The CandyFactory Educational Game for iPad supports more powerful conceptions of fractions. By coordinating actions of partitioning (slicing) and iterating (copying) candy bars, students learn to conceive of fractions as sizes relative to the whole. The idea is that students begin to understand partitioning and iterating as inverse operations: If a student partitions the whole into n parts, she can reproduce the whole by iterating any one of those parts n times, thus establishing unit fractions as 1-to-n size relations with the whole. Likewise, students begin to understand non-unit fractions, m/n, as m iterations of 1/n; i.e., a fractional part that is m times as big as 1/n.