Achieving meaningful educational outcomes requires scalable strategies for mastering mathematical concepts and skills, with student engagement at the core. This paper examines the use of comprehensive, technology-enhanced activities designed to promote active learning and deeper conceptual understanding. Specifically, it focuses on the integration…

For students to advance beyond arithmetic, they must learn how to attend to the structure of math notation. This process can be challenging due to students' left-to-right computing tendencies. Brackets are used in mathematics to indicate precedence but can also be used as superfluous cues and perceptual grouping mechanisms in instructional…

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…

This article examines how educational scaffolding was used in a graduate research methods course to encourage student mastery of two qualitative research concepts, interviews and narrative inquiry. Findings suggest that scaffolding resulted in students' mastery of both concepts as well as students' increased attention to quality of interview…

Completing homework assignments is part of students' daily routine. Because this task is embedded within the home environment, parents play an important role in homework-related attitudes and behaviors. Recent findings have demonstrated that effort and cognitive engagement while doing homework are better proximal predictors of positive outcomes…

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…