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Chinn, William – Nat Sch, 1969
From a special report, "What's New in Curriculum
Descriptors: Algebra, Computer Programs, Curriculum Development, Geometry
Christ, Richard E. – J Gen Psychol, 1969
Descriptors: Cognitive Processes, Decision Making, Learning Processes, Memory
Wilcox, Rand R. – 1978
A mastery test is frequently described as follows: an examinee responds to n dichotomously scored test items. Depending upon the examinee's observed (number correct) score, a mastery decision is made and the examinee is advanced to the next level of instruction. Otherwise, a nonmastery decision is made and the examinee is given remedial work. This…
Descriptors: Comparative Analysis, Cutting Scores, Factor Analysis, Mastery Tests
Wilcox, Rand R. – 1979
Three separate papers are included in this report. The first describes a two-stage procedure for choosing from among several instructional programs the one which maximizes the probability of passing the test. The second gives the exact sample sizes required to determine whether a squared multiple correlation coefficient is above or below a known…
Descriptors: Bayesian Statistics, Correlation, Hypothesis Testing, Mathematical Models
Download full textSobol', I. M. – 1974
The Monte Carlo Method is a method of approximately solving mathematical and physical problems by the simulation of random quantities. The principal goal of this booklet is to suggest to specialists in all areas that they will encounter problems which can be solved by the Monte Carlo Method. Part I of the booklet discusses the simulation of random…
Descriptors: College Mathematics, Higher Education, Mathematical Applications, Mathematics
CATE, CLARENCE C.; AND OTHERS – 1961
A BOOKLET DESIGNED FOR ELEMENTARY SCHOOL STUDENTS TO BE USED INDEPENDENTLY FROM AND IN ADDITION TO THE REGULAR CLASSROOM CURRICULUM IN MATHEMATICS IS PRESENTED. ELEMENTARY USES AND CONCEPTS OF PROBABILITY AND STATISTICS ARE EXAMINED. PERMUTATION, COMBINATION, AND PREDICTABILITY ARE PRESENTED IN THE SECTION ON PROBABILITY. THE MEANING OF…
Descriptors: Advanced Students, Elementary School Students, Independent Study, Mathematical Concepts
Bell, Max S.; And Others – 1969
This volume contains preliminary versions of five of the chapters prepared by the SMSG curriculum project for use in grades 7 and 8. The first four chapters and the tenth chapter in the sequence are presented. The sample chapters in this volume illustrate a number of aspects of the curriculum project: (1) association of ideas of number and space…
Descriptors: Curriculum, Flow Charts, Geometry, Instruction
Weir, Morton W. – 1965
In a 1964 investigation of the effects of age and memory on problem solving, using subjects from age three to age nineteen, it was found that the youngest and oldest subjects performed a three-choice probabilistic task significantly different from the "middle-age" children (7 to 9 years old). The three-choice task was an apparatus with a…
Descriptors: Age Differences, Cognitive Development, Cognitive Processes, Learning
Young, Forrest W. – 1969
A model permitting construction of algorithms for the polynomial conjoint analysis of similarities is presented. This model, which is based on concepts used in nonmetric scaling, permits one to obtain the best approximate solution. The concepts used to construct nonmetric scaling algorithms are reviewed. Finally, examples of algorithmic models for…
Descriptors: Algorithms, Conceptual Schemes, Factor Analysis, Mathematical Applications
Suppes, Patrick – 1970
The purpose of this paper is to define the framework within which empirical investigations of probabilistic grammars can take place and to sketch how this attack can be made. The full presentation of empirical results will be left to other papers. In the detailed empirical work, the author has depended on the collaboration of E. Gammon and A.…
Descriptors: Child Language, Evaluation Criteria, Grammar, Linguistic Theory
Shulte, Albert Philip – 1967
A unit on probability and statistics was introduced into 18 ninth-grade general mathematics classes. The effects of this unit on teacher attitude, student attitude, and student achievement in several selected mathematical areas were investigated. The experimental group of 18 classes and a comparison group of 17 classes were tested before and after…
Descriptors: Achievement, Arithmetic, Curriculum Development, Grade 9
McLane, Lyn – 1969
These materials were written with the aim of reflecting the thinking of Cambridge Conference on School Mathematics (CCSM) regarding the goals and objectives for school mathematics. Presented are plans for teaching 23 probability lessons in the elementary grades at Hancock School, Lexington, Massachusetts. The discovery approach was utilized by the…
Descriptors: Arithmetic, Elementary School Mathematics, Grade 4, Grade 5
Lai, Morris K. – 1974
When analysis of variance is used, statistically significant differences may or may not be of practical significance to educators. A large part of the problem is due to the fact that a "zero difference" null hypothesis can always be rejected statistically if the sample size is large enough. If, however, a method based on the noncentral F…
Descriptors: Analysis of Variance, Data Analysis, Hypothesis Testing, Mathematical Models
Mosteller, Frederick; And Others – 1973
This booklet, part of a series of four which provide problems in probability and statistics for the secondary school level, is aimed at aiding the student in developing models as structure for data and in learning how to change models to fit real-life problems. Twelve different problem situations arising from biology, business, English, physical…
Descriptors: Curriculum, Instruction, Instructional Materials, Mathematical Applications
Edwards, Raymond J. – 1971
This guidebook on minimum content for a study of probability and its applications was designed for the student who has mastered second-year algebra. Covered in this booklet are sample spaces; tree diagrams, permutations, combinations, probability concepts and applications; and game theory. The course goals and performance objectives are specified,…
Descriptors: Behavioral Objectives, Curriculum, Game Theory, Instruction
