Encompassing current mathematical software and technology in teaching and research

This paper is divided into two parts. One is to discuss the technology in teaching and the other is the technology in research in the area of numerical integration. First, I shall use examples to demonstrate how Maple and Scientific WorkPlace (SWP) can be best used in classroom teaching interactively. I shall use one example to demonstrate how SWP can be used in understanding the Riemann Sum and use Maple to generate the animations. The Maple source codes will be also provided. I shall give references on lots of teaching modules, which can be found in my homepage. Second, I will also discuss problems in numerical integrations motivated by Maple and Mathematica. What type of problems both Maple and Mathematica have trouble in finding numerical answers. I will give some successful adaptive quadratures in one and two dimensions, which I generated by using Maple as a conjecture tool. The impact of mathematical software and technology on my teaching and research 1. I use SWP as a wordprocessor and a computational tool. I save the documents in LaTeX files and post them as *.tex, *.msg, or *.dvi files in the WWW so interested people can view or download them