Transcoding of French numbers for first- and second-language learners in third grade.

Transcoding is the process of translating between spoken and written numbers, and it is correlated with other mathematical skills. In the present study, we investigated the link between French number writing of 49 students in the third grade (aged 7-9 years) and their language skills. Transcoding in French is of particular interest because the spoken number language system does not completely correspond to that of the written digits (e.g., quatre-vingt-dix [four-twenty-ten] and 90). We hypothesised that the complex linguistic structure of spoken numbers in French would be challenging for students who are learning to transcode. First and second French-language learners' accuracy and errors were recorded during a writing task of 3- to 7-digit numbers. Children also completed linguistic tests (e.g., receptive vocabulary, receptive syntax). Results showed that first- and second-language learners did not differ in their transcoding accuracy. Number size, decade complexity of stimulus number words in French (i.e., numbers containing a complex decade, operationalized as a number between soixante-dix, 70, and quatre-vingt-dix-neuf, 99), and receptive vocabulary predicted children's French transcoding skills. Students were more likely to produce errors (e.g., 68 or 6018 for 78) when they transcoded complex decade numbers compared with simple decade numbers. When an error was made on the complex decade portion of a number, it was likely a lexical error. In conclusion, third graders, both first- and second-language learners, found complex decade numbers challenging and their performance was related to their general vocabulary skills.

Impact of Innovative Emotion Training in Preschool and Kindergarten Children Aged from 3 to 6 Years.

Children's emotional abilities have been shown to be related to academic performance, peer acceptance, and in-school adjustment. The main objective of this study was to evaluate the effect of innovative emotion training designed to promote the emotional abilities of 316 preschool/kindergarten children aged from 3 to 6 years old enrolled in public schools in the first three levels (L1, L2, and L3). Another objective was to examine the transfer effects on language comprehension and mathematics abilities. The emotion training (eight sessions) focused on the identification, comprehension, and expression of emotions and were co-constructed with teachers. Children were tested before and after the training on emotion, language, and mathematics skills. Results showed an improvement in emotional abilities in young children of L1 (3-4 years) and L2 (4-5 years) in the intervention group compared to those in the non-intervention group. Also, although children's emotion basic abilities were correlated with their language comprehension and mathematics abilities, the nature of this link was not demonstrated to be causal. Findings are discussed in regard to the influence of the level and in regard to links with academic variables.

Does Conceptual Transparency in Manipulatives Afford Place-Value Understanding in Children at Risk for Mathematics Learning Disabilities?

We investigated the effect of conceptual transparency in the physical structure of manipulatives on place-value understanding in typically developing children and those at risk for mathematics learning disabilities. Second graders were randomly assigned to one of three manipulatives conditions: (a) attachable beads that did not make the denominations or ones in the denominations transparent, (b) pipe cleaners that made only the denominations transparent, and (c) string beads that made both the denominations and the ones in the denominations transparent. Participants used the manipulatives to represent double- and triple-digit numerals. Statistical analyses indicated that the transparency of the denominations, but not the transparency of the ones in the denominations, is responsible for children's number representation and place-value understanding. Descriptive analyses of their responses revealed that the at-risk children were at a greater disadvantage than their typically developing peers with the attachable beads, failing to use place-value concepts to interpret their representations.

Individual differences in the development of children's arithmetic fluency from grades 2 to 3.

In the present research, we provide empirical evidence for the process of symbolic integration of number associations, focusing on the development of simple addition (e.g., 5 + 3 = 8), subtraction (e.g., 5 - 3 = 2), and multiplication (e.g., 5 × 3 = 15). Canadian children were assessed twice, in Grade 2 and Grade 3 (N = 244; 55% girls). All families were English-speaking, and parent education levels ranged from high school to postgraduate, with a median of community college. In Grade 2, children completed general cognitive tasks (i.e., receptive vocabulary, working memory, nonverbal reasoning, and inhibitory control). In both grades, children completed single-digit addition and complementary subtraction problems. In Grade 3, they completed single-digit multiplication problems and measures of applied mathematics, specifically, word-problem solving, algebra, and measurement. We found that addition and subtraction were reciprocally related (controlling for cognitive skills). Subtraction fluency predicted multiplication in Grade 3, whereas addition fluency did not. In Grade 3, both subtraction and multiplication fluency were predictors of applied mathematics, with multiplication partially mediating the relation between subtraction and applied mathematics performance. These findings support the view that learning arithmetic associations is a hierarchical process. As students practice each new skill, individual differences reflect the integration of the novel component into the developing associative network. (PsycInfo Database Record (c) 2021 APA, all rights reserved).

