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Article ID: CBB373520195

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

Karpińska, Karolina (Author)

Historia Mathematica
Volume: 59
Pages: 164-196

DOI: 10.1016/j.hm.2021.01.001

URI: https://www.sciencedirect.com/science/article/pii/S031508602100001X

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Mathematics Teaching; pedagogy Science and politics Numeration Numbers Textbooks 20th century, early Poland Banach, Stefan

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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