The document outlines seven shifts in mathematics instruction aligned with Common Core standards: 1) From same instruction to differentiated instruction; 2) From individual to collaborative work; 3) From teacher-centered to student-reasoning based authority; 4) From demonstrating "how to" to communicating expectations; 5) From isolated to connected content; 6) From correct answers to explanations and understanding; 7) From easy tasks to engaging students in productive struggle. The document also provides references for further reading on mathematics coaching related to the classroom shifts.