<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Jiří  Břehovský</style></author><author><style face="normal" font="default" size="100%">Petr  Emanovský</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON USAGE OF INDUCTIVE APPROACH IN MATHEMATICAL TEXTBOOKS AT SECONDARY SCHOOL</style></title><secondary-title><style face="normal" font="default" size="100%">Problems of Education in the 21st Century</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">mathematical education</style></keyword><keyword><style  face="normal" font="default" size="100%">mathematical textbook</style></keyword><keyword><style  face="normal" font="default" size="100%">secondary school</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">July/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://oaji.net/articles/2014/457-1406540074.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">31</style></volume><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Quality of mathematical education is very actual didactic issue at present. One possibility how to increase it is a use of unconvencional experimentally inductive approach. The appropriate textbook then can be a useful helper for teacher who intends to apply this approach. There are given an analysis of the usage of inductive and deductive approach in mathematical textbooks here. The research was focused on the content of mathematics textbooks for secondary school, on their interpretative and exercise text components, respectively. The main interest was to explore the representation of inductive and deductive methods in interpretation of the mathematics textbooks and to measure the content of the exercises whose student's solution requires the use of heuristic approaches. The results of the analysis show that each author prefers a different approach to interpretation which is used in the writing of textbooks. Interpretative means most contained in all the textbooks are a direct interpretation with the motivation (34.4%), a direct interpretation without motivation (31%) and an indirect interpretation with the motivation (24.5%). Inductive and deductive interpretative means are only rarely represented in all the textbooks. The highest rate was registred in the case of task using interpretation with the motivation (7%).</style></abstract><work-type><style face="normal" font="default" size="100%">Original article</style></work-type><section><style face="normal" font="default" size="100%">33-44</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Petr  Emanovský</style></author><author><style face="normal" font="default" size="100%">Jiří  Břehovský</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON EFFECTIVITY OF INDUCTIVE METHODS IN MATHEMATICAL EDUCATION AT SECONDARY SCHOOL</style></title><secondary-title><style face="normal" font="default" size="100%">Problems of Education in the 21st Century </style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">mathematical education</style></keyword><keyword><style  face="normal" font="default" size="100%">pedagogical research</style></keyword><keyword><style  face="normal" font="default" size="100%">secondary school</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">June/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://oaji.net/articles/2014/457-1400515143.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Effectivity and quality of mathematical education at secondary school is always very actual didactic topic. One way how to increase them is using unconvencional experimentally inductive methods. There are described the methods as well as process and results of research conected with this problem there. The aim of the research was to check possibilities of using of modern unconvencional methods for more effective mathematical education at secondary school. The inductive methods are compared with the traditional ones when students get completed knowledge without any derivation or proof. Using Students t-test and F-test were verified two hypotheses. The first hypothesis that the experimentally inductive approach and methods in mathematical education at secondary school are more effective and interesting for students than the traditional methods was validated. The second hypothesis which supposed longer persistence of knowledge obtained by the inductive methods was not validated.</style></abstract><work-type><style face="normal" font="default" size="100%">Original article</style></work-type><section><style face="normal" font="default" size="100%">25-32</style></section></record></records></xml>