Using History to Teach Mathematics: An International Perspective (Anneli Lax New Mathematical Library, Series Number 51) 1st Edition by Victor J. Katz (PDF)

Description

There is a long tradition of relating the history of mathematics to its teaching, and increasingly this has extended throughout mathematical education. This volume brings together articles from well known figures in this area, and provides many insights, both in particular cases and in generality, into how the history of mathematics can find application in the teaching of mathematics itself. Educators at all levels, and mathematicians interested in the history of their subject, will find much of interest in this book.

User’s Reviews

Editorial Reviews: Review ‘The result is a beautifully presented book whose contributors are international specialists in the history of mathematics and its use in teaching. The book is completed by numerous illustrations as well at the end by Notes on COntributors. To sum up, we may recommend it as an inspiring work especially for those teaching mathematics at any level, for studnets, and in general, for anybody who is interested in mathematics and its historical aspects.’ Acta. Sci. Math. Book Description This volume examines how the history of mathematics can find application in the teaching of mathematics itself.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Good

⭐Most articles have nothing to say beyond “history is good”. Very few contain any substantial mathematics, and what little there is is mostly standard. The only really interesting article is Giacardi’s on Beltrami’s work on hyperbolic geometry. We learn that Beltrami built pseudospherical surfaces and see pictures of a preserved model of his but unfortunately no details are given besides a very opaque quotation: “if … you consider the surface lying between two meridians, close enough together for it to be replaced , over a certain length, by a plane, you can with little bits of paper cut into appropriate shapes reproduce the curved trapetzia whose surface can be supposed to be compounded”. It appears that there are more details in the Beltrami-Houel correspondence (now published). Beltrami had also had the idea of the projective view of hyperbolic geometry in 1869, but of course Klein published first: “I deeply regret having allowed Klein to anticipate me on this point which I had already gathered material, but to which I made the mistake of not giving enough importance”. Finally, I was pleased to hear Beltrami complain about “the usual phenomena of elementary papers written by people who really need to study the classic papers, and whom I have often wanted to remind of our Giusti’s extraordinary epigram: Il fare un libro è meno che niente, se il libro fatto non rifà la gente”.

⭐Excellent

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