Homework has been shown to provide positive impacts on student performance at the undergraduate level. Providing an incentive for students to complete homework assignments, however, can be challenging and result in grade inflation or promotion of a mentality where students attempt to collect points rather than use these assignments for feedback…

I describe the motivation, structure, implementation, and student feedback of my mastery-based testing (MBT) system with a significant final exam component in Calculus I and II since 2016. Grades for each written assignment, quiz, and exam question were assigned on a Mastery/Progressing/Needs Improvement (M/P/NI) scale. Homework and quizzes could…

Standards-based grading (SBG) is an assessment/grading system that attaches scores to the mastery level of specific learning objectives. This methodology is gaining momentum in the K-12 environment but has been largely overlooked at the post-secondary level. In this paper, I will discuss the implementation of this practice in a College Algebra…

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…

Learning curves have proven to be a useful tool for understanding how a student learns a given skill as they progress through a curriculum. A learning curve for a given Knowledge Component (KC) is a plot of some measure of competence as a function of the number of opportunities the student has had to apply that KC. Consider the case where each…

Developmentally appropriate homework plays a critical role in the formation of positive learning beliefs and behaviors, including a belief in one's academic ability, a deliberative and effortful approach to mastery, and higher expectations and aspirations for one's future. It can prepare children to confront ever-more-complex tasks, develop…

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…