The interconnection of orthographic, phonetic, and semantic skills with arithmetic fluency.

Arithmetic fluency is considered considers highly rely on language processing, encompassing essential skills. However, the independent predictive power of phonetic, semantic, or orthographic skills in relation to arithmetic fluency remains an unresolved query. This study introduces the common component hypothesis to elucidate the inconsistent findings in previous research. The hypothesis posits that significant correlations between language and mathematics hinge on whether the language and mathematics utilized in a given task share a common component. According to this hypothesis, processing skills for each of the three fundamental language elements (i.e., phonetic, semantic, orthographic) should correlate with arithmetic fluency, as these elements are also integral to simple arithmetic processing. A cohort of one hundred and ninety-eight primary school students participated in the study, undertaking a battery of tests assessing general cognitive abilities, psycholinguistic elements, and arithmetic fluency. The results showed that orthographic, phonetic, and semantic abilities independently predicted arithmetic fluency, even after accounting for all other cognitive predictors. These findings substantiate the common component hypothesis, providing empirical support for explaining the association between language and mathematics. This evidence contributes to addressing the interplay between language and mathematics in educational contexts.

Form perception is a cognitive correlate of the relation between subitizing ability and math performance.

"Subitizing" defines a phenomenon whereby approximately four items can be quickly and accurately processed. Studies have shown the close association between subitizing and math performance, however, the mechanism for the association remains unclear. The present study was conducted to investigate whether form perception assessed on a serial figure matching task is a potential non-numerical mechanism between subitizing ability and math performance. Three-hundred and seventy-three Chinese primary school students completed four kinds of dot comparison tasks, serial figure matching task, math performance tasks (including three arithmetic computation tasks and math word problem task), and other cognitive tasks as their general cognitive abilities were observed as covariates. A series of hierarchical regression analyses showed that after controlling for age, gender, nonverbal matrix reasoning, and visual tracking, subitizing comparison (subitizing vs. subitizing, subitizing vs. estimation) still contributed to simple addition or simple subtraction but not to complex subtraction ability or math word problem. After taking form perception as an additional control variable, the predictive power of different dot comparison conditions disappeared. A path model also showed that form perception fully mediates the relation between numerosity comparison (within and beyond the subitizing range) and arithmetic performance. These findings support the claim that form perception is a non-numerical cognitive correlate of the relation between subitizing ability and math performance (especially arithmetic computation).

Phonological activation improves semantic access provided by Arabic digits and number words.

Arabic digits (e.g., "6") and number words (e.g., "", "six", " ") are the two main formats in which numbers can be represented. Although phonology plays a crucial role in the semantic accessing of alphabetic words and Chinese characters, whether it is involved in the processing of different numerical notations, which have been shown to be dissociable from characters, is still unknown. Using a parity judgment task, two experiments were performed by manipulating the phonological relationship between a prime and a target. The primes were Tibetan or Chinese characters and the targets were presented either as number words (Experiment 1) or as Arabic digits (Experiment 2). The results revealed that phonology affected semantic access for both number words and Arabic digits. Additionally, semantic access for Tibetan number words was more susceptible to phonological information. The results for Arabic digits followed the same pattern for Tibetan primes. Further, language proficiency also affected the role of phonology in number processing. Participants with low language proficiency relied more on phonological encoding when processing the numbers. The results suggest that phonology is crucial for semantic access of different numerical notations.

The structure correspondence hypothesis predicts how word and sentence in language correlate with term and principle in mathematics.

The association between language and mathematics is an important debated topic. Here, we proposed a structure correspondence hypothesis to explain under what conditions language and mathematics are closely related. According to the hypothesis, there would be an association when they have equivalent structure. One hundred and fifty high school students were recruited to finish mathematical and language tests at the element level (i.e., geometric term processing and word analogy) and at the low-dimensional combination level (i.e., geometric principle processing and sentence completion) as well as the tests to measure cognitive covariates (general intelligence and spatial processing). After controlling for age, gender and cognitive covariates, geometric term processing and word analogy were closely correlated, and geometric principle processing and sentence completion were significantly correlated. No other correlations were found. The results support the structure correspondence hypothesis and provide a new perspective of structure of language and verbalized mathematics for the relation between language and mathematics.

Different cognitive mechanisms used for solving open and closed math problems.

