Markov model of mathematical competences in elementary education

摘要

In this paper, the authors defined mathematical competences for the 7th grade of elementary school. The basic objective was to measure the mathematical competences or mathematical knowledge, skills and abilities in mathematical education. Mathematical competences were grouped in following areas: Algebra and functions, Space and shapes and Measurements and Data. Statistical set for the research consisted of 48 children from the Elementary school Dr. Ivan Merz in Zagreb, Croatia. Authors measured 15 variables together with the evaluated results of described tasks. Using statistical set of variables which measured mathematical competences the authors created representation of distribution by the Markov network (undirected graph with information about conditional independences between mathematical competences). Statistical analysis were conducted using software Tetrad and Statistica. In the results authors describe Markov model between the mathematical competences for 7th grade elementary school children. This paper is result of our previous research on causal modelling of mathematical competences in kindergarten and in elementary school.