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Porozumění myšlence rovnic ve 4. a 5. ročníku ZŠ
Bednařík, Jaromír ; Slezáková, Jana (vedoucí práce) ; Kvaszová, Milena (oponent)
Diplomová práce se zabývá tím, jak žáci 4. a 5. ročníku rovnice chápou a řeší. Zkoumá chyby v jejich řešení a navrhuje možnosti reedukace. V teoretické části vysvětluje hlavní pojmy jako rovnost a rovnice. Vyhledává ukotvení problematiky rovnic v RVP a vyhledává úlohy vhodné pro propedeutiku rovnic v učebnicích ze tří nakladatelství pro 1. stupeň základní školy. Experimentální část obsahuje metodologii tvorby před-experimentu a shrnuje důvodu pro vytvoření finálního experimentu. Popisuje žákovská řešení vybraných úloh, vyhledává chyby a snaží se stanovit vhodnou formu reedukace. Klíčová slova: rovnost, rovnice, reedukace, propedeutika, experiment, učebnicové řady
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Discretely normed orders of quaternionic algebras
Horníček, Jan ; Skula, Ladislav (oponent) ; Kureš, Miroslav (vedoucí práce)
This thesis summarizes author's research on the field of theory of the quaternion algebras, their isomorphisms and maximal orders. The new point of view to this issue is received by using the concept of the discrete norm. The three following statements could be taken as the main results of the thesis: - Proof of the uniqueness of the discrete norm for integers, for the orders of the quadratic field extension and also for the orders of quaternion algebra - Theorem, which enables us to construct isomorphisms between quaternion algebras in explicit matrix form - Proof of the existence of infinitely many mutually distinct orders of the quaternion algebra Results given in this thesis will be also used in a scientific article.
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Discretely normed orders of quaternionic algebras
Horníček, Jan ; Skula, Ladislav (oponent) ; Kureš, Miroslav (vedoucí práce)
This thesis summarizes author's research on the field of theory of the quaternion algebras, their isomorphisms and maximal orders. The new point of view to this issue is received by using the concept of the discrete norm. The three following statements could be taken as the main results of the thesis: - Proof of the uniqueness of the discrete norm for integers, for the orders of the quadratic field extension and also for the orders of quaternion algebra - Theorem, which enables us to construct isomorphisms between quaternion algebras in explicit matrix form - Proof of the existence of infinitely many mutually distinct orders of the quaternion algebra Results given in this thesis will be also used in a scientific article.
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