Formative assessments and feedback are vital to enhancing learning outcomes but require that learners feel at ease identifying their errors, and receiving feedback from a trusted source--teachers. An experimental test of a new theoretical framework was conducted to cultivate a pedagogical alliance to enhance students' (a) trust in the teacher, (b)…

Learning algebra is difficult for many students in part because of an emphasis on the memorization of abstract rules. Algebraic reasoners across expertise levels often rely on perceptual-motor strategies to make these rules meaningful and memorable. However, in many cases, rules are provided as patterns to be memorized verbally, with little overt…