The United States is dependent on innovations in science, technology, engineering, and math (STEM) fields for the growth of its economy and improvements to quality of life, but too few students are prepared for them. To help meet the challenges in filling the STEM pipeline, teachers of gifted elementary students can nurture important talents, including mathematics achievement, creativity, and spatial ability, through problem-based architectural projects. The importance of developing each of these talents for STEM success is described and related to architecture. Four projects are offered in architecture and various architectural sub-disciplines that are sufficiently challenging for gifted elementary students, including example Common Core State Standards in mathematics that can be incorporated. The usefulness of problem-based learning is described, and problem statements are offered that can be easily revised and extended to meet unique classroom needs. A framework is provided for teachers to create their own architectural projects.