The relationship between phonological processing and arithmetic in children with learning disabilities

Phonological processing skills have not only been shown to be important for reading skills, but also for arithmetic skills. Specifically, previous research in typically developing children has suggested that phonological processing skills may be more closely related to arithmetic problems that are solved through fact retrieval (e.g., remembering the solution from memory) than procedural computation (e.g., counting). However, the relationship between phonological processing and arithmetic in children with learning disabilities (LDs) has not been investigated. Yet, understanding these relationships in children with LDs is especially important because it can help elucidate the cognitive underpinnings of math difficulties, explain why reading and math disabilities frequently co-occur, and provide information on which cognitive skills to target for interventions. In 63 children with LDs, we examined the relationship between different phonological processing skills (phonemic awareness, phonological memory, and rapid serial naming) and arithmetic. We distinguished between arithmetic problems that tend to be solved with fact retrieval versus procedural computation to determine whether phonological processing skills are differentially related to these two arithmetic processes. We found that phonemic awareness, but not phonological memory or rapid serial naming, was related to arithmetic fact retrieval. We also found no association between any phonological processing skills and procedural computation. These results converge with prior research in typically developing children and suggest that phonemic awareness is also related to arithmetic fact retrieval in children with LD. These results raise the possibility that phonemic awareness training might improve both reading and arithmetic fact retrieval skills.

Research Highlights

• Relationships between phonological processing and various arithmetic skills were investigated in children with learning disabilities (LDs) for the first time.
• We found phonemic awareness was related to arithmetic involving fact retrieval, but not to arithmetic involving procedural computation in LDs.
• The results suggest that phonemic awareness is not only important to skilled reading, but also to some aspects of arithmetic.
• These results raise the question of whether intervention in phonemic awareness might improve arithmetic fact retrieval skills.

     

THE ART OF RETRIEVAL: Stoicism?

This essay argues that retrieving insights from the ancient Stoic philosophers for Christian ethics is much more difficult than is often assumed and, further, that the “ethics of retrieval” is itself something worth prolonged reflection. The central problem is that in their ancient sense both Christianity and Stoicism are practically dense patterns of reasoning and mutually incompatible forms of life. Coming to see this clearly requires the realization that the encounter between Stoicism and Christianity is a conflict of lived traditions. Precisely because we cannot simply extract Stoic insights from the lives in which they belong, the task of determining how Stoicism is useful for Christianity is exceptionally challenging. Indeed, doing justice to the Stoics has more to do with facing an alternative to Christianity than it does with appropriating insights for our own use. These points are developed in conversation with Elizabeth Agnew Cochran's recent article on the Stoic influence upon Jonathan Edwards.     

Effect of cognitive bias modification-memory on depressive symptoms and autobiographical memory bias: two independent studies in high-ruminating and dysphoric samples

Memory bias is a risk factor for depression. In two independent studies, the efficacy of one CBM-Memory session on negative memory bias and depressive symptoms was tested in vulnerable samples. We compared positive to neutral (control) CBM-Memory trainings in highly-ruminating individuals (N?=?101) and individuals with elevated depressive symptoms (N?=?100). In both studies, participants studied positive, neutral, and negative Swahili words paired with their translations. In five study–test blocks, they were then prompted to retrieve either only the positive or neutral translations. Immediately following the training and one week later, we tested cued recall of all translations and autobiographical memory bias; and also measured mood, depressive symptoms, and rumination. Retrieval practice resulted in training-congruent recall both immediately after and one week after the training. Overall, there was no differential decrease in symptoms or difference in autobiographical memory bias between the training conditions. In the dysphoric but not in the high-ruminating sample, the positive training resulted in positive autobiographical bias only in dysphoric individuals with positive pre-existing bias.

We conclude that one session of positive retrieval-based CBM-Memory may not be enough to yield symptom change and affect autobiographical memory bias in vulnerable individuals.     

