We believe that developing cultural competencies can help students learn mathematics and conversely that learning mathematical content can help students learn about themselves and others. Using frameworks introduced by Rendón (2009) and Gutiérrez (2018), we present a five-part bundle of activities for undergraduate differential equations course…

Incorporating writing into an economics course is a beneficial goal of economic educators. The potential benefits of using writing to enhance learning among economics students have been emphasized in the literature. Writing to Learn (WTL) is an act of using writing activities to help students think through key concepts presented in a course. The…

A typical mathematics assignment consists of one or two dozen practice problems relating to the same skill or concept, yet empirical evidence suggests that there is little or no long-term benefit from working more than a few problems of the same kind in immediate succession. Alternatively, randomized experiments in the laboratory and classroom…

Essay exams offer many benefits for instructors who seek to vary their assessment methods and engage students in critical discourse, yet they also pose many challenges and require thoughtful construction and evaluation. The author provides an extensive overview of the literature to illuminate best practices for designing and assessing effective…

Most teachers try to avoid having students experience uncertainty in their schoolwork. But if we want to prepare students to tackle complex problems (and the uncertainty that accompanies such problems), we must give them learning experiences that involve feeling unsure and sometimes even confused. Beghetto presents five strategies that help…

For adult learners in online courses, writing is the predominant means by which all interaction takes place. As those participating in online education rely heavily on engagement with content, peers, and instructors, special attention should be given to include various activities that promote written communication to foster a positive and engaging…

Educators usually mean different constructs when they speak of open tasks: some may refer to pure-mathematics investigative tasks while others may have authentic real-life tasks in mind; some may think of the answer being open while others may refer to an open method. On the other hand, some educators use different terms, e.g. open and open-ended,…

Introductory-level laboratory courses provide students with hands-on experience using the discipline's tools and theories. These courses often rely on recipe-based experiments due to the constraints of large enrollments, short lab periods, and the desire to minimize complexity. In addition, covering a breadth of topics can lead to a fragmented…

Metacognition has increasingly been recognized as essential for learning. This paper defines metacognition, discusses its importance, and specifies how faculty can nurture it in students to promote positive learning outcomes. The paper then offers extensive examples based on two formats: (1) activities offered before, during, and after lessons or…

This conceptual article focuses on teaching and learning strategies aimed at helping students in higher education develop cross-crossing skills such as communication, critical thinking, teamwork, problem-solving, and working with diverse others. Within the framework of high impact practices and their elements, the article shares practical ideas…

New scholarship advocates that students should learn deeply and well. Little information exists on exactly how to get students deeply into material so that they understand it inside and out, backward and forward and in a way that enables them to construct knowledge schemas. The authors have developed a heuristic list of communication response…

Parents in the United States expect their students to have homework; and students, especially in middle school and high school, expect daily homework assignments from their teachers. However, it is difficult to create effective homework assignments. Despite the challenges involved, the authors believe that homework "can" be an important…

To varying degrees, all instructors have experienced the frustration of receiving student assignments that have clearly been commenced and completed, at a very superficial level, just days prior to the submission date. The lack of engagement in the assignment task is often symptomatic of a lack of real engagement in the unit as a whole. This…

Majority of learners in our classrooms are digital natives or Millennials--a category of learners who tend toward independence and autonomy in their learning styles. The primary challenges then facing instructors include: How do digital natives learn and how do you teach them? The answers to these questions will help instructors to: (a) identify…

The following article maps the questions, methods, contexts, and theories presented in published scholarship on writing-related transfer. While not exhaustive, this review attempts to capture representative samples with a focus on recent publications. The article then highlights a multi-institutional research initiative that aims to flesh out the…