Like many math educators, I have spent much of my career bound to traditional methods of instruction and assessment. In recent years, motivated by a growing understanding that such approaches may not result in equitable or inclusive classroom environments, my teaching philosophy has shifted radically. In this article, I describe how I transformed…

When a teacher plans instruction, he has in mind some prototypical students or group: someone like himself or some group similar to his in ability. With this conception of the prototypical students or group, he teaches only one-third of students to reach a level of achievement. At the end of semester, most teachers give their grades, generally…

Discusses major outcome goals and proposes the use of a system of learning strategies and instructional procedures known as content enhancement with an academically diverse group of students, including gifted students with learning disabilities. Content-enhancing instructional routines focus on organization, understanding, recall, and application…

A review of research and proposed models on classroom processes allows identification of four key characteristics of effective classrooms in elementary and secondary education. The four characteristics encompass (1) teacher attention to student characteristics, including prior learning and learning styles; (2) congruence among the course goals,…