Most mathematics assignments consist of a group of problems requiring the same strategy. For example, a lesson on the quadratic formula is typically followed by a block of problems requiring students to use the quadratic formula, which means that students know the appropriate strategy before they read each problem. In an alternative approach,…

An ethnographic study documented and analyzed the idiosyncratic symbols kindergarten children employ to encode their experiences in the domains of mathematics, music, and visual art, in order to identify any patterns in use and meaning. In the area of mathematics, children were given common objects and asked to sort them. Four categories of…