A mathematician who has been teaching for 58 years discusses 3 types of knowledge that are subjects for teaching or learning (what, how, and why) and why teaching must include problem solving or the use of the Socratic, Moore, or discovery method. (MKR)

Presents a revised working definition of schema, lists four types of knowledge that individuals have (i.e., identification, elaboration, planning, and execution), and outlines issues in schema theory. The usefulness of schema in problem solving and information problem solving is discussed, and implications for teachers of information literacy are…

Proposes that conceptual change is constrained by the child's conceptual structures and the structures inherent in problem-solving tasks. Uses a microgenetic case study and group data to examine how interaction between strategies children bring to a task and the detailed task structure redirect children's attention and create the possibility of…

This project addressed the question: What knowledge and processes enable individuals to construct and modify representations of novel, nonroutine problems? The theoretical goal was to extend the information-processing theory of problem solving to include processes that have been characterized as restructuring of problems and productive thinking by…

Students and instructors may be frustrated with students' lack of understanding of sociological concepts. We suggest that the difficulty of teaching and learning sociology is that sociological concepts and relationships require the use of abstract reasoning patterns. Many students are unaccustomed to using these abstract reasoning patterns. We use…

Information-processing students solving problems in the 1960s and 1970s accepted the tradition of early experimental psychology in concentrating primarily on the study of "knowledge-lean" tasks in which competence can usually be acquired over short periods of learning and experience. In recent years, experts have examined knowledge-rich…

Two groups of nursery school children were administered the Preschool Interpersonal Problem Solving Test. The father absent group scored significantly lower, indicating a deficit in the type of thinking believed central to the child's adjustment to other people. Adds to studies citing possible negative effects of father absence in preschool years.…

Presents evidence indicating that spontaneously generated analogies can play a significant role in expert problem solving. Focuses on an evaluation strategy known as bridging that has been observed in solutions to both science and mathematics problems. Contains 23 references. (DDR)

An appreciation of the relationship between novice and expert knowledge frameworks may help develop an understanding of the process of transition from one to the other. Recommends the use of concept mapping. (DDR)

Similarity underlies fundamental cognitive capabilities such as memory, categorization, decision making, problem solving, and reasoning. Although recent approaches to similarity appreciate the structure of mental representations, they differ in the processes posited to operate over these representations. We present an experiment that…

A 47-item structured Q-sort methodology was used to identify and analyze the frameworks held by experienced emergency response personnel. The questionnaire was designed to determine the following: the characteristics/behaviors considered important by people within specific fields of emergency response; differences between individuals within a…

This paper outlines a theoretical perspective for studying student understandings of the concept of addition. The notion of operational sense is defined as a way to describe the notion of addition as a mathematical object, paving the way for an application of the theory of reification at this level. Previous frameworks relative to problem solving…

An alternative is suggested to conventional and propositional ways of thinking about curriculum matters. Curriculum theory is conventionally presented as statements of propositional knowledge even though the significance of tacit, non-propositional knowledge has been recognized in philosophy. It is suggested that attention be paid to how teachers…

This paper briefly reviews research on tasks in knowledge-rich domains including developmental studies, work in artificial intelligence, studies of expert/novice problem solving, and information processing analysis of aptitude test tasks that have provided increased understanding of the nature of expertise. Particularly evident is the finding that…

Evidence from video tapes of experts thinking aloud and using analogies in scientific problem solving is presented. Four processes appear to be important in using an analogy: (1) generating the analogy; (2) establishing confidence in the validity of the analogy relation; (3) understanding the analogous case; and (4) applying findings to the…