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Lampert, Magdalene – 1985
The concept of multiplication is described and illustrated using several different representational systems. A conceptual approach to teaching mathematics is compared with the procedural approach commonly found in the school curriculum. Four different methods of representing the multiplication process with numbers larger than ten are presented:…
Descriptors: Algorithms, Cognitive Processes, Computation, Educational Research
Spottheim, David; And Others – 1984
This is a summary of a report which presents three models quantifying the relationships between educational means (resources) and ends (pupil achievements) to analyze resource allocation problems within school districts: (1) the Pupil Performance Model; (2) the Goal Programming Model; and (3) the Operational Structure of a School and Pupil…
Descriptors: Academic Achievement, Decision Making, Educational Finance, Educational Objectives
Spottheim, David; And Others – 1984
This report details three models quantifying the relationships between educational means (resources) and ends (pupil achievements) to analyze resource allocation problems within school districts: (1) the Pupil Performance Model; (2) the Goal Programming Model; and (3) the Operational Structure of a School and Pupil Performance Model. These models…
Descriptors: Academic Achievement, Decision Making, Educational Finance, Educational Objectives
Download full textBraun, Henry I.; Jones, Douglas H. – 1985
Classical statistical methods and the small enrollments in graduate departments have constrained the Graduate Record Examinations (GRE) Validity Study Service to providing only validities for single predictors. Estimates of the validity of two or more predictors, used jointly, are considered too unreliable because the corresponding prediction…
Descriptors: Bayesian Statistics, College Entrance Examinations, Departments, Grade Point Average
Pedersen, Katherine; And Others – 1985
The purpose of the study was to hypothesize and test a causal model of continuation in the mathematics study sequence. The causal model hypothesized (a) direct effects from parent attitudes and perceptions to student attitudes, spatial visualization skills, and mathematics achievement; and (b) direct effects from student attitudes, spatial…
Descriptors: Educational Research, Grade 12, Grade 8, Mathematical Models
Downey, Ronald G.
Previous research has studied the effects of different methods of item option weighting on the reliability and concurrent and predictive validity of achievement tests. Increases in reliability are generally found, but with mixed results for validity. Several methods of producing option weights, (i.e., Guttman internal and external weights and…
Descriptors: Achievement Tests, Comparative Analysis, Correlation, Grade Point Average
Jacobson, Louis S. – 1973
Research using Social Security data to measure the effects of government manpower training programs on the earnings of participants is discussed. Previous studies employed a longitudinal set of Social Security summary earnings records of over 50,000 individuals who participated in Manpower Development and Training Act (MDTA) institutional training…
Descriptors: Comparative Analysis, Data Analysis, Employment Patterns, Federal Programs
Keller, Edward L. – 1980
This unit, which looks at applications of linear algebra to population studies, is designed to help pupils: (1) understand an application of matrix algebra to the study of populations; (2) see how knowledge of eigen values and eigen vectors is useful in studying powers of matrices; and (3) be briefly exposed to some difficult but interesting…
Descriptors: College Mathematics, Computer Programs, Higher Education, Instructional Materials
Wilde, Carroll O. – 1980
The Poisson probability distribution is seen to provide a mathematical model from which useful information can be obtained in practical applications. The distribution and some situations to which it applies are studied, and ways to find answers to practical questions are noted. The unit includes exercises and a model exam, and provides answers to…
Descriptors: Answer Keys, College Mathematics, Higher Education, Instructional Materials
Walberg, Herbert J. – 1980
To solve problems of causality and measurement in educational research, this paper combines seven variables into a proposed model of educational productivity on achievement tests. The authors first review psychological models of educational production that relate learning to aptitude and environment, and note that these models do not allow for…
Descriptors: Academic Achievement, Academic Aptitude, Aptitude Treatment Interaction, Educational Environment
Bessant, A.; And Others – 1981
To assess the productivity of 167 Houston elementary schools, researchers applied a fractional linear programming procedure called Data Envelopment Analysis (DEA) to each school's inputs and outputs. School output was measured by third- and sixth-graders' scores on the Iowa Test of Basic Skills (ITBS). Input resources comprised pupil…
Descriptors: Achievement Rating, Attendance, Efficiency, Elementary Education
Estes, Gary D.; Anderson, Judith I. – 1978
An empirical study was conducted in order to obtain treatment effect estimates with the Special Regression model for groups in which there was no treatment. General mathematics test scores were obtained from 730 ninth graders in city schools somewhat similar to Title I schools, but in which no special treatments were given. Hypothetical…
Descriptors: Achievement Gains, Arithmetic, Compensatory Education, Control Groups
Wysocki, James C. – 1977
The performance of the University of Arizona College of Medicine's graduating class of 1976 on the National Board of Medical Examiners (NBME) Parts I and II was analyzed in a structural equation model. Although the primary emphasis of this paper is toward model development, the effects of several background and demographic variables such as age,…
Descriptors: Critical Path Method, Grade Point Average, Higher Education, Mathematical Models
Hotchkiss, Lawrence – 1979
This document was prepared in connection with a three-year longitudinal study of career expectations of high school students conducted to explain scientifically the process by which youth form career expectations, e.g., educational, occupational, and income expectations. Divided into six chapters, this document contains a theoretical rationale for…
Descriptors: Career Development, Concept Formation, Decision Making, Educational Research
BATEMAN, C.W. – 1966
A MODEL IS CONSTRUCTED TO DETERMINE THE BEST PROPORTION OF FORMAL AND ON-THE-JOB TRAINING IN MILITARY OCCUPATIONS. SPECIAL CONSIDERATION IS GIVEN TO THE UNIQUE SITUATION OF ENLISTED PERSONNEL'S FIXED LENGTH OF SERVICE, THE SMALL PERCENTAGE OF RE-ENLISTMENT, AND THE NECESSITY OF TRAINING ALL ENLISTEES FOR ASSIGNED OCCUPATIONS. THE MODEL FORMULA…
Descriptors: Conventional Instruction, Enlisted Personnel, Mathematical Models, On the Job Training
