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…

Homework in introductory physics represents an important part of a student's learning experience; therefore, choosing the manner in which homework is presented merits investigation. We performed three rounds of clinical trials comparing the effects of mastery-style homework vs. traditional-style homework with students in both algebra-based and…

The flipped classroom is a teaching methodology that has gained recognition in primary, secondary and higher education settings. The flipped classroom inverts traditional teaching methods, delivering lecture instruction outside class, and devoting class time to problem solving, with the teacher's role becoming that of a learning coach and…

Flipped learning is a type of blended learning model. Blended learning (as defined by the Innosight Institute) refers to "a formal education program in which a student learns at least in part through online delivery of content and instruction [with] some element of student control over time, place, path, and/or pace AND at least in part at a…

This paper is part of a series of studies to improve the efficacy of online physics homework activities by integrating narrated animated solutions with mastery inspired exercises. In a clinical study using first- and second-year university students, the mastery group attempted question sets in four levels, with animated solutions between each…

E-Learning brings access to a powerful but often overlooked teaching tool: random number generation. Using random number generation, a practically infinite number of quantitative problem-solution sets can be created. In addition, within the e-learning context, in the spirit of the mastery of learning, it is possible to assign online quantitative…

This document presents a review of evidence commissioned by the Education Endowment Foundation to inform the guidance document "Improving Mathematics in Key Stages Two and Three" (Education Endowment Foundation, 2017). The review draws on a substantial parallel study by the same research team, funded by the Nuffield Foundation, which…

This study utilized an explanatory mixed-methods research design to investigate the effect of learning environment on student mathematics achievement, and mathematics self-efficacy, and student learning style in a ninth grade Algebra I classroom. The study also explored the lived experiences of the teachers and students in the three different…

This individualized program has as its main components homework sheets, mastery tests, and progress sheets. (MP)

This booklet focuses on aspects of effective education that appear to be universal in formal schooling. The practices, which are generally for use in elementary and secondary classrooms, show large, positive learning effects for students in widely varying conditions. Information in the booklet is based on research spanning half a century. Each…