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TOWARD METASYSTEMS MATHEMATICAL LEARNING THEORY RaileanE1.,Cataranciuc S.
1 2

Information Society Development Institute, Academiei 5A, Chisinau, Republic of Moldova, (+373 22)069499692, email: elena.railean@idsi.md 2 University State of Moldova, Mateevici, 30, Chisinau, Republic of Moldova, (+373 22)577459, email: s.cataranciuc@gmail.com

There are three main trends in the evolution of mathematical learning theory aimed to develop linear, systems and metasystems thinking, respectively [1]. The theories describe early research in behaviorism proved by statistical theory and probability, cellular automata, neural networks etc. (R. Hall, R. Bush, H. Ebbinghaus, F. Norman, F. Mosteller, K. Spence, W. Estes, S. Hellyer, K. Lashley, I. Krechevsky, F. Restle, M. Levin, R. Atkinson etc.). The theories on systems mathematical learning reject the linear cause-effect relations, rely on cognitivism and, instead of it, explain the behavior of the learning objects through producer-product relations (R. Luce, J. Fodor, V. Arnold, J. Palis, N. Crowder, D. Kolb, A. Newell, A. Guergachi, G. Patry etc.). The term "metasystems" was defined by G. Klir, A. Hall, Morraet all. Metasystems mathematical learning theory relies on constructivism [2]. From the practical point of view, this approach can be validated by the theory of optimized directed graph (or knowledge graph), the theory of probabilities and statistics. The case study refers to implementation of "Electronic textbook in electronic portfolio technology" [3] in teaching/learning the course "Information and Communication Technology" and statistical analysis of educational data mining. Statistical analysis of 2 independent variables and allows determining the coefficient of correlation between oral self-assessment and computerized assessment: Cov ( , ) M ( , ) - MM ( , ) = = DD DD The high values 1 ( , ) = 0.72; 1 ( , ) = 0.79 and 1 ( , ) = 0.81 prove the evidence of needs in digital EQF competence. The statistical analysis of educational data mining allows to remark that for =5, 6, 7, 8, 9, 10, if min =5, 6, 7 and max=10, the mean equals to M = 8.0; 8.1; 8.2; 8.3; 8.4; 8.5; 8.6; 8.7. These results were repeated twice with a coefficient of correlation, established in the interval: 0.32 1 ( , ) 0.47 at P < 0.05. References
1. Rudic G. , . http://www.pedagogiemoderne.com/blog 2. Railean E. Metasystems approach to research the globalisated pedagogical processes// Annals of SpiruHaret University. Mathematics ­ Informatics Series, 2010. p. 31 ­ 50. 3. Railean E. Electronic textbooks in electronic portfolio: a new approach for the self-regulated learning//Proceedings of 9th International Conference on Development and Application Systems. Suceava: DAS 2008. 2008, p. 138 ­ 141.