This article describes a new form of instruction called elegant instruction. Generally speaking, educational technologists assert that instruction ought to be effective and efficient. Some educational technologists might add that instruction should also satisfy learners. Incorporating the standard requirements and going beyond satisfaction, elegant instruction is effective, efficient, and inspiring. Elegant instruction arouses an appreciation for exceptional insight, creativity, economy, or beauty, which, combined with perceived applicability, inspires learners and compels them to greater achievement, to apply what they have learned, and to learn more. To ensure efficiency, elegant instruction is 60 minutes at most. Preliminary research into elegant instruction is encouraging; further research continues. After introducing elegant instruction and discussing its theoretical foundations, this article discusses two examples of elegant instruction for inspiring learners to use intriguing computer techniques. A third example seeks to convey the elegance--succinctness, applicability, and wonder--of mathematics. (Contains 1 table and 6 figures.)