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Didaktika matematiky a její proměny

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EN
The article contains a brief survey of the history of mathematics education as a science abroad and points out how it has influenced the Czech mathematics education research. An emphasis is placed on research carried out within a PhD study at the Faculty of Education, Charles University in Prague. On the example of a concrete PhD Board some prerequisites of a successful existence of mathematics education as an independent discipline are summarised: active researchers in mathematics education, integration into the trends of foreign research, rigorous usage of existing research results, contact with boarder fields (mainly mathematics, pedagogy, psychology) and practice (teachers), creating a scientific community.
EN
The results of recent educational research support the notion that the key to increasing students´ knowledge is the competence of their teachers. On the basis of our long term experience from cooperation with a group of primary school teachers we discuss the concept of pedagogical competences needed in (mathematics) education, the possibilities of their cultivation and development and qualified joint reflection as a competence and as a way to competence cultivation. As the cooperation in our team influenced the participating teachers in different ways, we will illustrate their development by a selection of episodes from their teaching.
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