What comes to mind when one thinks about building? One may envision constructions with blocks or engineering activities. Yet, constructing and building a number system requires the same sort of imagination, creativity, and perseverance as building a block city or engaging in engineering design. We know that children invent their own notation for…

This case-study explores the impact of a 12 week in-class intervention designed to encourage creativity, inquiry and exploration as a normal and expected part of mathematics lessons, with a particular focus on supporting the learning of highly capable and gifted students. Fred is a mathematically highly capable grade five student whose personal…