数学教科书中的“为数字命名”，作者是Stefan Banach

IF 0.5 3区哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE

Historia Mathematica Pub Date : 2022-05-01 DOI:10.1016/j.hm.2021.01.001

Karolina Karpińska

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引用次数: 0

摘要

这篇论文致力于分析波兰学校教科书中“面额数字”的作用，该教科书的作者或合著者是斯蒂芬·巴纳赫。巴拿赫在他的教科书中使用了“数”和“分母数”的概念。本文分析了这些概念的引入方式，以及与之相关的理解方式。还讨论了通过各种程序操纵“命名数”的方法。分析是在波兰有关数学教学和其他教科书内容的部级法令的背景下进行的，特别是Banach作为中学生使用的教科书。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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“Denominate numbers” in mathematics school textbooks by Stefan Banach

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.

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来源期刊

Historia Mathematica 数学-科学史与科学哲学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

72 days

期刊介绍： Historia Mathematica publishes historical scholarship on mathematics and its development in all cultures and time periods. In particular, the journal encourages informed studies on mathematicians and their work in historical context, on the histories of institutions and organizations supportive of the mathematical endeavor, on historiographical topics in the history of mathematics, and on the interrelations between mathematical ideas, science, and the broader culture.