A Social View of Mathematics: Iimplications for 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

A View of Mathematics

1. The Unity of Mathematics 2. The concept of Space 2.1. Projective Geometry 2.2. The Angel of Geometry and the Devil of Algebra 2.3. Non-Euclidean Geometry 2.4. Symmetries 2.5. Line element and Riemannian geometry 2.6. Noncommutative Geometry 2.7. Grothendieck’s Motives 2.8. Topos theory 3. Fundamental Tools 3.1. Positivity 3.2. Cohomology 3.3. Calculus 3.4. Trace and Index Formulas 3.5. Abeli...

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...

The trace of realistic mathematics education in the school mathematics in Iran

Abstract: In the late 70's, in reaction to both "New Math" movement in the United States and "mechanistic mathematics education" approach to mathematics education in Netherland, Realistic Mathematics Education (RME) has been introduced by Freudenthal and his colleagues. In this educational approach, Freudenthal considered mathematics as a human activity. Based on this approach, education should...