The Development of Size Sequencing Skills: An Empirical and Computational Analysis

We explore a long-observed phenomenon in children's cognitive development known as size seriation. It is not until children are around 7 years of age that they spontaneously use a strict ascending or descending order of magnitude to organize sets of objects differing in size. Incomplete and inaccurate ordering shown by younger children has been thought to be related to their incomplete grasp of the mathematical concept of a unit. Piaget first brought attention to children's difficulties in solving ordering and size-matching tests, but his tasks and explanations have been progressively neglected due to major theoretical shifts in scholarship on developmental cognition. A cogent alternative to his account has never emerged, leaving size seriation and related abilities as an unexplained case of discontinuity in mental growth. In this monograph, we use a new training methodology, together with computational modeling of the data to offer a new explanation of size seriation development and the emergence of related skills. We describe a connected set of touchscreen tasks that measure the abilities of 5- and 7-year-old children to (a) learn a linear size sequence of five or seven items and (b) identify unique (unit) values within those same sets, such as second biggest and middle-sized. Older children required little or no training to succeed in the sequencing tasks, whereas younger children evinced trial-and-error performance. Marked age differences were found on ordinal identification tasks using matching-to-sample and other methods. Confirming Piaget's findings, these tasks generated learning data with which to develop a computational model of the change. Using variables to represent working and long-term memory (WM and LTM), the computational model represents the information processing of the younger child in terms of a perception-action feedback loop, resulting in a heuristic for achieving a correct sequence. To explain why older children do not require training on the size task, it was hypothesized that an increase in WM to a certain threshold level provides the information-processing capacity to allow the participant to start to detect a minimum interval between each item in the selection. The probabilistic heuristic is thus thought to be replaced during a transitional stage by a serial algorithm that guarantees success. The minimum interval discovery has the effect of controlling search for the next item in a principled monotonic direction. Through a minor additional processing step, this algorithm permits relatively easy identification of ordinal values. The model was tested by simulating the perceptual learning and action selection processes thought to be taking place during trial-and-error sequencing. Error distributions were generated across each item in the sequence and these were found to correspond to the error patterns shown by 5-year-olds. The algorithm that is thought to emerge from successful learning was also tested. It simulated high levels of success on seriation and also on ordinal identification tasks, as shown by 7-year-olds. An unexpected finding from the empirical studies was that, unlike adults, the 7-year-old children showed marked difficulty when they had to compute ordinal size values in tasks that did not permit the use of the serial algorithm. For example, when required to learn a non-monotonic sequence where the ordinal values were in a fixed random order such as “second biggest, middle-sized, smallest, second smallest, biggest,” each item has to be found without reference to the “smallest difference” rule used by the algorithm. The difficulty evinced by 7-year-olds was consistent with the idea that the information in LTM is integrally tied to the search procedure itself as a search-and-stop based on a cumulative tally, as distinct from being accessed from a more permanent and atemporal store of stand-alone ordinal values in LTM. The implications of this possible constraint in understanding are discussed in terms of further developmental changes. We conclude that the seriation behavior shown by children at around 7 years represents a qualitative shift in their understanding but not in the sense that Piaget first proposed. We see the emergent algorithm as an information-reducing device, representing a default strategy for how humans come to deal with potentially complex sets of relations. We argue this with regard to counting behaviors in children and also with regard to how linear monotonic devices for resolving certain logical tasks endure into adulthood. Insofar as the monograph reprises any aspect of the Piagetian account, it is in his highlighting of an important cognitive discontinuity in logicomathematical understanding at around the age of 7, and his quest for understanding the transactions with the physical world that lead to it.     

The Production Effect Improves Memory in 7- to 10-Year-Old Children

The production effect—whereby reading words aloud improves memory for those words relative to reading them silently—was investigated in two experiments with 7- to 10-year-old children residing in Brisbane, Australia. Experiment 1 (n = 41) involved familiar printed words, with words read aloud or silently appearing either in mixed- or blocked-list formats in a within-subject design. Recognition for words read aloud was better than for those read silently, an effect consistent across both list formats. These results were confirmed in Experiment 2 (n = 40) using longer lists of printed novel nonwords. Final analyses indicated that the production effect was comparable for words and nonwords. Findings are discussed in relation to the distinctiveness account and the use of production as a mnemonic in children.     

The effects of self-handicapping on attributions and perceived judo competence

The aim of this study was to examine hypotheses derived from Jones and Berglas's (1978) self-handicapping model. It was hypothesized that individuals using many self-handicaps would use more internal attributions and report greater gains in perceived judo ability following success than individuals using few self-handicaps. In addition, it was hypothesized that individuals using many self-handicaps would use more external attributions and report less reduction in perceived judo ability following failure. Fifty-three judo players completed measures of trait self-handicapping, situational self-handicapping and a measure of perceived judo ability before competition. Following competition, the participants completed the Causal Dimension Scale II and the measure of perceived judo ability for a second time. Analyses of variance revealed that high self-handicappers attributed failure to more external factors than low self-handicappers. It was also found that high self-handicappers reported less of a reduction in perceived judo ability following failure than low self-handicappers. The findings therefore provide support for the potential short-term benefits of self-handicapping in sport, although further research is required to examine the long-term implications of using self-handicaps.     

The components of the female athlete triad do not identify all physically active females at risk

The purpose of the present study was to assess the effectiveness of the triad components (amenorrhoea, disordered eating, and osteoporosis) in identifying physically active women at risk of long-term health problems. Eighty-two females (mean age 31.1 years, s = 6.7; body mass 58.4 kg, s = 6.6; stature 1.65 m, s = 0.06) completed training, menstrual, and dietary questionnaires. Bone mineral density and size-adjusted bone mineral density were assessed at the femoral neck and lumbar spine using dual energy X-ray absorptiometry. Seventy-eight percent of participants were eumenorrhoeic, 20% were oligomenorrhoeic, and 2% were amenorrhoeic. Thirty-six percent and 55% reported disordered eating practices in the present and past respectively. Eighty-one percent, 17%, and 2% were classified as normal, osteopaenic, and osteoporotic at the femoral neck respectively; 92% were normal, 7% osteopaenic, and 1% osteoporotic at the lumbar spine. No significant differences in femoral neck size-adjusted bone mineral density were observed between eumenorrhoeic and oligo/amenorrhoeic participants (F(2,80) = 0.119, P = 0.73); eumenorrhoeic participants had significantly greater lumbar spine size-adjusted bone mineral density (F(2,80) = 9.79, P = 0.003). Disordered eating participants had significantly lower femoral neck size-adjusted bone mineral density than those reporting no disordered eating (F(2,80) = 13.816, P = 0.000). Twenty-two percent of participants fulfilled triad criteria, while 55% were "at risk" of long-term health problems. An accumulation of conditions resulted in lower lumbar spine size-adjusted bone mineral density (F(1,80) = 6.074, P = 0.004). The current triad components do not identify all women "at risk" and more appropriate criteria such as exercise-related menstrual alterations, disordered eating, and osteopaenia are suggested.