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EN
The goal of the empirical study is to describe critical areas of primary mathematics as can be found from the Czech Grade 8 pupils’ results in TIMSS 2007 and to identify possible causes of their difficulty for pupils. In the first part, a research background is briefly given – international comparative research in mathematics and possibilities of the secondary analyses of its data. The second part describes methodology in detail. We analysed data from so called TIMSS almanacs (results of Czech pupils at the level of concrete mathematical items from TIMSS and answers of the teacher questionnaire). To interpret possible causes we also used curricular documents and the analysis of the apparently most used primary mathematics textbooks. We set up a criterion for deciding whether the Czech pupils’ results for the given item is below their standard which we determined by comparing their average success rate with that of the international sample. Thus so called weak and very weak items were identified. They were divided into three areas which can be considered critical areas for Czech pupils: Algebra (with subareas of Functions, Substitution, Equations and inequalities, Expressions), Sequences, Shapes and solids. For each of the areas, weak and very weak items are presented together with their results and an outline of the nature of their difficulty for Czech pupils and possible causes of Czech pupils’ failure to solve them. It transpires that it is necessary to get a deeper insight into the nature of problems by clinical interviews with pupils. This will be a topic of further articles.
EN
The Virgin Mary´s esteem was extended in the Middle Ages throughout the entire Christian world. Its content was transferred not only to the liturgy but also to various forms of art. From Hungary there are several manuscripts preserved from the Middle Ages that contain rare monuments – sequences with Marian themes. The poetic texts of these chants combine references to holy scripture, pictures of nature and ordinary life, the revelation of the veneration of the Virgin Mary as the Mother of God and the Queen of Heaven as well as the desire of people to protect her and the requests for her intercessions to her Son for sinners. All of these elements point to the Marian tradition, which was very developed in the territory of what was then Hungary and its main features, typical for the later Middle Ages, reflecting not only religious feelings and expressions, but also the social and existential conditions of that time.
XX
Kult Maryi Panny został rozszerzony w średniowieczu na cały świat chrześcijański. Wyraźnie zaznaczył się nie tylko w liturgii, ale także w różnych formach sztuki. Do naszych czasów zachowało się kilka średniowiecznych rękopisów węgierskich, zawierających rzadkie zabytki – sekwencje o tematyce maryjnej. Teksty poetyckie tych śpiewów łączą w sobie odniesienia do Pisma Świętego, natury i życia codziennego, Maryi Dziewicy jako Matki Bożej i Królowej Nieba, a także prośby o wstawiennictwo u Jej Syna za grzesznikami. Wszystkie te elementy wskazują na rozwiniętą na terytorium ówczesnych Węgier tradycję maryjną oraz jej główne cechy, typowe dla późnego średniowiecza, odzwierciedlające nie tylko uczucia religijne, ale także społeczne i egzystencjalne uwarunkowania tamtych czasów.
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