Preschool teachers’ expectations about what mathematics they should engagechildren in are generally centred about numbers and counting. However, theSwedish preschool curriculum and research into young children’s developmentof mathematical understanding suggest that children can be offered a muchricher set of ideas. In this paper, we examine material from a professionaldevelopment course which indicates that discussing Bishop’s six universalmathematical activities provided preschool teachers with a wider perspective fordiscussing the mathematics, which children in their preschools engaged with.