![]() ![]() In the final phase of the experiment, pupils were stimulated to extend the knowledge they had acquired during previous phases. The analysis demonstrated pupil performance in binary encoding using systems consisting of one to eight binary digits. In addition, the data analysis showed that pupils were involved with great pleasure in the playing of card-games and efficiently managed to calculate the binary number represented on each card. Moreover, specific interventions performed by the researcher helped them to clarify some misconceptions. The specific questions and materials provided also helped them to reflect and to make connections between the structure of this numerical system and the binary system. ![]() Data analysis showed that pupils successfully managed to describe the structure of numbers in the decimal system. In fact, nineteen 6th Grade pupils participated in a constructivist learning experiment consisting of three phases: i) reviewing and reflecting on their knowledge about the decimal system, ii) experimenting with the binary system by being involved in playing a specially-designed card game and iii) extending their knowledge by attempting to transform decimal numbers into their binary representations. This paper focuses on the learning of binary encoding by primary school pupils within a learning experiment mainly based on their being involved in playing a game. ![]()
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