Discovery in mathematics: A text for teachers

Discovery in mathematics: A text for teachers
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数学发现:给教师的教科书

DOI:
10.2307/3614490
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发表时间:
1968
期刊:
The Mathematical Gazette
影响因子:
--
通讯作者:
W. O. Storer
W. O. Storer
中科院分区:
--
文献类型:
--
作者:
W. O. Storer

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这本书是专为使用教师和其他人谁希望获得一个深入了解“的关键思想的现代数学现在正在介绍给小学和中学的学生。然而,这些关键思想在这里仅限于从集合开始的基数、有理数、小数和整数的算术运算原理。大部分的工作是明确制定和提出,但它变得不太完整的接近年底,在其治疗乘法的小数和整数。它是有吸引力的印刷在两种颜色,并包含一个有用的词汇表,然而,除了包含几个(公认的小学)数学术语的范围以外的书,说明了不可能总是给足够的短定义。例如,“加法”和“乘法”项下的条目是相同的,只是在进一步的评论中,第一项中的“加法”和“和”被第二项中的“因数”和“乘积”所取代。
This book is designed for the use of teachers and others who wish to gain an insight into "key ideas of the modern mathematics now being presented to pupils in elementary and secondary schools." These key ideas are, however, here limited to the principles for the arithmetical operations on cardinal numbers, then rationals, decimals and finally the integers, starting from sets. Most of the work is clearly developed and presented, but it becomes less complete towards the end, in its treatment of multiplication of decimals and of the integers. I t is attractively printed in two colours, and contains a useful glossary, which, however, besides containing several (admittedly elementary) mathematical terms outside the scope of the book, illustrates the impossibility of always giving adequate short definitions. The entries under "addition" and "multiplication," for example, are identical, except tha t in further comment the words "addends" and "sum" in the first are replaced by "factors" and "product" in the second.