This is the final report for a study whose original purpose was to develop a general theory of the situational constraints imposed by the routines of everyday life on arithmetic skills. Section 1 reviews the goals laid out in the proposal in relation to what was accomplished. Section 2 is the draft of "Everyday Cognition: Its Development in…

References on problem solving are categorized and annotated in this document. The philosophy of problem solving, especially its meaning and its implications for the mathematics curriculum, are examined in references included in the first section. In the second section, references on different strategies and techniques of problem solving that…

Methodological issues in the use of protocol analysis for research into human problem solving processes are examined through a case study in which two students were videotaped as they worked together to solve mathematical problems "out loud." The students' chosen strategic or executive behavior in examining and solving a problem was…

An experiment was conducted to test the hypothesis that recent theories connecting creative problem solving with cerebral specialization might explain why some writers compose much more effectively than others. Specifically, the experiment was designed to find ways composition teachers can help students to transform writer-based prose into…

Tautologies in student essays, arguments that most commonly assume the truth or self-evidence of themselves without relationship to something other than themselves, can be identified whenever an essay contains a series of nonsuccessive, noncumulative discourse units. Three kinds of tautologies in student papers are tautologies of redundancy,…

Current notions of metacognition merge with the predominant scientific model used in psychology, that of information processing. Metacognition is seen as a control process that governs the action of more elemental cognitive skills. Given the centrality of this notion, it is important that metacognition should be examined in detail. From the point…

Some diverse fields in which the effects of mental representations have been noticed are first discussed, largely through illustrations of differing problem-solving experiences. Then the LAKOS Project (Logical Analysis of Cognitive Organizational Structures) at the University of Osnabruck is described. A central concern is the specification of a…

Different kinds of basic knowledge and strategies necessary for comprehension are examined in three radically different domains: (1) the stories, (2) mathematical problems, and (3) electronic circuits. From analyzing the comprehension processes in these different domains, similarities have emerged in the role of planning knowledge and the…

An age-related decline in performance is typically observed in research on tasks that rely on cognitive processing. However, such declines must not be accepted as indisputable evidence that the learning efficiency of older adults is necessarily impaired. Cognitive factors such as a production deficiency in long-term memory and/or a retrieval…

This document focuses on four children in a small group, solving word problems aloud. Different aspects of how children in small groups approach problems were revealed; certain characteristics of their attempts to solve problems suggest a variety of questions for further research. These pupils were part of a project that involved six groups of…

Mathematics education research from fourteen studies is abstracted and critiqued in this publication. Six cover aspects of instructional practice, four deal with points in learning theory, two with problem solving, and one each with calculators and sex differences. Research in mathematics education as reported in CIJE and RIE from October to…

Twelve research reports related to mathematics education are abstracted and analyzed. Three of the reports deal with aspects of learning theory, two with student characteristics, and one each with calculators, problem solving, secondary mathematics curriculum changes in Australia, sex differences, teaching methods, and tutoring strategies. The…

The learning of word problems in mathematics is viewed as particularly difficult. The first paper in this report takes into consideration the semantic aspects of problems, by viewing the difficulties that children have solving two-step multiplication problems. An initial study was carried out with 36 children between the ages of nine and fourteen…

Reported is a study to investigate the effects of a free-choice program on children's ability to interpret experiments, design simple investigations, and recognize variables that could affect the outcome of observed events. (Author/SA)

This paper describes a model for the adolescent's understanding of the motion of objects, and the application of this model to the design of beginning physics instruction in mechanics. Students' difficulties in learning classical Newtonian mechanics are described and integrated into current cognitive science research. Research findings on physics…