The influence of culture on children’s immediate and delayed retrieval

Culture shapes children’s memories. However, scant attention has been given to the influence of culture on specific memory stages. Thus, we conducted two controlled experiments to examine cultural differences in memory recall at immediate and delayed retrieval phases. In Studies 1 and 2 (n = 217), 7- to 10-year-old Chinese and Euro-Canadian children watched a story involving both social- and individual-focused scenarios. Participants then recalled the story immediately afterwards (Study 1) and 5–7 days later (Studies 1 and 2). Findings reveal that Chinese children accurately reported more details from the social-focused events than did their Euro-Canadian counterparts in the immediate interview, and this result was replicated after a delay in both studies. Moreover, as expected, within-country comparisons showed that Euro-Canadian children had better memory for individual- than for social-focused events in both studies. Chinese children, however, showed better memory for social- than for individual-focused events only in the immediate interview in Study 1; their delayed retrieval was not affected by event focus. These findings reveal that cultural variations in memory are evident in both immediate and delayed retrieval. Implications for future research are discussed.     

Priming effects of arithmetic signs in 10- to 15-year-old children

In this research, 10- to 12- and 13- to 15-year-old children were presented with very simple addition and multiplication problems involving operands from 1 to 4. Critically, the arithmetic sign was presented before the operands in half of the trials, whereas it was presented at the same time as the operands in the other half. Our results indicate that presenting the ‘x’ sign before the operands of a multiplication problem does not speed up the solving process, irrespective of the age of children. In contrast, presenting the ‘+’ sign before the operands of an addition problem facilitates the solving process, but only in 13 to 15-year-old children. Such priming effects of the arithmetic sign have been previously interpreted as the result of a pre-activation of an automated counting procedure, which can be applied as soon as the operands are presented. Therefore, our results echo previous conclusions of the literature that simple additions but not multiplications can be solved by fast counting procedures. More importantly, we show here that these procedures are possibly convoked automatically by children after the age of 13 years. At a more theoretical level, our results do not support the theory that simple additions are solved through retrieval of the answers from long-term memory by experts. Rather, the development of expertise for mental addition would consist in an acceleration of procedures until automatization.     

Trial-to-trial dynamics of selective long-term-memory retrieval with continuously changing retrieval targets

How do we control the successive retrieval of behaviorally relevant information from long-term memory (LTM) without being distracted by other potential retrieval targets associated to the same retrieval cues? Here, we approach this question by investigating the nature of trial-by-trial dynamics of selective LTM retrieval, i.e., in how far retrieval in one trial has detrimental or facilitatory effects on selective retrieval in the following trial. Participants first learned associations between retrieval cues and targets, with one cue always being linked to three targets, forming small associative networks. In successive trials, participants had to access either the same or a different target belonging to either the same or a different cue. We found that retrieval times were faster for targets that had already been relevant in the previous trial, with this facilitatory effect being substantially weaker when the associative network changed in which the targets were embedded. Moreover, staying within the same network still had a facilitatory effect even if the target changed, which became evident in a relatively higher memory performance in comparison to a network change. Furthermore, event-related brain potentials (ERPs) showed topographically and temporally dissociable correlates of these effects, suggesting that they result from combined influences of distinct processes that aid memory retrieval when relevant and irrelevant targets change their status from trial to trial. Taken together, the present study provides insight into the different processing stages of memory retrieval when fast switches between retrieval targets are required.     

编码和检索阶段的异质情境流畅性对再认的影响

研究采用经典的R/K范式，通过两个实验分别探讨编码阶段和检索阶段的异质情境流畅性对再认的影响。实验1为2（异质情境：高流畅性预期情境和低流畅性预期情境）×2（测试词类型：目标词和分心词）的混合实验设计，异质情境发生在编码阶段；实验2与实验1设计相同，不同之处在于异质情境发生在检索阶段。结果发现：异质情境发生在检索阶段时只对K反应产生影响，目标词在高流畅性情境中比低流畅性情境中的K反应率更高，而分心词在低流畅性情境中比高流畅性情境中的K反应率更高。研究表明，检索阶段的异质情境流畅性只影响熟悉性再认，支持双系统加工理论。