We will share a conceptualization of teachable moments in mathematics classrooms that provides guidance in recognizing which student contributions during whole-class discussion might be worth taking up as a focus for joint sense-making. We will then share a conceptualization of the teaching practice of building—the practices teachers can enact that take advantage of these moments. Through the workshop, teachers will engage with the presenters and with each other as they consider these conceptualizations and the implications they have for their classroom practice. We will share some concrete ways that teachers can begin to enact this practice in their own classrooms.