Algebraic Retrieval, (2) Linear Statistical Retrieval, (3) Statistical Association Techniques for expanding a query and/or for expanding the set of retrieval documents, (4) Vector Space…

Examined are methodologies for modeling students' choices among higher education institutions. A statistical technique called "conditional logit analysis" is applicable to the problem studied. These applications are reviewed and certain weaknesses inherent in the approach are pointed out. Alternative approaches are offered, based on the…

This volume is based on a conference on the teaching of probability and statistics held in 1969 by the Comprehensive School Mathematics Program (CSMP) and the Central Midwestern Regional Educational Laboratory (CEMREL). The purpose of the conference was to study a broad range of opinion on the teaching of probability and statistics and to…

This monograph was written for the Conference on the New Instructional Materials in Physics, held at the University of Washington in summer, 1965. It is designed for college students who are non-physics majors, and is organized in sections of increasing sophistication. Section 1 presents ideas related to the kinetic theory of gases. Section 2…

This status study provides evidence supporting the feasibility of teaching certain probability concepts to fifth and sixth grade students. The study employed an interview technique to analyze the status of three basic concepts of probability--sample space, probability of an event, choosing the most likely of two events. The effects of visual aids…