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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Geometric Proofs
 Hanusová, Tereza ; Štěpánová, Martina (advisor) ; Halas, Zdeněk (referee)
Title: Geometric Proofs Author: Tereza Hanusová Department: Department of Mathematics Education Supervisor: RNDr. Martina Štěpánová, Ph.D., Department of Mathematics Edu- cation Abstract: This Bachelor's thesis treats such proofs of mathematical theorems in which pictures and secondary school geometry play a significant role. Its aim is to promote an unusual approach to theorem proving which enables to literally see the way they function. The proofs described include three categories: figu- rate numbers, polygons and areas of plane figures with curved boundaries. The thesis can be useful to teachers to liven up their secondary school mathematics lessons or to students of maths-oriented programmes to enrich their knowledge by an unusual approach to theorem proving. Keywords: proof, geometry, figurate number, polygon, area of plane figure 1
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Theory of Numbers in Ancient Greece
 Smrčka, Zdeněk ; Bečvář, Jindřich (advisor) ; Halas, Zdeněk (referee)
Title: Theory of Numbers in Ancient Greece Author: Bc. Zdenek Smrcka Department: The Department of Mathematics Education Supervisor: doc. RNDr. Jindřich Bečvář, CSc. Abstract: The goal of this thesis is to write up clearly and comprehensibly numeric theoretical research and its results in Ancient Greece between 6 century before Christ and 4 century after Christ. In this thesis we try show examples use of Greece's Mathematics for improvement teaching in education and better understanding abstract thinking in Mathematics. We want so that students understand thinking and abilities Greece's mathematicians. We compare high school view on searching greatest common divisor and Euclidean algorithm. We present important Greece's knowledges as sieve of Eratosthenes, arithmetic of Diofantos etc.. Something of Greece's knowledges as Euclidean algorithm, sieve of Eratosthenes etc. are use of up to now. Keywords: Mathematics in Ancient Greece, figurate number, theory of numbers, Continual fraction, Euclidean algorithm
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