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European Journal of Education Studies ISSN: 2501 - 1111 ISSN-L: 2501 - 1111 Available on-line at: www.oapub.org/edu Volume 3 │ Issue 12 │ 2017 doi: 10.5281/zenodo.1098252 COGNITIVE SKILLS AND MATHEMATICAL PERFORMANCE, MEMORY (SHORT-TERM, LONG-TERM, WORKING), MENTAL PERFORMANCE AND THEIR RELATIONSHIP WITH THE MATHEMATICAL PERFORMANCE OF PRE-SCHOOL STUDENTS John Manginas1i, Constantinos Nikolantonakis2, Aikaterini Papageorgioy3 1,2 University of Western Macedonia, Department of Primary Education, Florina, Greece 3 School counselor of Pre-School Education, 43rd educational region, Arta, Greece Abstract: The purpose of this research is to examine the effect of cognitive capabilities and flowing intelligence on mathematical proficiency of pre-school students, shortly before attending elementary school. Eighty kindergarten students participated in the survey. Student performance was assessed in terms of short term memory (auditory and verbal short-term memory, visual short-term, semantic and non-semantic memory), working auditory and visual memory, visual long-term memory, fluid intelligence and math performance. Based on the results, there was a strong positive correlation (,777) between verbal working memory and mathematical performance. Moderate positive correlation between mathematical performance and short-term memory, visual spatial working memory, visual long-term memory and fluid intelligence was also found. To identify which factors have predictive value for mathematical competence, regression analysis was used. It has been found that verbal working memory is an important factor in explaining mathematical competence. Combined with long-term visual spatial working memory, they can more accurately predict the level of mathematical performance. The results show that verbal working memory is the best predictor of mathematical performance. Visual long-term memory follows, and finally Copyright © The Author(s). All Rights Reserved. © 2015 – 2017 Open Access Publishing Group 1 John Manginas, Constantinos Nikolantonakis, Aikaterini Papageorgioy COGNITIVE SKILLS AND MATHEMATICAL PERFORMANCE, MEMORY (SHORT-TERM, LONG-TERM, WORKING), MENTAL PERFORMANCE AND THEIR RELATIONSHIP WITH THE MATHEMATICAL PERFORMANCE OF PRE-SCHOOL STUDENTS visual spatial working memory seems to have the lowest impact on a student’s mathematical performance. Keywords: mathematical performance, short-term memory, working memory, longterm memory, fluid intelligence 1. Introduction Mathematics is a basic lesson in every curriculum, and any difficulties in this field affect both school performance and everyday life, since mathematical skills are very important in modern Western societies in a multitude of cases (i.e. decision-making) (Reyna & Brainerd, 2007). Mathematical knowledge is a special case, since new knowledge requires mastery of any relevant previous knowledge, which is not the case with other subjects. In the case of students with learning difficulties in mathematics, teaching and learning of new concepts and skills is considered inefficient without the prerequisite concepts or skills being acquired (Miller & Mercer 1997). Surveys show that a lot of students face difficulties related to mathematical learning. Approximately 7% of school children have a cognitive or neuropsychological deficit that interferes with the acquisition of adequate mathematical skills (Geary, 1993, Gross-Tsur, Manor & Shalev, 1996). While relevant predictive indicators of literacy development have been studied during pre-school years, the predictive factors of mathematical skills have not been explored as much. Several cognitive mechanisms on which mathematical skills are based have been proposed and their contribution to the development of mathematical skills has been studied. According to the available studies, it appears that the ability to distinguish quantities (size comparisons), counting capacity, number recognition, working memory, short-term memory, long-term memory, object identification, and speed of information processing are the basis for understanding of several important principles of the arithmetic system (Cf Resnick, 1989, Okamoto & Case, 1996, Gersten, Jordan, & Flojo, 2005, Lemer, Dehaene, Spelke, & Cohen, 2003 Geary, Hamson & Johnston 1997). Few studies have been systematically investigating the factors determining mathematical learning, especially among pre-school children, particularly during the transition from kindergarten to elementary school. (Geary, Hamson, & Hoard, 2000; Geary, Hoard, & Hamson, 1999). However, the ability to predict mathematical performance in elementary school on the basis of early math performance in kindergarten poses the risk that the correlation analysis will be inaccurate, since it European Journal of Education Studies - Volume 3 │ Issue 12 │ 2017 2 John Manginas, Constantinos Nikolantonakis, Aikaterini Papageorgioy COGNITIVE SKILLS AND MATHEMATICAL PERFORMANCE, MEMORY (SHORT-TERM, LONG-TERM, WORKING), MENTAL PERFORMANCE AND THEIR RELATIONSHIP WITH THE MATHEMATICAL PERFORMANCE OF PRE-SCHOOL STUDENTS cannot adequately manage all the relevant factors underlying the learning of children's mathematics during their development phase. Thus, there is a risk that studies will overestimate the results of mathematical performance during kindergarten in relation to their later mathematical performance. This can happen due to two reasons. First, it is not possible to know all the factors that can affect mathematical performance during the development phase, but only some of them, such as work memory or cognitive potential. For example, in their research, Deary, Strand, Smith and Fernandes (2007) found that children's intelligence measured at age of 11 represented 59% of the variance in their mathematical achievement at the age of 16. Obviously, the remaining percentage is the result of other factors. Mathematical performance is influenced by both prior knowledge and other factors responsible for a significant share in early and late mathematical performance. For example, in a study that includes data from 1,124 children, the relationship between the initial mathematical performance and the performance in third grade was 0.72, while at the age of 15 was 0.66. Since these correlations mainly reflect the stability of the factors that form the basis of mathematical performance during the development phase, the role of early intervention that affects mathematical performance at this age becomes increasingly important. The procedures for understanding mathematical concepts have been studied but there are areas that need to be further investigated (Nye, Clibbens, & Bird, 1995). This study focuses on verifying the level of mathematical performance in kindergarten immediately before students begin their primary school education (in Greece, children are enrolled in elementary school at the age of 6). The purpose of the research is to identify those factors associated with mathematical performance in kindergarten as well as those who may be able to predict the subsequent mathematical performance. 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