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Development of numeric and structural skills in primary school pupils when playing Abaku play
Richter, Lukáš ; Vondrová, Naďa (advisor) ; Jančařík, Antonín (referee)
This thesis deals with the Czech game called Abaku, which was created as a variation of Scrabble using numerals instead of letters. The aim of this thesis is to find out what numerical and structural skills the pupils of elementary school, who are participating in the final of Abaku League, have, and what is their relation to mathematics. The used methods are the analysis of the games played on the qualifying rounds of Abaku League, a questionnaire for the finalists of the league and an interview with several of them. Author has 165,640 records of played games for analysis, 1,157 of that were analyzed. The questionnaire was completed by 38 players and seven of them participated in the interview. The questionnaire consists of questions about the popularity of mathematics, the frequency and duration of playing Abaku, and ten tasks to identify the numerical and structural skills of the players. Above all, the research showed that the surveyed Abaku players are well-versed in the area, know how to work with powers, and show curiosity for other mathematical disciplines. The theoretical part of thesis consists of a research of available literature concerning Abaku, introduction of the game including rules and development stages of the player, comparison of Abaku with games of similar type and...
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Évariste Galois and his theory
Richter, Lukáš ; Kvasz, Ladislav (advisor) ; Jančařík, Antonín (referee)
TITLE: Évariste Galois and His Theory AUTHOR: Lukáš Richter DEPARTMENT: The Department of Mathematics and Teaching of Mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The first part of my thesis deals with the life of the significant French mathematician of the 19th century, Évariste Galois, the founder of modern algebra. It is focused on his school years, meetings with mathematics, unsuccessful entrance exams to university, expulsion from school, his mathematic works and his bad experiences with French Academy of Science. He had difficulties with law during his life twice, he was judged and imprisoned. At the end of his short life he fell in love unhappily and consequently was killed in a duel. The second part is devoted to the solution of polynomial equations of the first degree up to the fourth degree by the algebraic patters already known at the times of Galois. Each of the formula is derived by the method suitable even for the students of secondary schools and its usage is illustrated on the example. The third part contains the basics of the Galois Theory and the insolubility of polynomial equations of at least fifth degree is demonstrated. Some of the statements are introduced on examples. KEYWORDS: Évariste Galois, polynomial equations, field extensions, automorphism groups, Galois Theory
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Analysis of the labour market in Ústí nad Orlicí
Richter, Lukáš ; Adámek, Petr (advisor) ; Dobrylovský, Jiří (referee)
This bachelor thesis describes the development of the labour This thesis describes the development of the labor market in Ústí nad Orlicí in 2005-2012. The work focuses on active employment policy 2008-2010. In the theoretical part the basic terms related to the labor market. The analytical part focuses on the characteristics of the Ústí nad Orlicí, analysis of the labor market, the structure of unemployment and evaluation of active employment policy. We used the data obtained from the Czech Statistical Office, Integrated portal of the Ministry of Labour and Social Affairs and the reports of the Labour Office in Ústí nad Orlicí and Employment Office in Pardubice.
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