Even in simple mathematical situations, there is an array of different mathematical features that students can attend to or notice. What students notice mathematically has consequences for their subsequent reasoning. By adapting work from both cognitive science and applied linguistics anthropology, we present a focusing framework, which treats…

The implementation of online texts, videos, homework, and tests has changed the process of instruction in introductory college mathematics courses. With this change, more of the students' learning takes place outside of the traditional college classroom and in places such as tutoring centers and dorm rooms. A combination of chi-square tests--for…

This article describes a multifaceted program that improves the mathematics instruction in a school district's 10 lowest-performing schools. This program includes seven support components--including monetary incentives for teachers, professional development, education technology, and reduced class sizes. After three years, results show that the…