This paper describes mathematical modeling activities from a secondary mathematics teacher education course taken by fourth-year university students. Experiences with mathematical modeling are viewed as important in helping teachers develop a more intuitive understanding of mathematics, generate and evaluate mathematical interpretations, and…

This report profiles 69 initiatives and programs from across the country that are effectively reducing smog, air toxics, and chemicals that destroy the ozone layer. Problem solving strategies range from community pressure forcing reduction of industrial emissions, to municipal governments promoting transportation alternatives, to adoption of tough…

An abstract is presented for an interactive workshop in which participants solve problems in groups to learn, practice, and integrate the Learnership/Leadership Model. Learning and leading are critical for future success in educational and industrial organizations as many have expressed, including, but not limited to, C. Argyris, W. Bennis, M.…

This paper describes an approach to instruction and learning processes in professional training schools using microcomputers and computer assisted instruction (CAI). It is argued that the use of computers in education changes existing approaches to teaching and learning by focusing on the structure of the information being taught, the organization…

This curriculum guide presents basic definitions, models, and examples as a framework that individual technology education instructors or departments can use to construct their own units, courses, and curricula at any level. An overview describes the development of the model and the content of technology education. Section I explains technology.…

The study examined the preferences of 701 regular elementary teachers and 65 special education resource teachers for four school-based consultation models (collaborative, expert, medical, and mental health). Each model was assessed at each of five stages of the consultation process; (1) consultant goal; (2) problem identification; (3) intervention…

Research on the psychological processes involved in early school arithmetic has now accumulated sufficiently to make it possible to construct a coherent account of the changing nature of the child's understanding of number during the early school years. This monograph presents an account of how number concepts are extended and elaborated as a…

An interview of 64 students in eight 3rd- and 4th-grade classrooms and an assessment of their teachers' control orientation were conducted for the purpose of testing the hypothesis that students of autonomy-granting teachers are better means-ends thinkers than those of controlling teachers. Dimensions of students' classroom socialization of…

Rationales for the college learning center to provide consulting services are considered, along with the literature on learning centers as consultants to the university community. Attention is directed to an actual consultation intervention, in which the learning center at the University of Utah worked with the coordinator and teaching assistant…

The main purposes of the seminar were to examine the present status of school mathematics problem solving; to explore classroom practice and what is known about research; to compare the situations appearing in textbook word problems; and to make plans for cross-cultural research in both countries. A paper from each country was presented during the…

This paper illustrates a model of the layperson's reasoning patterns under conditions of uncertainty, the "outcome approach," which was developed from analysis of videotaped problem-solving interviews with 16 undergraduate students. According to the outcome approach, the goal in questions of uncertainty is to predict the outcome of an…

This paper describes NEOMYCIN, a computer program that models one physician's diagnostic reasoning within a limited area of medicine. NEOMYCIN's knowledge base and reasoning procedure constitute a model of how human knowledge is organized and how it is used in diagnosis. The hypothesis is tested that such a procedure can be used to simulate both…

The first three units in this set of mathematical applications cover applications of calculus to economics. Under the title, The Distribution of Resources, are the following: 60-The Lorenz Curve; 61-The Equal Share Coefficient; and 62-The GINI Index. Each of these units contains a set of exercises, a model exam, and answers to both the exercises…

One module is presented in units 203, 204, and 205, as a guide for students, and presents a general strategy for solving integrals effectively. With this material is a solutions manual to exercises. This document set also includes a unit featuring applications of calculus to geography: 206-Mercator's World Map and the Calculus. Unit 207-Management…

Three of the modules deal with applications of calculus to other mathematics. These are: 240-Pi is Irrational; 241-The Wallis Approximation of Pi; and 242-Buffon's Needle Experiment. The first of these units focuses on a proof of the irrational nature of pi, and provides exercises and answers. The second module of this group reviews the history of…