%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  ¨ªzeny proces I
%A Losenicky Miroslav
%J Technol¨®gia vzdel¨¢vania
%D 2010
%I 
%X Knowledges of attributes and parameters of components involved in a dynamical process, their mathematical formulation, is a necessary precondition for a mathematical description of dynamic actions. If the education process is considered to be a controlled linear action ongoing in time, then this process can be analysed wiht the help of the mathematical model in which teachers and pupils are appointed as its components. This paper deals with the description of the author's mathematical typification of a few basic teachers' and learners' types that act in an educational process most frequently. Star-ting sources are based on author's practical knowledges and hypothesis that this pedagogical experience can be proved with the help of mathematical modelling. Creating and applying mathematical models on the interaction between teachers and learners represent the result of a speculative-experimental identification. The structure of derived mathematical relations enable the qualitative description of some facts and interrelations which occure in teaching but teachers discuss them only verbally. To sum up, simple educative relations described in this article have mathematically expressed experience which the teacher has achieved in the course of his pedagogical practice.Nezbytnym p edpokladem pro matematicky popis dynamickych d¨§j  je znalost vlastnost¨ª a parametr   len , kter¨¦ se tohoto procesu ¨² astn¨ª a jejich matematick¨¦ vyj¨¢d en¨ª. Ch¨¢peme-li vzd¨§l¨¢v¨¢n¨ª jako v  ase prob¨ªhaj¨ªc¨ª  ¨ªzeny line¨¢rn¨ª d¨§j, je tedy t eba zn¨¢t tzv. matematicky model jak  ¨¢ka tak i u itele. V p ¨ªsp¨§vku je uveden popis postupu, kterym autor dosp¨§l k n¨§kolika z¨¢kladn¨ªm typ m obou ¨² astn¨ªk  zm¨ªn¨§n¨¦ho procesu. Vychoz¨ªmi podklady jsou jeho praktick¨¦ zku enosti. Vytvo en¨¦ matematick¨¦ modely tedy p edstavuj¨ª vysledek spekulativn¨§ - experiment¨¢ln¨ª identifikace. Struktura odvozenych vztah  umo ¨¾uje kvalitativn¨ª popis n¨§kterych fakt  a souvislost¨ª, kter¨¦ se v procesu vyuky vyskytuj¨ª a vesm¨§s se mezi pedagogy sd¨§luj¨ª pouze verb¨¢ln¨§. Lze tedy shrnout,  e uveden¨¦ jednoduch¨¦ vztahy, kter¨¦ jsou v p ¨ªsp¨§vku uvedeny, p edstavuj¨ª matematicky popis zku enost¨ª, k nim  u itel v pr b¨§hu sv¨¦ pedagogick¨¦ praxe dosp¨§je.
%K Controller
%K Controlled object
%K Transfer function
%K Identification
%K Controlled process
%K Mathematical modell
%K Transient function
%K Education process
%K Teacher's type
%K Pupil's type
%K Unit function response
%U http://technologiavzdelavania.ukf.sk/index.php/tv/article/view/404