Article ID: CBB373520195

“Denominate numbers” in mathematics school textbooks by Stefan Banach (2022)

unapi

The paper is dedicated to analyzing the role of “denominate numbers” in textbooks for Polish schools, whose author or co-author was Stefan Banach. Banach used the concepts of “number” and “denominate number” in his textbooks. The ways of introducing these concepts, as well as the associated manner of understanding numeration, are analyzed in the paper. The methods of manipulating “denominate numbers” through various procedures are also discussed. The analysis is carried out in the context of the Polish ministerial ordinances related to teaching mathematics and the content of other textbooks, especially those used by Banach as a secondary school student. Streszczenie Artykuł jest poświęcony omówieniu roli “liczb mianowanych” w podręcznikach dla polskich szkół, których autorem bądź współautorem był Stefan Banach. Banach używał w swoich podręcznikach pojęć “liczba” i “liczba mianowana”. W artykule przeanalizowano metody wprowadzania tych pojęć, a także wyjaśniono, w jaki sposób rozumiany był przez autora termin: liczyć. Szczególnej analizie poddano działania arytmetyczne na “liczbach mianowanych”. Analiza prowadzona jest w kontekście polskich rozporządzeń ministerialnych dotyczących nauczania matematyki oraz treści zawartych w innych podręcznikach, zwłaszcza tych, których Banach używał jako uczeń szkoły średniej.

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Authors & Contributors
Paola Magrone
Ciesielska, Danuta
Stilinović, Vladimir
Schulman, Steven M.
Schubring, Gert
Schiller, J.
Concepts
Mathematics
Teaching; pedagogy
Textbooks
Science and politics
Science education and teaching
Mathematics education
Time Periods
20th century, early
19th century
20th century
Early modern
Modern
Medieval
Places
Poland
United States
Soviet Union
United Kingdom
Göttingen (Germany)
Eastern Europe
Institutions
Uniwersytet Warszawski
Göttingen. Universität
Cracow. Uniwersytet Jagielloński
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