An approach is presented for determining unidimensional scale estimates that are relatively insensitive to limited inconsistencies in paired comparisons data. The solution procedure--a minimum-cost network-flow problem--is presented in conjunction with a sensitivity diagnostic that assesses the influence of a single pairwise comparison on…

Cobb's Cusp Surface Analysis Program (CUSP) provides a way to estimate empirically and test a nonlinear cusp catastrophe model. A model of emotion during problem solving is used to introduce catastrophe theory modeling and is discussed in conjunction with how to run and interpret CUSP. (SLD)

A study on sampling errors of variance components was conducted within the framework of generalizability theory by P. L. Smith (1978). The study used an intuitive approach for solving the problem of how to allocate the number of conditions to different facets in order to produce the most stable estimate of the universe score variance. Optimization…

Highlights major areas of research in mathematics education and examines four areas in need of additional attention: (1) the role of technology in mathematics teaching; (2) models for evaluating mathematics teaching; (3) development of estimation skills; and (4) the role of affective variables in the teaching of problem solving. (JN)

Limitations of the retrieval strategy dimension of Siegler's (1982, 1984) distributions-of-associations model of young children's estimation of sums are delineated, an alternative model is described, and findings of two studies designed to test key assumptions of the models are reported. In Study 1, kindergarten children with normal IQ and no…

Selected examples using the statistical packages Statistical Package for the Social Sciences (SPSS), the Statistical Analysis System (SAS), and BMDP are presented to facilitate their use and encourage appropriate uses in: (1) a hierarchical design; (2) a confounded factorial design; and (3) variance component estimation procedures. To illustrate…

Described is a learning activity that requires students to observe, read, and interpret graphs and organize and describe data. Included are the grade level, materials, objectives, prerequisites, directions, answers to questions, and copies of handouts. (KR)

Presents a historical and content background of the metric system. Describes 1 of a series of integrated hands-on lessons for grades 4-7 to teach the measuring of volume with metrics. Provides a worksheet for the lesson and a concept map of the metric system. (MDH)

This guide provides activities based on 13 Mathnet cases that are part of the television program Square One TV. Mathnet is a detective serial which ends each program. Each Mathnet activity consists of a case summary, two short activities, and one longer step-by-step activity, with a reproducible student activity page. Topics include geometry,…

Uses two studies to examine developmental and task effects in estimation problems. Results are discussed in terms of student and task characteristics and the implications of such variables on information processing model of learning. Implications for science teaching, learning problem diagnostics, and science curricula are also discussed. (TW)

This document is intended to help Australian technical and further education instructors in New South Wales (TAFE NSW) identify teaching principles and learning activities that they can use to help adult learners master the mathematics processes, knowledge, and skills needed to perform basic measurement tasks in today's workplace. The materials…

The 1989 document, "Curriculum and Evaluation Standards for School Mathematics," provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. This book, one in a series designed to interpret and…