Response patterns of young children from two contrasting SES contexts to different numerical tasks with numbers 1–5

This study contributes to a multifaceted picture of young children’s emergent number knowledge by focusing on the variety of ways in which children express and use quantitative information. The authors’ aims are to (a) explore the extent to which quantifying collections 1–5 and using that information pose different levels of difficulty to children from 33 to 47?months old, (b) identify intra- and intertask response patterns, and (c) analyze the influence of socioeconomic status and age on these response patterns. Sixty-six children from two contrasting socioeconomic status groups (very low and middle) were asked to solve tasks with 1–5 elements in the context of a game. Using quantitative information turned out to be more complex than quantification. Intra- and intertask response patterns showed that children gradually come to understand the first five numerical values according to the numerical sequence in a much less strict way than that proposed by the cardinal-knowers model that posits that children progress in an orderly way in their number knowledge. Children in different ages and socioeconomic status groups were found to be more similar to each other when the whole arc of responses provided was considered than when solely correct performance was measured.     

Taurek, Numbers and Probabilities

In his paper, “Should the Numbers Count?" John Taurek imagines that we are in a position such that we can either save a group of five people, or we can save one individual, David. We cannot save David and the five. This is because they each require a life-saving drug. However, David needs all of the drug if he is to survive, while the other five need only a fifth each. Typically, people have argued as if there was a choice to be made: either numbers matter, in which case we should save the greater number, or numbers don't matter, but rather there is moral value in giving each person an equal chance of survival, and therefore we should toss a coin. My claim is that we do not have to make a choice in this way. Rather, numbers do matter, but it doesn't follow that we should always save the greater number. And likewise, there is moral value in giving each person an equal chance of survival, but it doesn't follow that we should always toss a coin. In addition, I argue that a similar approach can be applied to situations in which we can save one person or another, but the chances of success are different.     

Holistic representation of negative numbers is formed when needed for the task

Past research suggested that negative numbers are represented in terms of their components—the polarity marker and the number (e.g., Fischer & Rottmann, 2005 Fischer, M. and Rottmann, J. 2005. Do negative numbers have a place on the mental number line?. Psychology Science, 47(1): 22–32.  [Google Scholar]; Ganor-Stern & Tzelgov, 2008 Ganor-Stern, D. and Tzelgov, J. 2008. Negative numbers are generated in the mind. Experimental Psychology, 55(3): 157–163.  [Google Scholar]). The present study shows that a holistic representation is formed when needed for the task requirement. Specifically, performing the numerical comparison task on positive and negative numbers presented sequentially required participants to hold both the polarity and the number magnitude in memory. Such a condition resulted in a holistic representation of negative numbers, as indicated by the distance and semantic congruity effects. This holistic representation was added to the initial components representation, thus producing a hybrid holistic-components representation.     

Components representation of negative numbers: Evidence from auditory stimuli detection and number classification tasks

Past research suggested that negative numbers could be represented in terms of their components in the visual modality. The present study examined the processing of negative numbers in the auditory modality and whether it is affected by context. Experiment 1 employed a stimuli detection task where only negative numbers were presented binaurally. Experiment 2 employed the same task, but both positive and negative numbers were mixed as cues. A reverse attentional spatial–numerical association of response codes (SNARC) effect for negative numbers was obtained in these two experiments. Experiment 3 employed a number classification task where only negative numbers were presented binaurally. Experiment 4 employed the same task, but both positive and negative numbers were mixed. A reverse SNARC effect for negative numbers was obtained in these two experiments. These findings suggest that negative numbers in the auditory modality are generated from the set of positive numbers, thus supporting a components representation.     

应用烧伤整形外科技术治疗大面积皮肤撕脱伤

探讨大面积皮肤撕脱伤的治疗方法。分析总结大面积皮肤撕脱伤及合并损伤17例,根据伤情综合应用清创撕脱皮肤缝合、带蒂真皮下血管网皮瓣回植、撕脱皮肤反取皮回植、组织瓣转移修复、游离皮片移植、头皮取皮术、异体／异种皮移植、创面持续负压吸引VSD等治疗方法,观察创面修复、肢体外观及功能恢复情况。结果17例患者经综合治疗后创面均愈合。功能部位均予全层皮片或皮瓣修复;19处创面有深部组织外露,予皮瓣或肌瓣修复;随访6个月～3年,所有肢体功能良好。根据皮肤软组织损伤情况而综合运用多种烧伤整形外科技术修复大面积撕脱伤可缩短疗程,并最大可能保留受伤区域的功能与外观,改善患者生活质量。     

Development of navigational working memory: Evidence from 6‐ to 10‐year‐old children

The ability to learn complex environments may require the contribution of different types of working memory. Therefore, we investigated the development of different types of working memory (navigational, reaching, and verbal) in 129 typically developing children. We aimed to determine whether navigational working memory develops at the same rate as other types of working memory and whether the gender differences reported in adults are already present during development. We found that navigational working memory is less developed than both verbal and reaching working memory and that gender predicts performance only for navigational working memory. Our results are in line with reports that children made significantly more errors in far space than adults, showing that near space representation develops before far space representation.