Teaching the facts discovered by previous scientists is vital for the student to understand what we now know, and how we got there, in order to develop new knowledge, but technically that falls under the description of History, not Science. As we move towards the 21st century, it is becoming obvious to everyone that our technically advanced society could become one of myth and superstition. More and more, jobs are based on the ability to utilize mechanical devices, and design them. Societies, like people, either get better, or they get worse. Previous advanced civilizations have failed because the knowledge of their science was not spread widely enough to survive adversity.
Science is the systematic gathering, organizing, and dissemination of new knowledge.
Fundamental means the basis of how things are done. Systemic is defined as the organized grouping of items or ideas to create a whole. Used together in the context of teaching, they mean that the whole method of teaching a subject will be radically and irrevocably changed. Pasturing will not fill the gas tank. The car will not return home if the driver falls asleep.