The Impairment of Number Transcoding Abilities in Individuals with Amnestic Mild Cognitive Impairment and Alzheimer Disease: Associations With Attentional and Executive Functions.

BACKGROUND: Studies have shown that number transcoding abilities (ie, translating numbers from one numerical code to another) are affected early in the development of Alzheimer disease (AD). However, no study has extensively explored how these abilities are affected in individuals with mild cognitive impairment (MCI). OBJECTIVE: To determine the contribution that number transcoding tasks make to the identification of MCI, and to pinpoint the cognitive correlates of performance in these tasks. METHODS: We compared the performance of 20 individuals with the amnestic subtype of MCI, eight individuals with AD, and 20 healthy controls on three number transcoding tasks. RESULTS: The results confirmed the presence of number transcoding impairment in the individuals with AD. The individuals with MCI were found to be impaired in two of the transcoding tasks; these individuals produced perseverations of the input code-the most noteworthy error type in individuals with AD. In addition, the relationship between impairment in attentional and executive functions and impairment in number transcoding was supported by the correlational analyses. CONCLUSIONS: This study confirmed that number transcoding abilities are impaired in individuals with MCI, although less severely than in individuals with AD. Our results provide evidence for the clinical value of including number transcoding tasks in the assessment of cognitive deficits associated with pathological aging.

Reduced Lexical Access to Verbs in Individuals With Subjective Cognitive Decline.

The detection of cognitive impairment in individuals with subjective cognitive decline (SCD) may improve detection of the emergence of Alzheimer's disease (AD) pathology. This detection is challenging, however, given the lack of sensitive assessment tools. The main objective of this study was to determine the potential contribution of word production tasks to the detection of cognitive impairment in SCD. The performances of 20 individuals with SCD, healthy controls (HCs), and individuals with mild cognitive impairment (MCI) were compared on object and action naming and free fluency tasks. Participants with SCD performed similarly to HCs, while both groups differed significantly from participants with MCI in object naming and object fluency. Results showed that participants with SCD were at the midpoint between HCs and participants with MCI in action naming. They also revealed a HCs > SCD = MCI pattern in action fluency. This study provides evidence that verb production is impaired in SCD and that SCD is a pre-MCI condition.

The Mental Number Line in Dyscalculia: Impaired Number Sense or Access From Symbolic Numbers?

Numbers may be manipulated and represented mentally over a compressible number line oriented from left to right. According to numerous studies, one of the primary reasons for dyscalculia is related to improper understanding of the mental number line. Children with dyscalculia usually show difficulty when they have to place Arabic numbers on a physical number line. However, it remains unclear whether they have a deficit with the mental number line per se or a deficit with accessing it from nonsymbolic and/or symbolic numbers. Quebec French-speaking 8- to 9-year-old children with (24) and without (37) dyscalculia were assessed with transcoding tasks ( number-to-position and position-to-number) designed to assess the acuity of the mental number line with Arabic and spoken numbers as well as with analogic numerosities. Results showed that children with dyscalculia produced a larger percentage absolute error than children without mathematics difficulties in every task except the number-to-position transcoding task with analogic numerosities. Hence, these results suggested that children with dyscalculia do not have a general deficit of the mental number line but rather a deficit with accessing it from symbolic numbers.

The role of fingers in number processing in young children.

The aim of the present study was to investigate the relationship between finger counting and numerical processing in 4-7-year-old children. Children were assessed on a variety of numerical tasks and we examined the correlations between their rates of success and their frequency of finger use in a counting task. We showed that children's performance on finger pattern comparison and identification tasks did not correlate with the frequency of finger use. However, this last variable correlated with the percentages of correct responses in an enumeration task (i.e., Give-N task), even when the age of children was entered as a covariate in the analysis. Despite this correlation, we showed that some children who never used their fingers in the counting task were able to perform optimally in the enumeration task. Overall, our results support the conclusion that finger counting is useful but not necessary to develop accurate symbolic numerical skills. Moreover, our results suggest that the use of fingers in a counting task is related to the ability of children in a dynamic enumeration task but not to static tasks involving recognition or comparison of finger patterns. Therefore, it could be that the link between fingers and numbers remain circumscribed to counting tasks and do not extent to static finger montring situations.