Problem-solving skills are very important in our daily life. Almost all problem-solving studies have addressed the cognitive correlates of solving closed problems, but only limited studies have investigated the cognitive mechanisms of solving open problems. The current study aimed to systematically examine differences between the cognitive mechanisms used for solving open and closed problems. In total, the abilities of 142 high school students to solve open and closed problems were assessed, as were a series of general cognitive abilities as controlled variates. Analogical reasoning uniquely contributed to solving both open and closed math problems, after controlling for age, gender, and inductive reasoning. Reactive cognitive flexibility (measured using the Wisconsin card sorting test) and spatial working memory uniquely correlated only with solving open and closed math problems, respectively. These findings suggest that the cognitive processes used to solve open and closed math problems differ. Open and closed math problems appear to require more reactive cognitive flexibility for generation and more memory for retrieval, respectively.

L2 Verbal Fluency and Cognitive Mechanism in Bilinguals: Evidence from Tibetan-Chinese Bilinguals.

As a basic indicator of verbal ability, verbal fluency refers to the degree of fluency in the use of language to convey information. The different components of working memory play an important role in verbal fluency. The inhibiting control mechanism takes place during L2 production processing in bilinguals, which may affect their verbal fluency and distinguish them from native speakers. The participants of our study were 90 Tibetan-Chinese bilinguals and 30 native Chinese speakers. The study attempts to investigate the verbal fluency and cognitive mechanism of bilinguals' L2. The present study's results found L2 verbal fluency in Tibetan-Chinese bilinguals is significantly lower than that of native Chinese speakers. L2 verbal fluency has changed under the influence of their mother tongue, mainly manifested as its semantic fluency of L2 relying not only on the visuospatial sketchpad but also the phonological loop. Moreover, the processing of bilinguals' L2 is influenced by the processing mode of L1 in the verbal fluency task.

Language Ability Accounts for Ethnic Difference in Mathematics Achievement.

The mathematics achievement of minority students has always been a focal point of educators in China. This study investigated the differences in mathematics achievement between Han and minority pupils to determine if there is any cognitive mechanism that can account for the discrepancy. We recruited 236 Han students and 272 minority students (including Uygur and Kazak) from the same primary schools. They were tested on mathematics achievement, language abilities, and general cognitive abilities. The results showed that Han pupils had better mathematics achievement scores and better Chinese language ability than minority students. After controlling for age, gender, and general cognitive abilities, there were still significant differences in mathematics achievement between Han and minority students. However, these differences disappeared after controlling for language ability. These results suggest that the relatively poor levels of mathematics achievement observed in minority students is related to poor Chinese language skills.

Numerosity sense correlates with fluent mathematical abilities.

Although a great deal of research has shown a relationship between numerosity sense and mathematical ability, some studies have failed to do so. The main source of this inconsistency could be the varied ways of measuring mathematical abilities. The current investigation explored several types of mathematical ability, from basic number processing and arithmetic computation to numerical reasoning and arithmetic learning. We hypothesized that the correlation between numerosity sense and mathematical ability depends on mathematical fluency. A total of 415 college students (178 males and 237 females, mean age = 20.42 years, range = 18.58-22.92 years) were recruited to complete seven mathematical tasks and two numerosity tasks, as well as other tasks that measured cognitive covariates. The results showed that after controlling for age, gender, and related general cognitive factors, numerosity sense still predicted substantial variation in parity judgment, visual digit comparison, and computation, but it did not predict variation in numerosity estimation, auditory digit comparison, number series completion, or digit associate learning. The results suggest that numerosity sense correlates with mathematical abilities that accompany fluency.

Orthographic effects in second-language spoken-word recognition.

Evidence from both alphabetic and nonalphabetic languages has suggested the role of orthography in the processing of spoken words in individuals' native language (L1). Less evidence has existed for such effects in nonnative (L2) spoken-word processing. Whereas in L1 orthographic representations are learned only after phonological representations have long been established, in L2 the sound and spelling of words are often learned in conjunction; this might predict stronger orthographic effects in L2 than in L1 spoken processing. On the other hand, lexical codes are typically less integrated and stable in L2 than in L1, which might entail less pronounced orthographic effects. To explore this issue, Tibetan Chinese bilinguals judged whether Chinese spoken words presented in pairs were related in meaning. Some of the unrelated word pairs were orthographically related, and critically, this orthographic overlap induced a significant increase in response latencies. Compared to previous results from L1 listeners with the identical procedure, the orthographic effect for L2 listeners was more pronounced. These findings indicate that orthographic information is involuntarily accessed in native and nonnative spoken-word recognition alike and that it may play a more important role in the latter compared to the former. (PsycINFO Database Record