A study designed to test the Piagetian theory that distinct stages in the organization of memory relating to horizontality correspond to successive stages in operative level was conducted with 154 twelve- to fourteen-year-old subjects. Loglinear and path analysis models were used to describe the association between operative level and spatial…

This document is intended as a resource for persons using, designing, or evaluating instructional materials in whole number subtraction. Its purpose is to provide conceptual machinery: (1) for describing/specifying subtraction tests and exercises and (2) for formulating related questions and conjectures. It is mainly a logical analysis subject to…

The development of a theory of algebraic problem solving is discussed. The domain of the investigation is restricted to single sentence word problems. There were three experiments, the first involving 42 college students from the University of California, Santa Barbara. These subjects were divided into two groups, half in an equation group and…

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…

Strategies used by 150 children as they solved addition and subtraction verbal problems were studied over a period of one-and-a-half years. Number size and presence of manipulative materials were variables manipulated in individual interviews given at three separate intervals. Two addition and four subtraction tasks were used. Processes changed…

The investigation reported is primarily a description of how college students solve or fail to solve algebra equations. Protocols were collected from two groups of college students; one group was expected to be good solvers, the other group contained many poor solvers. The investigators sought to identify and classify the difficulties students…

This paper presents the rudiments of a constructivist conceptual framework which school psychologists can use to help parents develop positive parenting concepts. Problems arise if school psychologists rely solely on a mechanistic paradigm when they identify causes of unwanted behaviors and suggest specific remedial strategies. Operating within a…

A sequence of reasoning processes based on a combination of theories developed by Jean Piaget is presented. An applied theory of concept-teaching is derived from the restructuring of Piagetian theories on logical thought specifically concerned with the notions of the additive and multiplicative ordering of groups, and the four logic processes of…

Since the mid-1960s a new approach has dominated American research in the area of mathematics education -- information-processing theory. The author examines several examples of research in this new tradition and sketches the general features of an emerging information-processing psychology of teaching. Information-processing studies that employ…

This final report reviews research performed in two major areas--instructional theory, and development of a generalized maintenance trainer simulator. Five related research projects were carried out in the domain of instructional theory: (1) the effects of visual analogies of abstract concepts, (2) Markov decision models for instructional sequence…

Because human memory and thought involve extremely complex processes, it is possible to employ unusual modalities and specific visual strategies for remembering and problem-solving to assist patients with memory defects. This three-part paper discusses some of the research in the field of human memory and describes practical applications of these…

Piaget has hypothesized that concrete and formal operations can be described by specific logical models. The present study focused on assessing various aspects of four concrete operational groupings and two variations of two formal operational characteristics. Six hundred twenty-two 9-14 year old students participating in the Human Sciences…

The influence of an individual's cognitive style on hypothesis testing behavior was investigated. Thirty analytic and 30 global subjects each solved 24, 16-trial problems with intermittent reinforcement, i.e., E said "right" or "wrong" after every fifth response. Results indicated that the analytic subjects solved more problems…

Children's Television Workshop (CTW) is an experiment in the instruction of preschool children through the medium of broadcast television. This document, which incorporates, extends, and supersedes an earlier report of a meeting to establish priorities among goals for CTW, serves six related purposes: (1) it attempts to reflect the suggestions of…

This study tests the following hypotheses: (a) the ability to solve disjunctive concepts increases with age; (b) positive instances are of greater use in solving conjunctive concepts while negative instances are of greater use in solving disjunctive concepts; (c) older children will show greater improvement than younger children in concept…