2015 International Conference on Mathematics, its Applications, and Mathematics Education

What ain’t mathematics education?!

Abstract: In 1996 at the first Iranian Mathematics Education Conference (IMEC1) that was held in Isfahan. I obliged myself as a mathematics educator, to inform the mathematics community at large by presenting a paper entitled “what is mathematics education?” to pave the way for the establishment of the master program of mathematics education in Iran. Now, after 16 years, we need to reflect on t...

Philosophy of Mathematics, Mathematics Education, and Philosophy of Mathematics Education

Mathematics, Mathematicians, and Mathematics Education

I am one of a growing number of research mathematicians who are substantially engaged with school mathematics education. Such outreach has a long and honorable tradition. In this lecture, I illustrate some of the ways that I think this can be helpful, and even essential. Upon his retirement in 1990 as president of the ICMI, Jean Pierre Kahane spoke perceptively of the intimate connection betwee...

Mechanized Mathematics and Its Applications

This paper describes optimization of the Takagi-Sugeno fuzzy model. To prove the existence of optimal control, we apply compactness of a set of membership functions in L space and continuity of approximate reasoning and show the existence of a pair of membership functions which minimize the quadratic performance function.

SIXTH INTERNATIONAL CONFERENCE on Discrete Mathematics and Applications 31.08.2001 - 02.09.2001, Bansko, Bulgaria QUASIGROUPS AND HASH FUNCTIONS

In this paper we consider two quasigroup transformations QM1 : A → A and QM2 : A → A, where A is the carrier of a quasigroup. Based on these transformations we show that different kinds of hash functions can be designed with suitable security.