This collection of 58 articles from the recently-published third edition of the International Encyclopedia of Education focuses on learning, memory, attention, problem solving, concept formation, and language. Learning and cognition is the foundation of cognitive psychology and encompasses many topics including attention, memory, categorization,…

Cognitive factors related to problem solving have been explored, but affective factors also play an important role in the teaching of mathematical problem solving. This paper outlines the theories of George Mandler and Bernard Weiner, providing a useful background for research related to affect and problem solving. Data related to the two theories…

The focus of this paper is on cognitive science as a model for understanding the application of human skills toward effective problem-solving. Sections include: (1) "Introduction" (discussing information processing framework, expert-novice distinctions, schema theory, and learning process); (2) "Application: The Expert-Novice…

Included are a general introduction to the topic of metacognition, a discussion of how metacognition is involved in mathematical performance, and a short section on metacognition and instruction. (MNS)

According to Humean framework, relations are judged to be causal to extent that they are characterized by regularity, continuity, and covariation among college students and college-bound 11- and 14-year-olds. Presents subjects with information about one of the following indices: potential causal factor covaried with effect and potential causal…

Discussed is one "quite general" attribute that can differentiate problem representations: the kinds of entities that are included -- the cognitive objects that the system can reason about in a relatively direct way, and that are included continuously in the representation. The ontology of a domain is significant for four reasons. First,…

This survey of intelligent tutoring systems describes the components of these systems, different teaching scenarios, and the relation of these systems to a theory of instruction. It argues that the underlying pedagogical approach is to make latent knowledge manifest by using different forms of quantitative modeling: (1) simulating physical…

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…

Two studies examined the relation between current developmental levels, as estimated by IQ, and proximal levels of development, as estimated by the efficiency of learning and transfer in assisted contexts. Subjects were 8- to ll-year-old children. Theoretical and clinical implications are discussed. (HOD)

Two aspects of instructional practice in mathematics are discussed: the process of developing instructional activities and the importance of engaging students in mathematical discussion. The National Council of Teachers of Mathematics (NCTM) Standards are evaluated based on this discussion. (CW)

Order Analysis is a multidimensional scaling (MDS) technique for determining order among items. This paper reviews articles by different authors describing various components of ordering theory. A common nomenclature is constructed to link together the various ideas and is applied to a fairly simple set of data. Topics discussed include a more…

Reports on a study into the relationship between a student's ability to solve problems in chemistry and his/her understanding of molecular concepts. Argues that teaching students to solve problems about chemistry is not equivalent to teaching about the nature of matter. (TW)

Asserts that metacognition is one of the most important developments in the contemporary study of learning. Proposes a theoretical analysis of a number of interrelated issues with regard to their importance for metacognition. Focuses on strategy selection in light of the impasse-based theories of problem solving. (CFR)

Research of expert-novice differences is reviewed seeking to show experts possess a large body of domain specific knowledge. It was postulated that experts possess schemas enabling them to classify problems, call up the appropriate automated rules, then apply these to obtain the solution. (DC)

This study identified and examined the validity of a Brunerian theory-based, aptitude-enhancing, standardized educational simulation by assessing spatial visualization ability of students assigned to simulation and non-simulation treatment groups. Results indicate the simulation increased high aptitude learners' efficiency (and initially…