Editor's note : The most valuable employees of any technology company are the engineers and scientists, which is why everyone in Silicon Valley does whatever they can to ensure the continuous supply to this talent pool. The size of the talent pool is ultimately determined by the number of people who graduate from colleges and universities with science, technology, engineering, or mathematics degrees. The U.S. is graduating fewer and fewer scientists and engineers, causing concern in many quarters. While many people agree this is a problem, not everyone agrees on what should be done about it. Former Intel chairman and CEO Craig Barrett is a strong proponent of priming the pump with more undergraduate science, engineering, and math students. Duke/UC-Berkeley professor (and regular TechCrunch columnist) Vivek Wadhwa thinks that better rewards for people who pursue engineering and science degrees is the right approach. So we asked Barrett and Wadhwa to debate the issue of how best to fix technology education in the U.S. Their exchange is below: