Although learning mathematics certainly depends upon accurate understanding of the facts of multiplication, it requires much more. This study examines the relationship between a meaningful understanding of arithmetic operations and the mastery of basic facts. The study began with a joke about a mistaken mathematical fact. The children appreciated…

This study aimed to evaluate the impact of individual differences in working memory capacity on number transcoding. A recently proposed model, ADAPT (a developmental asemantic procedural transcoding model), accounts for the development of number transcoding from verbal form to Arabic form by two mechanisms: the learning of new production rules…

Two experiments tested a neo-Piagetian model of verbal short-term memory, comparing it with the articulatory loop model. Findings indicated that the proposed model accounted for effects of M capacity, word length, and presentation modality on short-term memory. The model's fit to the data was acceptable, and parameter estimates were consistent…

Discussed theories relating forgetting rates and age. Developed a theory and mathematical model for examining storage failure versus retrieval failure, true forgetting versus test-induced processes, and storage- versus retrieval-based reminiscence. A series of experiments studied these factors in children and seniors. (BC)

Replies to Guttentag's commentary on Brainerd and others' research on forgetting. Discusses measurement of forgetting, differentiation of storage from retrieval factors, and ramifications of findings for strategic or process theories of memory development. Considers the role of research on forgetting in child development research. (BC)

Category theory concept of a commutative diagram was used to construct a model of the way in which symbolic processes are applied to problem solving. It was shown that several different levels of thought can be distinguished within the basic model. Two experiments testing the theory are reported. (Author/RD)

Presents a unified theoretical approach to children's false-memory reports that deals with both spontaneous and implanted reports. Details false recognition and misinformation models that allow researchers to determine the impact of identity judgment, nonidentity judgment, and similarity judgment in false memory reports. (LBT)

Notes that there has been far less mathematical modeling of children's memory than of adults' memory. Explores the flaw in fuzzy-trace model, and maintains that situations in which partial verbatim information is used along with partial gist information fall outside the boundary of this type of model. Suggests refining the concepts of and…

Notes that a multitude of studies have demonstrated that misleading postevent information affects people's memories. Contents that the fuzzy-trace theory is a positive step toward understanding the malleability of memory. Discusses fuzzy-trace theory in terms of three primary areas of study: altered response format, maximized misinformation…

Notes that spontaneous false memories are a routine part of everyday memory and more common than implanted false memory. Commends the fuzzy-trace theory for the separation and explanation of these two sources of inaccuracy. Demonstrates the theory's handling of three phenomena concerning the creation and maintenance of false memories. (LBT)

Notes that fuzzy-trace theory provides a link between indices of memory performance and the theoretical processes that underlie that performance. Author argues false memories can arise because of processes that normally affect forgetting. Maintains that, to the extent that memories lose their distinctive properties, such memories may become…

Suggests that fuzzy-trace theory may replace dominant metaphors of cognitive development. Discusses theoretical climate of the 1980s when the theory was first formulated. Describes how, by integrating new ideas about how cognitive development was viewed into a coherent framework, the theory slowly gained acceptance as critical aspects of it were…

Comments that fuzzy-trace theory is broadly comprehensive and contains compelling experimental manipulations; debates assumptions of the theory. Describes aspects of the historical and theoretical context of the theory and its usefulness in organizing false memory phenomena. Suggests some limitations concerning the representation of child…

Describes the origins of fuzzy-trace theory, including Piagetian, interference, information-processing, and judgment and decision-making influences. Discusses similarities and differences between fuzzy-trace theory and other approaches to memory falsification. Considers the theory's predictions regarding age differences in memory falsification and…

This study examined effects of individual differences in speak-span scores and variations in memory demands on class-inclusion performance of 10-, 13-, and 15-year-olds. Results from regression analyses and the mathematical model indicated that differences in age, speak span, and memory load affected performance. Effects of speak span and memory…