论法国小学算术中单位的历史:以比例为例

IF 0.5 3区哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE

Historia Mathematica Pub Date : 2022-05-01 DOI:10.1016/j.hm.2021.04.003

Christine Chambris , Jana Visnovska

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引用次数: 3

摘要

直到19世纪，数量级的测量一直是学术数学中数字和计算的基础。它提供了单位以及具体和抽象的数字，构成了20世纪中期法国学校算术的基础。我们对比例性教学资源变化的分析(19世纪末至21世纪初)记录了学术知识中数量级的消失是如何伴随着与比例性相关的数学思想的概念复杂性分化的丧失。这些变化使得比例的教学和学习变得相当困难，我们后来看到了它们逐渐的，但还不是系统的逆转。

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On the history of units in French elementary school arithmetic: The case of proportionality

The measurement of magnitudes was at the foundation of numbers and calculation in academic mathematics until the 19th century. It provided units and the concrete and abstract numbers that formed the basis of school arithmetic up to the mid-20th century in France. Our analysis of changes in teaching resources for proportionality (late 19th to the early 21st century) documents how the disappearance of magnitudes in academic knowledge was followed by the loss of the differentiation of the conceptual complexity of mathematical ideas related to proportionality. These changes made teaching and learning about proportionality considerably more difficult, and we later witness their gradual, but not yet systematic, reversal.

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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.