I'm looking for problems about quadratic function across the ages. For example, in the Babylonian civilization, there are problems which are related with quadratic equation. Besides that, the concept of function was developed through relation between numbers. On the other hand, in Greek Culture the problems were focusing in geometrical interpretation for solving quadratic equation. Al-Khwarizmi, in Ithe Islamic culture, was the most important scholar because he posed a formula to solve quadratic equation. I've been reading some Al-Khwarizmi's problems and his solution , which could be solved through algebraic ideas.
My principal references are
Swetz, F. J. (2012). Mathematical expeditions: Exploring word problems across the ages. JHU Press.
Kline, M. (1990). Mathematical thought from ancient to modern times (Vol.1, 2 y 3). Oxford University Press.
Boyer, C. B., & Merzbach, U. C. (2011). A history of mathematics. John Wiley & Sons.
Irving, R. (2013). Beyond the quadratic formula. Washington, D.C.: Mathematical Association of America.
Bashmakova, I. G., & Smirnova, G. S. (2000). The beginnings and evolution of algebra (No. 23). Cambridge University Press.
My focus is to study problems posed about quadratic function in some scenes of history of mathematics.
Please, could you help me in this endeavour?
Unfortunately not. Although the range of my interests is very wide, this problem I have not studied. Good luck in your future work.
Maybe this can help a bit (in relation to variable).
Philipp, R. A. (1992). The many uses of algebraic variables. The Mathematics Teacher, 557-561.
and this:
Fried, M. N. (2001). Can mathematics education and history of mathematics coexist?. Science & Education, 10(4), 391-408.
Hello Carlos,
You could be interested in
BEDNARZ, N., KIERAN, C., LEE, L. (1996) Approaches to algebra: Perspectives for Research and Teaching. Dordrecht: Kluwer, 364 p.
This is a collection of individual contributions.
Louis Charbonneau and Luis Radford have some interesting points of view.
Please read my article - you will find it might help :) I hope it interests you and adds to your literature review.
Article An authentic task that models quadratics
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