Synectics is a creative problem-solving technique developed in the 1950s that uses metaphor and analogy drawing to spark new ideas. It involves three main steps: 1) defining the problem, 2) imaginative exploration of alternatives through techniques like attribute shifting, and 3) reconstructing a new solution. An example applies attributes of a water bottle like transparency and clear directions to address how to help recycling become a daily habit through transparent bins that clearly explain the recycling process.