No abstract

This study examined whether counting and rapid automatized naming (RAN) could operate as significant predictors of both later arithmetic calculation and reading fluency. The authors also took an important step to clarify the cognitive mechanisms underlying these predictive relationships by controlling for the effect of phonological awareness and verbal short-term memory. Due to rather strong covariance between verbal short-term memory and phonological awareness, short-term memory could be controlled only partially. Participants, 200 children from a longitudinal study, were followed from age 5 to 10 years. Structural equation modeling showed counting to be a strong predictor, not only of later calculation but also of reading fluency. Similarly, RAN predicted later calculation as well as reading fluency. These results indicated that counting and RAN were not skill-speciflc predictors. Phonological awareness explained part of counting and RAN. However, the predictive effects of these 2 skills on calculation and reading remained even after phonological awareness and partially for verbal short-term memory were controlled. Thus, further exploration of other cognitive processes underlying these 2 abilities is needed.

Utilizing a longitudinal sample of Finnish children (ages 6-10), two studies examined how early linguistic (spoken vs. written) and spatial skills predict later development of arithmetic, and whether counting sequence knowledge mediates these associations. In Study 1 (N = 1,880), letter knowledge and spatial visualization, measured in kindergarten, predicted the level of arithmetic in first grade, and later growth through third grade. Study 2 (n = 378) further showed that these associations were mediated by counting sequence knowledge measured in first grade. These studies add to the literature by demonstrating the importance of written language for arithmetic development. The findings are consistent with the hypothesis that linguistic and spatial skills can improve arithmetic development by enhancing children's number-related knowledge.

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Background Children have been found to report and demonstrate math anxiety as early as the first grade. However, previous results concerning the relationship between math anxiety and performance are contradictory, with some studies establishing a correlation between them while others do not. These contradictory results might be related to varying operationalizations of math anxiety. Aims In this study, we aimed to examine the prevalence of math anxiety and its relationship with basic arithmetic skills in primary school children, with explicit focus on two aspects of math anxiety: anxiety about failure in mathematics and anxiety in math‐related situations. Sample The participants comprised 1,327 children at grades 2–5. Methods Math anxiety was assessed using six items, and basic arithmetic skills were assessed using three assessment tasks. Results Around one‐third of the participants reported anxiety about being unable to do math, one‐fifth about having to answer teachers’ questions, and one tenth about having to do math. Confirmatory factor analysis indicated that anxiety about math‐related situations and anxiety about failure in mathematics are separable aspects of math anxiety. Structural equation modelling suggested that anxiety about math‐related situations was more strongly associated with arithmetic fluency than anxiety about failure. Anxiety about math‐related situations was most common among second graders and least common among fifth graders. Conclusions As math anxiety, particularly about math‐related situations, was related to arithmetic fluency even as early as the second grade, children's negative feelings and math anxiety should be identified and addressed from the early primary school years.

This study examined the extent to which reading and arithmetic skills show covariation at Grade 1 and at Grade 7, to what extent this covariation is time-invariant or time-specific, and to what extent different antecedents will predict these time-invariant and time-specific portions of the covariation. The reading and arithmetic skills of a total of 1,335 Finnish children were assessed at the end of Grade 1 and then again at the end of Grade 7. Phonological awareness, letter knowledge, rapid automatized naming (RAN), counting, and parental education levels were measured in kindergarten; working memory at Grade 1 and nonverbal reasoning at Grade 3. The results showed that reading and arithmetic had a substantial amount of covariation at grades 1 and 7, and that most of the covariation between these grades was time-invariant and could be predicted by RAN, counting, letter knowledge, working memory, and nonverbal reasoning. The time-specific portion of the covariation between reading and arithmetic in Grade 1 was predicted by phonological awareness, letter knowledge, and counting; while time-specific covariation in Grade 7 was predicted by parental education level and nonverbal reasoning.

Response to intervention (RTI) can be considered an everyday practice in many parts of the United States, whereas, in Finland, only recently has a new framework for support in learning taken shape. Choosing Finland as the comparative partner for this policy paper is justified as its educational system has been widely referenced on the basis of good Programme for International Student Assessment (PISA) results. The results of the present comparative article showed first, that the U.S. RTI was primarily intended for diagnosing and preventing learning disabilities whereas the Finnish RTI is mainly an administrative structure for support. Second, the U.S. RTI includes clear definitions regarding the intensity, duration, and content of support provided within each tier whereas the Finnish version contains no explicit guidelines for support. Third, the U.S. RTI assumes no special educational services in the first two tiers, but the Finnish framework includes special educational services from the onset of support. Implications for policy and practice are discussed.

Several studies have shown that rapid automatized naming (RAN) is a significant predictor of mathematics, but the nature of their relationship remains elusive. Thus, the purpose of this meta-analysis was to estimate the size of their relationship and determine the conditions under which they correlate. We used a random-effects model analysis of data from 38 studies (33 unique samples, 151 correlations, 7,135 participants) to examine the size of the RAN-mathematics relationship and the role of different moderators (i.e., math measure and variable, type of RAN task, math age, study design, and sample characteristics). The results showed a significant correlation between RAN and mathematics (r ϭ .37; 95% confidence interval ) as well as a large heterogeneity of individual correlations. The results also revealed that RAN produced stronger correlations with arithmetic calculation tasks than with general achievement tests; stronger correlations with single-digit calculation tasks than multidigit calculation tasks; and stronger correlations with math fluency tasks than math accuracy tasks. The effect of these moderators suggests that part of the reason why RAN predicts mathematics is that they both require quick access to and retrieval of phonological representations from long-term memory. Our findings also suggest that RAN objects or colors can be used as early predictors of mathematical skill, especially of arithmetic fluency.