We tested human performance on the Euclidean Traveling Salesman Problem using problems with 6-50 cities. Results confirmed our earlier findings that: (a) the time of solving a problem is proportional to the number of cities, and (b) the solution error grows very slowly with the number of cities. We formulated a new version of a pyramid model. The…

Several approaches to response to intervention (RTI) described in the literature could be blended into an RTI model that would be effective in the schools. An effective RTI model should employ three fundamental variables: (a) systematic data collection to identify students in need, (b) effective implementation of interventions for adequate…

Students need in-school mathematical experiences to build on and formalize the mathematical knowledge they gain in out-of-school situations. This paper presents illustrations from research that was conducted to better understand how mathematics practice and problem solving in everyday work situations compared to secondary students' solutions of…

Models occupy the content core of physics, and modeling is a major process for constructing and employing physics knowledge. A model is characterized by its domain, composition, structure, behavior, and organization. Problem solving is a schematic modeling process consisting of model selection, construction, validation, analysis, and deployment. A…

The paper, part of an all-day workshop, reviews research and theory on left-right hemisphere information processing and psychophysiological models on the functional organization of the brain. Hemisphericity is considered in terms of language, cognitive styles, role in education, verbal and non-verbal processing, affective concomitants, and…

Recurring pressures for fiscal restraint threaten the existence of educational programs, such as competitive debate, which are not publicly perceived to produce worthwhile outcomes. Since debate is misunderstood and expensive, its advocates must be prepared to provide solid evidence of its benefits. Unfortunately, methodological weaknesses in…

The paper is a discussion of research on direct instruction and its implications for effective instruction in verbal math problem solving for elementary learning disabled students. Characteristics and problems of conventional programs are reviewed, as are the major features and logic of direct instruction programing. Components of instructional…

Simple and complex addition problems were presented for true/false verification to 30 undergraduate students to test a general model for cognitive addition. Problems were presented on a microcomputer, with reaction time (RT) and response accuracy recorded. Models for addition were fit to average RT data using multiple regression techniques. These…

Designed for student use in solving linear programming problems, the interactive computer program described (EZLP) permits the student to input the linear programming model in exactly the same manner in which it would be written on paper. This report includes a brief review of the development of EZLP; narrative descriptions of program features,…

Work and play are parts of the same whole and the detachment of the notion of effort from the idea of play has had confusing and dangerous consequences--dangerous, because the opportunities for children to engage in vital, self-selected play have been diminished in our society. This has been done partly through deliberate, conscious choice on the…

This document analyzes the planning, developing, and implementing of fundable Title III, ESEA projects, by integrating the following five strategies: (1) A planning development and implementation strategy, (2) a risk-gain motivation strategy, (3) a problem-solving strategy, (4) a quality assurance and evaluation strategy, and (5) a management…

Project ROME-FOCUS (results-oriented management in education--field-oriented, competency utilization system) is a field-oriented, competency-based instructional program for school administrators pursuing the sixth-year degree at Valdosta State College. It represents an effort to develop and execute a training program that focuses on a group of 80…

It is recognized that there is a major gap between the promises of large data bases and optimization and simulation models and their actual ability to solve real world problems. This document describes a Generalized Data Base Planning System (GPLAN), currently being developed at Purdue University, that is proposed as a system to bridge this gap. A…

A problem solving skill was investigated to provide direction for training strategies for a proposed personal problem solving training program. There were eight treatment groups utilized including video-tape modeling, audiotape modeling, social modeling through means of a written booklet, parallel treatments for each of these using social…

A national sample survey of innovation processes reported by superintendents in 353 school districts reveals four distinct patterns of belief regarding change. These four patterns are identified as "participative problem solving,""RD&D,""strategic manipulation," and "open advocacy-human revolution." Three of the four correspond closely to…