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…

The authors attempt to locate predictor variables associated with the outcome of alcoholic treatment programs. Muscia's study focuses on the predictive potential of: (1) response to a GSR conditioning procedure; (2) several personality variables; and (3) age and IQ measures. Nine variables, reflecting diverse perspectives, were selected as a basis…

Part of a series of four pamphlets providing problems in probability and statistics taken from real-life situations, this booklet develops probability methods through random numbers, simulations, and simple probability models, and presents the idea of scatter and residuals for analyzing complex data. The pamphlet was designed for a student having…

Topics covered in the probability chapter of the sixth unit in this SMSG series of student texts are fair and unfair games, outcomes and events, tree diagrams, and finding and estimating probability. The measurement chapter includes a discussion of length, units in the British and metric systems, perimeter, angle measure, circumference,…

The teacher's guide for Unit 14 of this SMSG series covers the chapter on logic and the chapter on applications of probability and statistics. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral objectives are…

The relative power of the Mann-Whitney statistic, the t-statistic, the median test, a test based on exceedances (A,B), and two special cases of (A,B) the Tukey quick test and the revised Tukey quick test, was investigated via a Monte Carlo experiment. These procedures were compared across four population probability models: uniform, beta, normal,…

The mathematical derivation of the statistics used for inference in some linear models assumes that values of the independent variables are pre-selected such that these variables can be treated as fixed rather than random variables. This assumption is often disregarded when these models are utilized in research. This study is an investigation of…

A seven-day unit on probability used an experimental game-oriented approach, which allowed students the opportunity to draw conclusions from experiments in which interest was high. (MP)

Describes the difference between the approach of statistical probability and the deterministic approach to physical theories. Shows that it is near the truth to see physical theory as a hierarchical structure in which successively complex levels alternate between probabilistic and deterministic explanations. (Author/GA)