Using a digit grid when studying theme "Number systems"

The information richness of the informatics course basic school makes you pay attention to possibility for introducing theme "Number systems" students at propaedeutic stage. use in fifth or sixth grades concept a detailed form recording number justify studied algorithms, is impossible obvious reasons. At this stage training, can arrange student actions using digit grid, which allows include positionality orientation basis with numbers different systems from very beginning. transition work bit grid traditional design algorithms reasonable be carried out three stages. first stage, are offered operate various replacing q units current one unit next and vice versa. second correspondence between performed division (multiplication) operations established, still used mediate mental actions. third visual scheme refused, move on systems. For each stages, article provides tasks questions organizing frontal solution.