# INTRODUCTION OF ELEMENTS FROM PROBABILITY THEORY IN THE EDUCATION IN MATHEMATICS FOR PRIMARY SCHOOL

## DOI:

https://doi.org/10.12955/pss.v2.241## Keywords:

problems with elements of probability theory, training in mathematics## Abstract

The article considers the prerequisites for the inclusion of problems with elements of probability theory in mathematics education in grades 1-4. This type of task is generally not present in the compulsory curriculum in mathematics in primary school, but they could be used in classes for compulsory, extended, and additional training, thus creating conditions for implementing developmental learning.

Some theoretical statements about the theory of probabilities are systematized, related to the tasks included in the constructed and approbated methodological system of work. Some of its characteristics are presented. This article offers some of the tasks for grades 1-4.

A longitudinal empirical study was conducted with students of the 1-4th grade in the period 2015 to 2020. The results of the outgoing diagnostics in 4th grade are processed by mathematical and statistical methods and are presented graphically. They show that fourth-graders successfully solve problems with elements of probability theory, and a primary school teacher could use them in the systematic work in mathematics at the initial stage of the basic educational degree.

Solving non-standard mathematical problems is an element of probability theory that helps arouse interest, motivate students, and place them in an active cognitive position by solving problem situations in the pedagogical interaction in mathematics in primary school.

## References

Balabanova, R., E. Dineva, (1995). Matematika [Mathematics]. Burgas, 269.

Bryant, P., T. Nunes, (2012). Children’s understanding of probability: A literature review (full report). The University of Oxford. Nuffield Foundation.

Chapman, R. (1975). The development of children’s understanding of proportions. Child Development, 46 (1).

Davies, C. M. (1965). Development of the probability concept in children. Child Development, 36 (3).

Goldberg, S. (1966). Probability judgements by preschool children: Task conditions and performance. Child Development, 37 (1).

Kennedy, M. L., S. Tipps, A. Johnson, (2008). Investigating Probability. Guiding Children’s Learning of Mathematics, Eleventh Edition, Thomson Wadsworth, USA.

Kozhuharova, G. (2013). Kombinatorika, teoria na veroyatnostite I statistika [Combinatorics, probability theory and statistics], Acad. Ed. of Trakia University, Stara Zagora.

Milkov, D. (1996). Informacionni matematicheski metodi v pedagogikata [Informatics and mathematical methods in pedagogy]. Univ. Ed. of “St. Climent Okhridski” University, Sofia, 139.

Piaget, J., B. Inhelder, (1951/1975). The Origins of the Idea of Chance in Children, New York: Norton.

Polaki, M. V. (2002). Using instruction to identify key features of basotho elementary students’ growth in probabilistic thinking. Mathematical Thinking and Learning, 4 (4).

Savin, A. G. (1985). Encyclopedic dictionary of young mathematicians for middle and senior school age. Moscow, 37.

Temnikova, M., (2018). Zadachi ot kombinatorikata I teoriya na veroyatnostite v obuchenieto po matematika v 1-4. klas [Problems from combinatorics and probability theory in mathematics training in the 1st-4th grade], Stara Zagora, 181-185.

Tonova, T. (2012). Kognitivni modeli v matematicheskoto obuchenie na uchenici ot 3 do 6 klas [Cognitive models in mathematics training for students of the 3rd – 6th grade, dissertation work], Sofia, 26.

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*Proceedings of CBU in Social Sciences*,

*2*, 325-330. https://doi.org/10.12955/pss.v2.241

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