In Chapter 1, we have seen how the algebra of the polynomial rings k [x1,..., xn] and the
geometry of affine algebraic varieties are linked. In this chapter, we will study the method of …

This book contains the stories of five mathematical journeys into new realms, told through
the writings of the explorers themselves. Some were guided by mere curiosity and the thrill …

We analyze our method of teaching with primary historical sources within the context of
theoretical frameworks for the role of history in teaching mathematics developed by Barbin …

In introducing his essays on the study and understanding of nature and e-lution, biologist
Stephen J. Gould writes:[W] e acquire a surprising source of rich and apparently limitless …

Bronislaw Czarnocha, Ed Dubinsky (edd@ cs. gsu. edu), Sergio Loch (sloch@ gvc. edu),
Vrunda Prabhu (vprabhu@ williamwoods. edu), and Draga Vidakovic (draga@ cs. gsu. edu) …

Ancient Chinese mathematics has been the focus of many research studies and scholarly
works from a historical perspective. However, no move has been made to investigate its role …

The influence upon didactics of visualization and of verbal and symbolic expressions of the
main infinitesimal methods and, in particular, the importance of that influence for the correct …

Why would anyone think of teaching and learning mathematics directly from primary
historical sources? We aim to answer this question while sharing our own experiences, and …

University level mathematics is organised differently in different universities. In this paper we
consider mathematics programmes leading to a graduate degree in mathematics. We briefly …

We describe a chapter in a forthcoming book based on original historical sources, emerging
from an upper level capstone undergraduate mathematics course. Each chapter tells an …