The basic topic of this article is the undergraduate preparation of future teachers in the Czech Republic, specifically the issue of the pedagogical practices of future teachers. We focused mainly on reflective activities within this preparation. The first part of the article deals with the mapping of this area in the educational systems of other countries or other regions of the Czech Republic. The second part is devoted to a description of the current state of reflection among science teacher education students. It also proposes an innovation of the system of reflection implementation using modern IT tools in the context of full-time and distance education. The third part presents the outputs of the e-questionnaire prepared for both face-to-face and distance learning.
ABSTRACT. In this paper, the properties of transformation matrices between the normal bases in orders of algebraic number fields of degree 3 are shown. Let K be a finite extension of the rational number field Q and let the Z K be integral closure of the ring Z in K -i.e. the ring of integral numbers of the field K.Ò Ø ÓÒ 1º Let K be an algebraic number field of degree n over the rational numbers Q. A Z-module B ⊂ K is called an order of the field K if B satisfies the following conditions:(2) B has a basis over Z consisting of n elements, (3) B is ring.Let K be a cyclic algebraic number field of degree n over Q. Such a field has a normal basis over Q, i.e. a basis which consists of all conjugations of one element.Transformation matrices between two normal bases of K over Q are exactly regular rational circulant matrices of degree n.In
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