Spicing Up Your Math Classes With History. V. Frederick Rickey West Point.
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
Spicing Up Your Math Classes With History
V. Frederick Rickey
Someone once described her as the daughter of the mathematician Max Noether.
To this Edmund Landau replied ``Max Noether was the father of Emmy Noether. Emmy is the origin of coordinates in the Noether family.''
This Norwegian logician was the first to introduce non-standard models of the natural numbers.
Gottfried Wilhelm von Leibniz(1646 – 1716)and the product rule
* The Early Mathematical Manuscripts of Leibniz, ed. by J. M. Child (1920/2005), p. 107
Bonaparte rightly said that many of the decisions faced by the commander-in-chief resemble mathematical problems worthy of the gifts of a Newton or an Euler.
I must study politics and war that my sons may have liberty to study mathematics and philosophy. My sons ought to study mathematics and philosophy, geography, natural history, naval architecture, navigation, commerce, and agriculture, in order to give their children a right to study painting, poetry, music, architecture, statuary, tapestry, and porcelain.
Bernard Bolzano and the Intermediate Value Theorem
Purely analytic proof of the theorem that between any two values which give results of opposite sign there lies at least one real root of the equation
Is there a direction I can point such that the temperature at the boundary of the State is the same in that direction and in the opposite direction?
F(Θ) = T (Θ) – T(Θ + π)
F(Θ) = T (Θ) – T(Θ + π)
Does it matter whether you are in Albany or West Point or Selden?
Often I have considered the fact that most of the difficulties which block the progress of students trying to learn analysis stem from this: that although they understand little of ordinary algebra, still they attempt this more subtle art. From the preface of the Introductio
A change of Ontology:
He showed a new algorithm which he found for circular quantities, for which its introduction provided for an entire revolution in the science of calculations, and after having found the utility in the calculus of sine, for which he is truly the author . . .
Eulogy by Nicolas Fuss, 1783
as quoted by Libri, 1846
How might one use history in the classroom? A variety of examples will be provided: If the topic of the day is the product rule, then we ought to let students know what Leibniz can teach them on this topic. If the Intermediate Value Theorem is the topic, don't fail to mention Bolzano. A good way to start a class is to talk about what happened on this date. How about using quotations to make a point about mathematics. Which famous mathematicians were born on this date? The latest Smithsonian magazine has an article about the Archie, so lets mention that famous palimpsest. Finally since this year is the 300th anniversary of Euler's birth, let's talk about his work on trigonometry.