“…This requires shifting roles for teachers and students, with students explaining and questioning one another and taking on increased responsibility for one another's learning (Hufferd-Ackles, Fuson, & Sherin, 2014;Stein, Engle, Smith, & Hughes, 2008). In addition, teachers create classroom norms that promote presentation, argumentation, and justification of mathematical ideas (Carpenter & Lehrer, 1999;NCTM, 2014), while also honoring the unique and valuable contributions that students bring to the learning setting (Boaler & Staples, 2008). It is this vision of teaching, promoted by national reform documents and the mathematics education research community (Franke et al, 2009;Lampert, Beasley, Ghousseini, Kazemi, & Franke, 2010;NCTM, 2014;NRC, 2001), as well as reflected in assessment systems for improving teaching (Darling-Hammond, 2006) that we ascribe and use as the foundation for a vision of ambitious pedagogy to which we seek to apprentice future teachers.…”