Относно усета за броене
About the Sense of Counting

Summary/Abstract: The aim of this article is to analyze the sense of counting, its manifestation and development while building on the views of some authors regarding cognitive activity, anticipation, the interrelationship between logic and intuition, the use of visuals and the system approach. The methods which are used imply appropriate selection of tasks in which the learning information is synthesized around basic concepts with regulatory functions. Two geometric tasks are used to demonstrate the results of the analysis. The first one requires the counting of dots in a construction. Several solutions have been offered which incorporate different approaches to finding the solution i.e. counting. The second task requires the counting of triangles in a geometric drawing. The discovery of the right solution has been described with an emphasis on rationality in counting, realized through the means of pre-search of repetitive structures. Detailed intermediate drawings reflecting the individual stages of arriving at a decision have been prepared for this task. In addition, there are four extra Combinatorics tasks to be solved without the use of ready-made formulas. What is important for these tasks is to master the algorithm that will facilitate counting. Finally, a conclusion has been drawn about the prerequisites for anticipation and the cases in which the sense of counting can be manifested and developed

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