Abstract
For today’s students to be successful tomorrow in the world beyond school, their mathematics education must go
beyond assembling a fixed toolkit of skills and procedures. They will need to be able to adapt and apply the material
they learn in school in subtle ways, in order to produce tactful and appropriate solutions to problems under constraints
and uncertainty. In this chapter, we describe a genre of activities that provide this kind of experience to learners in
classrooms settings. We consider the student experience of these activities, and we show how uncertainty about how to
apply the knowledge they have learned opens up space for students to use mathematical ways of thinking to interpret the
world. We then show how the presence of a concrete Client provides a means for students to continually test whether
their emerging solutions are responsive to the human needs and perspectives of this Client, as well as sensitive to
other people in the problem who are affected by their solution.