Mathematical development: the role of broad cognitive processes

This study investigated the role of broad cognitive processes in the development of mathematics skills among children and adolescents. Four hundred and forty-seven students (age mean [M] = 10.23 years, 73% boys and 27% girls) from an elementary school district in the US southwest participated. Structural equation modelling tests indicated that calculation complexity was predicted by long-term retrieval and working memory; calculation fluency was predicted by perceptual processing speed, phonetic coding, and visual processing; problem solving was predicted by fluid reasoning, crystallised knowledge, working memory, and perceptual processing speed. Younger students’ problem solving skills were more strongly associated with fluid reasoning skills, relative to older students. Conversely, older students’ problem solving skills were more strongly associated with crystallised knowledge skills, relative to younger students. Findings are consistent with the theoretical suggestion that broad cognitive processes play specific roles in the development of mathematical skills among children and adolescents. Implications for educational psychologists are discussed.     

The development of social cognitive processes among juvenile delinquents and nondelinquent peers

Using 10-11- and 14-15-year-old delinquents and nondelinquents, the present project was intended to investigate: (a) the extent of delinquent-nondelinquent differences on moral reasoning tasks; (b) whether delinquents display less knowledge about social problem solving, or social metacognition, in comparison to nondelinquents; (c) whether the deficiency by delinquents on a social problem-solving task could be lessened with clues to be more strategic; and (d) whether age differences would be observed on these tasks and whether age would interact with delinquency. Developmental differences for age, but not for delinquency, were observed in mortal judgment and prosocial moral reasoning. Under certain conditions, older nondelinquents performed better than other groups while considering some dimensions of social problem solving. Age differences were also noted on the social problem-solving task. When subjects were provided with clues as an organizing strategy on this latter task, all groups scored at levels higher than their no-clues performances. All groups except younger delinquents displayed comparable knowledge about strategies to solve social problems. The findings are discussed in terms of Flavell's processing model of social cognition.     

Mathematical learning difficulties and PASS cognitive processes

This study examined the relationships between mathematical learning difficulties (MLD) and the planning, attention, simultaneous, successive (PASS) theory of cognitive processing. The Cognitive Assessment System (CAS) was used to measure the PASS processes for a group of 267 Dutch students with MLD who attended either general or special education. The results showed that students with MLD performed lower than their peers on all CAS scales and that the MLD group contained many students with cognitive weaknesses in planning or successive processing. Moreover, students who had specific difficulties with the acquisition of basic math facts, the automatization of such facts, or word-problem solving were found to have distinct PASS cognitive profiles. In order to investigate the relationships between cognitive abilities and improvement in the mastery of basic math facts and problem solving, 165 of the students with MLD were given a special multiplication intervention. It appeared that the effectiveness of this particular intervention did not differ across the groups of students with specific cognitive weaknesses.     

Multimedia: Differences in cognitive processes observed with EEG

This study investigated the cognitive processes involved in learning information presented in multimedia and text format using electroencephalographic (EEG) measures. Thirty-eight students (19 gifted, and 19 average) learned material presented with text (text); text, sound, and picture (picture); and text, sound and video (video), while their EEG was recorded. Alpha power, which is inversely related to mental effort, was analyzed. For thetext presentation, the alpha power measures showed higher amplitudes (less mental activity) over the occipital and temporal lobes, and less alpha power (higher mental activity) over the frontal lobes. The results support the assumption that thevideo andpicture presentations induced visualization strategies, whereas thetext presentation mainly generated processes related to verbal processing. The results further showed that gifted students displayed less mental activity during all three formats of presentation. These differences were especially pronounced for thevideo format. No gender-related differences in EEG patterns related to the format of presentation were observed.     

Social and cognitive development in infancy

The relation between social and cognitive development has been important in several accounts of infant development. Piaget’s theory specifies that social and cognitive development become significant at eight months and are closely linked thereafter. Brazelton and Trevarthen emphasize the role of social development and social interaction from the first months on. Neither theory predominates today, but studies of new topics such as the infant’s discrimination of people and objects may help decide which is correct. In contrast to the question of when infants distinguish the social from the cognitive, it is obvious that the social and physical environments of the child are fundamentally different all along. Adults, and not objects, have expectations for infant development and adjust their behaviour in line with those expectations. The research on developmental outcome preserves this difference. Cognitive development in infancy proceeds normally in a great many environments. Social development, on the other hand, has been found to vary with the characteristics of the caregiver. This difference between social and cognitive development is interpretable in terms of the difference between the social and physical worlds.     

Domain specificity and variability in cognitive development

There are core-specific and noncore-specific domains of knowledge, but only the core-specific domains benefit from innate skeletal structures. Core skeletal domains are universally shared, even though their particular foci may vary; individuals vary extensively in terms of the noncore domains they acquire.     

