“…Using the BAR model also enabled the preservice teachers to learn a hands-on method of teaching mathematics grounded in: (a) foundational knowledge (Martin & Speer, 2009); (b) active participation (Taylor, 2000); (c) reflection (Brown et al, 2008;Hart, 2002;Soto-Johnson, Iiams, Oberg, & Hoffmeister, 2008); (d) discussion (Brown et al;Martin & Speer, 2009); and (e) feedback (Bandura, 1977;Chickering & Gamson, 1999;Fernandez, 2005;Liang & Richardson, 2009;Mewborn & Stinson, 2007). This moved teaching away from a direct instruction approach to a more constructivist approach (Beswick, 2006;Lowery, 2002;NCTM, 2000) to teaching mathematics.…”