%0 Journal Article
%T EDUCATING AS THE LINEAR CONTROL PROCESS I. MATHEMATICAL MODEL OF PUPILS (STUDENTS) AND TEACHERS / Vzd¨§l¨¢v¨¢n¨ª jako line¨¢rn¨ª proces II
%A Losenicky Miroslav
%J Technol¨®gia vzdel¨¢vania
%D 2010
%I 
%X The article investigates one of the possible mathematical description of an educational process. This process is grasped like a determinated controlled linear action. Its static as well as dynamic parameters and therefore time course of the process are fundametally formed by the interaction between the controlled object -pupil and controller - tracher. The author analyses basic cases in which participants of the controlled process are considered to be static and astatic factors. Mathematical relations are derived from the particular grouping of chosen types of a learner and teacher. These mathematical relations express the course of educative process on the general level. The author applies results from the mathematical relations to his pedagogical experience while mathematical modelling is demonstrated in the form of charts and the practical experience is formulated verbally. work has proved that the agreement between results of mathematical modelling and practical knowledge is surprisingly identical, it has surprassed all authors expectations. At the end it is necessary to emphasize that the modelling was made on the qualitative level only. l¨¢nek se zabyv¨¢ jedn¨ªm z mo nych matematickym popis  vzd¨§l¨¢vac¨ªho procesu, ktery je ch¨¢p¨¢n jako deterministicky line¨¢rn¨ª  ¨ªzeny d¨§j. Jeho statick¨¦ i dynamick¨¦ parametry a tedy i  asovy pr b¨§h jsou podstatnou m¨§rou formov¨¢ny interakc¨ª mezi objektem  ¨ªzenym -  ¨¢kem (studentem) a  lenem  ¨ªdic¨ªm - u itelem. V p ¨ªsp¨§vku jsou uvedeny z¨¢kladn¨ª p ¨ªpady, v nich  uva ujeme,  e ¨² astn¨ªky  ¨ªzen¨¦ho procesu jsou  leny statick¨¦ a astatick¨¦. Pro konkr¨¦tn¨ª seskupen¨ª zvolenych typ   ¨¢ka a u itele jsou odvozeny matematick¨¦ vztahy, kter¨¦ v obecn¨¦ rovin¨§ vyjad uj¨ª pr b¨§h vzd¨§l¨¢vac¨ªho procesu. Autor d¨¢v¨¢ vysledky, kter¨¦ vyplyvaj¨ª ze z¨ªskanych matematickych vztah , do souvislost¨ª se zku enostmi z pedagogick¨¦ praxe. Soulad mezi vysledky matematick¨¦ho modelov¨¢n¨ª a praktickymi, vesm¨§s verb¨¢ln¨§ formulovanymi poznatky je zaj¨ªmavy a p ed il autorovo o ek¨¢v¨¢n¨ª. Je v ak t eba zd raznit,  e uveden¨¦ modelov¨¢n¨ª prob¨ªhalo pouze v kvalitativn¨ª rovin¨§.
%K Linear controlled process
%K Statical object
%K Astatical object
%K Unit function response
%K Controller
%K Transfer function
%K Control deviation
%K Statical and astatical teacher's type
%K Statical and astatical pupil's type
%K Education process
%U http://technologiavzdelavania.ukf.sk/index.php/tv/article/view/1130