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In the article progress of humanities trends are considered in the conditions of development of globalization processes. The core principles of the organization of modern education must be the following: humanitarization, diferentiation, integration and disclosure. The modern pedagogics is oriented to create such a preparation system that would use newest achievements in the field of informational technologies and would allow reflect the specifics of professional activity and form the ability to adapt in professional environment.
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In the talk, we will present persistent efforts to provide modern mathematical education to children aged 7–10 years in the period of the partitions and the two-decade interwar period. Partic-ular attention will be paid to the works of now-forgotten Jeske (1836–1875), Jeleńska (1885–1961), Rusiecki (1892–1956). We will also underline the commitment of university professors of mathematics to mathematical education of younger children, including Banach (1892–1945). We will refer to the modern conception of teaching mathematics to younger children, among others, to the concept of children;s mathematics developed by Gruszczyk-Kolczyńska. We will observe the metamorphosis of the role of the decimal system of counting in the mathematical education of children in Poland in the period under discussion. An expanded paper was presented by the author at the 36 International conference of History of mathematics in 2015 in Poděbrady (see Domoradzki, 2015, p. 25–44).
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