Science has always been a part of human creativity, and always will be. What changes is how science is done, and toward which questions it is directed. Science involves understanding how the objective, material world functions. It involves experimentation and observation, and seeks to identify repeatable cause-and-effect relationships that can be used to predict future events. We use the term "scientific method" to describe a specific version of this process. Following it cookbook-wise as it is often taught in schools is needlessly limiting; abandoning it altogether, on the other hand, will lead to meaningless results. Technology is essentially the application of scientific knowledge. Once humans understand how some aspect of the natural world works, we can exploit that knowledge to make things that are useful. Science feeds technology, until technology gets stuck somewhere, and throws a problem or anomaly back to science for investigation.
Religious/spiritual traditions have often attempted to explain the natural world; that is the basis of much of mythology. While these stories have provided inspiration, useful lessons, and even entertainment, they have not explained the workings of nature accurately. Their utility has thus been on the spiritual and social level rather than on the physical level. Both help us understand and make the most of our human existence, in different and complementary ways.