This study reports two experiments which indicate that the processes of providing subjects with insightful representations of example programs and guiding subjects through an "ideal" problem solving strategy facilitate learning. A production system model (GRAPES) has been developed that simulates problem-solving and learning in the…

A developmental interactionist model for promoting social competence is proposed. It is argued that personal and social resources present in infancy are expanded, refined, and hierarchically reorganized continuously throughout the life-span as a function of development and experience. Social competence is seen as the result of integrating and…

Working in groups of three, seventh-grade students were video taped solving an applied mathematical problem. Audio tapes were made of each group discussing their session. Analysis focused on the first stage of Noddings (1984) model of problem solving for school mathematics: Creation of a representation. Some factors identified as impeding…

Instructional supervision, despite the lack of evidence for its value, can potentially help improve instruction and promote educators' professional growth. To realize this potential, schools should analyze their supervisory practice according to these four premises: (1) that each school district and each school has unique organizational…

This paper discusses research on the processes by which individuals progress toward expertise in scientific domains, focusing on the activity of constructing qualitative problem representations during solution of standard mechanics problems in physics. It includes information on: (1) descriptive analyses of problem-solving performance; (2)…

The unified theory described in this paper characterizes human reasoning as an information processing system with a hierarchical sequence of components and subtheories that account for performance on successively narrower tasks. Both deductive and inductive theories are subsumed in the unified componential theory, including transitive chain theory…

Characteristics of good problems for primary school children are described and illustrated in discussions of sample problems. A collection of problems meeting these criteria is presented and annotated, and the organization of the classroom for problem-solving activities is discussed. (SD)

This document consists of five units which all view applications of mathematics to American politics. The first three view calculus applications, the last two deal with applications of algebra. The first module is geared to teach a student how to: 1) compute estimates of the value of the parameters in negative exponential models; and draw…

A project was conducted at the University of Goteborg in Sweden to study how students of statistics make use of their knowledge when they solve statistical problems and how this knowledge utilization can be improved. The initial study objectives were to identify deficiencies and limitations pertaining to students' knowledge utilization and to…

Preschool children's problem solving processes are investigated in both direct and indirect ways. Direct investigations focus on substantive and methodological issues related to how children solve a few well defined puzzles, such as the Tower of Hanoi and the Tangram. Indirect investigations deal with related issues: U-shaped (or non-monotone)…

A study of two small-to-middle-sized midwestern school districts, each observed for over a year, shows that the negotiated order concept can provide a useful framework for viewing schools' organizational functions. According to the negotiated order concept, organizational relationships require constant negotiations concerning values, goals, rules,…

Two phenomena related to the quality of student responses in regard to items used in a testing situation are involved in the construction of a pupil response model. The underlying phenomenon which defines the individual's cognitive limits is termed the hypothetical cognitive structure (HCS). The second phenomenon, which is a function of not only…

This publication is a study guide prepared for use in a National Science Foundation (NSF) Chautaugua-Type Short Course for College Teachers. The purpose of the guide is to provide college teachers with a variety of modeling methods that can be used with problem solving. Mathematical applications and illustrations are included, along with listings…

This paper describing a newly created instructional approach developed at Oregon State University focuses on discussions of the process, a guided design decision-making strategy used by a team of instructors to design and develop the product, i.e., the feedback lecture approach, which is examined both in its developmental stage and in its measured…

This report is concerned with the observation that many teenagers and adults are unable to apply arithmetic even when they know how to perform the operations. It is speculated that this is probably due to not having been taught when to use the fundamental operations. Examples of types of "real" problems which require the various…