Abstract.  ArchKIDecture is an independent architecture education project that encourages children to explore and participate in the built environment. The ArchKIDecture Build IT! exhibit teaches children the vocabulary of building so that they can build and interact with their built environment in a personal way that reflects and empowers them as individuals. It is also an accessible and practical context for exploring mathematical concepts such as tessellations, ornament design, symmetry, scale, proportion and composition in a tangible and stimulating way.