The role of attention processes in near transfer of cognitive skills

We tested hypotheses about the respective roles of working memory, perceptual speed, knowledge, and attention disengagement processes in skill transfer errors that resemble einstellung effects or strong-but-wrong slips. Correlational evidence was consistent with the hypothesis that these errors are primarily due to the inability of learners to disengage attention from expected or familiar operations. The data also supported the notion that error proneness during near transfer generalizes across different skills. Contrary to expectations, working memory capacity had little or no relationship to either transfer errors or attention disengagement ability. Results are discussed with respect to skill training and individual differences in skill performance ability.     

The relative roles of IQ and cognitive processes in reading disability

The purpose of the present study was to explore the relative roles of IQ and cognitive processes in reading performance. A sample of 443 Spanish children (264 male, 179 female) ranging in age from 7 to 13 years were classified into four groups according to IQ scores (<80, 80–90, 90–110, >110) and reading disabled (RD) and normally achieving readers (NR) were compared. The findings indicate that IQ scores were not related to the differences between children with RD and NR. We found that reading‐related cognitive deficits do differentiate between RD and NR children. Therefore, IQ scores do not make a significant contribution to our understanding of reading disability.     

Maturation of cognitive processes from late childhood to adulthood

To characterize cognitive maturation through adolescence, processing speed, voluntary response suppression, and spatial working memory were measured in 8- to 30-year-old (N = 245) healthy participants using oculomotor tasks. Development progressed with a steep initial improvement in performance followed by stabilization in adolescence. Adult-level mature performance began at approximately 15, 14, and 19 years of age for processing speed, response inhibition, and working memory, respectively. Although processes developed independently, processing speed influenced the development of working memory whereas the development of response suppression and working memory were interdependent. These results indicate that processing speed, voluntary response suppression, and working memory mature through late childhood and into adolescence. How brain maturation specific to adolescence may support cognitive maturation is discussed.     

Mastering cognitive development theory in computer science education

To design an effective computer science curriculum, educators require a systematic method of classifying the difficulty level of learning activities and assessment tasks. This is important for curriculum design and implementation and for communication between educators. Different educators must be able to use the method consistently, so that classified activities and assessments are comparable across the subjects of a degree, and, ideally, comparable across institutions. One widespread approach to supporting this is to write learning objects in terms of Bloom’s Taxonomy. This, or other such classifications, is likely to be more effective if educators can use them consistently, in the way experts would use them. To this end, we present the design and evaluation of our online interactive web-based tutorial system, which can be configured and used to offer training in different classification schemes. We report on results from three evaluations. First, 17 computer science educators complete a tutorial on using Bloom’s Taxonomy to classify programming examination questions. Second, 20 computer science educators complete a Neo-Piagetian tutorial. Third evaluation was a comparison of inter-rater reliability scores of computer science educators classifying programming questions using Bloom’s Taxonomy, before and after taking our tutorial. Based on the results from these evaluations, we discuss the effectiveness of our tutorial system design for teaching computer science educators how to systematically and consistently classify programming examination questions. We also discuss the suitability of Bloom’s Taxonomy and Neo-Piagetian theory for achieving this goal. The Bloom’s and Neo-Piagetian tutorials are made available as a community resource. The contributions of this paper are the following: the tutorial system for learning classification schemes for the purpose of coding the difficulty of computing learning materials; its evaluation; new insights into the consistency that computing educators can achieve using Bloom; and first insights into the use of Neo-Piagetian theory by a group of classifiers.     

Acceleration of cognitive development of kindergartners

A curriculum modification was designed to increase the general reasoning ability of kindergarten children who were lagging in cognitive development. The new instructional program was tested with 22 kindergarters who scored in the lowest 9% on the EAS measure of general learning and reasoning ability taken from SRA's Survey of Basic Skills. The experimental children were given “learning set” instruction on unidimensional classification, unidimensional seriation, and number conservation for four months. They received the instruction in groups of six for 15 minutes two or three times per week during the time usually reserved for mathematics. Control children received the normal mathematics instruction, also in groups of six, for matched sessions. The experimental children made twice the gains of the control children on the EAS measure, and matched their gains on reading and mathematics achievement. It appears that integrated “learning set” training on these three Piagetian concepts may be a potent tool for aiding kindergartners who are falling behind their peers in cognitive development.     

Relations between brain and cognitive development

Goldman-Rakic reports important new data on cortical development in rhesus monkeys. Some of her findings, especially concurrent cortical synaptogenesis, may be related to cognitive capacities that develop in infancy. The developmental pattern of concurrent synaptogenesis in rhesus is consistent with a straightforward model of relations between brain and cognitive development: Concurrent synaptogenesis is hypothesized to lay the primary cortical foundation for a series of developmental levels in middle infancy that have been empirically documented in both human and rhesus infants. Other general brain changes, especially in the electroencephalogram, also seem to correlate with these levels, as well as with other levels that develop at other periods. In the simplest form of the model, these several factors all show synchronous developmental discontinuities at the time of emergence of a level. Specific research methods are available for specifying when discontinuities occur in development of both brain and behavior.