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Peer reviewedWilliams, Brian R. – Journal of Experimental Child Psychology, 1974
Presents a procedure for estimating the probability of true hypothesis behavior, including a validity test for the resulting estimate. The procedure is applied to data taken from three research reports, and reveals substantial differences between age and treatment groups. Also discusses implications of the procedure for correctly interpreting…
Descriptors: Age Groups, Discrimination Learning, Elementary School Students, Feedback
Download full textRudner, Lawrence M. – 1977
Using conventional mental test theory, item parameters of an aptitude or achievement test vary with each group of examinees, and as such are somewhat limited in their use and interpretation. Within the last 25 years, measurement models have emerged in which item parameters are considered to be invariant. Generically referred to as latent trait…
Descriptors: Ability, Cognitive Measurement, Error Patterns, Latent Trait Theory
Peer reviewedVan Engen, Henry; Grouws, Douglas – National Council of Teachers of Mathematics Yearbook, 1975
Activities related to content areas important to the primary mathematics program, but outside the scope of arithmetic, geometry and measurement, are presented. Topics include relations, number sentences, solving sentences, logic, probability, statistics, number theory, and the system of integers, Inclusion of these topics is justified and…
Descriptors: Curriculum, Deduction, Elementary Education, Elementary School Mathematics
Peer reviewedEngel, Arthur – Educational Studies in Mathematics, 1975
The author describes a new graphing algorithm for computing probabilities, and presents problems for these algorithms for use in the classroom. (SD)
Descriptors: Algorithms, Computation, Diagrams, Elementary Secondary Education
Peer reviewedHarvey, John G. – School Science and Mathematics, 1975
A program is proposed for teaching statistics and probability to elementary school children. Task analysis is used to determine concept sequence and detailed behavioral objectives are specified. (CR)
Descriptors: Behavioral Objectives, Curriculum, Elementary Education, Elementary School Mathematics
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
Sobol', 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
