Suggests ways in which mathematical models can be presented and developed in the classroom to promote discussion, analysis, and understanding of issues related to energy consumption. Five problems deal with past trends and future projections of availability of a nonrenewable resource, natural gas. (Contains 13 references.) (MDH)

This study examines the application of the marginal maximum likelihood (MML) EM algorithm to the parameter estimation problem of the three-parameter normal ogive and logistic polychotomous item response models. A three-parameter normal ogive model, the Graded Response model, has been developed on the basis of Samejima's two-parameter graded…

Data accumulated over two years were analyzed in order to evaluate two components of a teacher education curriculum--performance objectives and self analysis skills. A multi-step procedure was devised and implemented which uses regression to illustrate the feasibility of implementing the procedure for curricular decision making. This procedure…

The State Planning System (SPS) is a policy-oriented management tool intended to help analyze the interrelated effects of alternative policies and their relationships to state goals. Two pilot-test case studies are described--the SPS tuition policy evaluation conducted in Colorado, and New York's SPS evaluation of the applicability of large scale…

Describes an activity in which students use data analysis and mathematical modeling to obtain insight into a geometrical question. Explores a simple case of the isoperimetric inequalities. (KHR)

Outlines differences between classical statistics and exploratory data analysis. Provides examples in the use of the exploratory techniques. (YP)

Presents an activity to analyze the data from the Challenger explosion to help students understand the critical role of statistics in decision making and the importance of considering all available data. (MKR)

This submission contains the Proceedings of the 2010 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Simon Fraser University in Burnaby, British Columbia. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims…

Multiple sources of complications in the analysis of multilevel educational data are described with emphasis on the determination of a method of analysis that will provide accurate estimates of teacher/class effects even when there are systematic differences in within-class regressions of outcome on input associated with teacher/class…

Many educational questions of research interest focus on individual differences in attitudes and behaviors related to academic achievement, changes in such attitudes and behaviors over time, and the types of academic environments that facilitate or prevent development of achievement attitudes and behaviors at school. This paper, the first in a…

A latent trait model is described that is appropriate for use with tests that measure more than one dimension, and its application to both real and simulated test data is demonstrated. Procedures for estimating the parameters of the model are presented. The research objectives are to determine whether the two-parameter logistic model more…

The general goal of this paper is to help researchers conduct appropriately designed goodness of fit studies for item response model applications. The specific purposes are to describe: (1) an up-to-date set of promising and useful methods for addressing a variety of goodness of fit questions; and (2) current research studies to advance this set…

The data entry quality control procedures in discrete data entry tasks in the National Longitudinal Study (NLS) Fourth Follow-Up Survey are examined. Direct data entry terminals were used to key survey questionnaire item responses, telephone interview corrections, respondent background information and supplemental questionnaire responses into…

THIS PAPER DEALS WITH SOME TESTS OF HYPOTHESIS FREQUENTLY ENCOUNTERED IN THE ANALYSIS OF MULTIVARIATE DATA. THE TYPE OF HYPOTHESIS CONSIDERED IS THAT WHICH THE STATISTICIAN CAN ANSWER IN THE NEGATIVE OR AFFIRMATIVE. THE DOOLITTLE METHOD MAKES IT POSSIBLE TO EVALUATE THE DETERMINANT OF A MATRIX OF HIGH ORDER, TO SOLVE A MATRIX EQUATION, OR TO…

This guide presents many new experimental designs for data analysis and reviews certain standard procedures. It is hoped that the treatment of the material will stimulate new applications since the emphasis of the guide is on the problems encountered in running experiments rather than on an elaboration of mathematical models. Discussed are:…