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The subjects of research are concrete possibilities of use philosophical-historical-developed and methodological-innovative elements in the mathematics teaching in elementary and secondary school in breaking of formalism and activating e.g. dynamism of teaching. The aim is that the pupils think over with originality and creation thinking. It develops usage of indepedent thinking, critical estimation and reasonable generalization.doi:10.5901/mjss.2014.v5n19p619 fatcat:yn7cjr7m35fmrnvv6rz5q3slbq