Examines second graders' and sixth graders' observational learning of complex problem solving strategies. (BD)

A programed unit on triangle constructions using an information processing prescriptive model was compared to a traditional model. The experimental group scored significantly higher on a retention test. (MP)

In this paper, Simon describes contemporary information processing approaches to the study of learning and thinking, and discusses the relevance of these studies to the distinction between rote and meaningful learning. Before defining the basic terminology of information processing research, he provides a brief literature review, describing some…

Discusses a study which investigated whether a computer simulation model could suggest subroutines that were instructable and whether instruction on these subroutines could facilitate subjects' solutions to the problem task. (JM)

Human information processing is analyzed in terms of eight fundamental concepts: procedures, operations on procedures, frames, planning language or meta-language, heuristics, knowledge in other forms, critics, and pointers. Examples of this processing are given. (MK)

The research reported in this paper was designed to analyze the incidence of use of higher-order rules by students solving geometric construction problems. A carefully selected set of construction problems was subjected to rigorous a priori analysis by mathematics educators to determine what basic and second-order rules might be used by able high…

In the pair of experiments reported here the authors investigated the relationship between meaningfulness of problem statements and subjects' use of these statements in problem-solving tasks. Subjects (96 university students) were required to memorize meaningful formulae such as "volume = area x height" or corresponding symbolic formulae such as…

This report presents the results of research that examined widely diverse decision problems and attempted to specify their common behavior elements. To take into account the psychological complexity of most real-life decision problems, and to develop a tentative organization of decision behavior that will embrace the many, highly diverse types of…

Sixteen investigations using 32 third graders, 286 fourth graders, 183 fifth graders, and 343 sixth graders, were undertaken to determine table-using proficiencies. The data indicate that: (1) upper elementary students are able to retrieve information accurately and quickly from noncomplex numerical tables over a wide range of levels of tabular…

This paper reports an experiment designed to test theoretical relations among fast problem solving, more complex and slower problem solving, and research concerning fundamental memory processes. Using a cathode ray tube, subjects were presented with propositions of the form "Y is in list X" which they memorized. In later testing they were asked to…

Focuses on synthesis in research--the combination of thesis and antithesis in the dialectical process, producing a new and higher form of being. Discusses kinds of synthesis (unique communication, plan of operation, abstract relations); synthesizing information pieces; summary practice leading to synthesis; and questions of analysis and synthesis.…

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…

Presented are abstracts of 14 research reports. Topics covered include: (1) the effects of games on mathematics skills and concepts; (2) the use of problem-solving heuristics in the playing of games involving mathematics; (3) sex differences in electing mathematics; (4) the origins of sex differences in high school mathematics achievement and…

This paper presents a developmental study of the problem solving strategies of reflective and impulsive children. Subjects for the study were 30 nine-year-olds, 39 eleven-year-olds, and 23 thirteen-year-olds who had been classified as reflective or impulsive at ages 7, 9, and 11 and who had been followed longitudinally over a three year period.…