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…

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…

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…

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,…

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…

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…

Vocabulary is an area that requires foreign language learners to work independently and continuously both in and out of class. In the Japanese EFL setting, for example, more than 97% of the population experiences approximately six years of English education at secondary school during which time they are required to learn approximately 3,000 words…

Even though many post-secondary institutions offer a variety of Hispanic linguistics classes (Hualde 2006; Lipski 2006), research on the pedagogy of Hispanic linguistics is an underdeveloped or non-existent area of the discipline. Courses in Hispanic linguistics can present not only linguistic challenges for non-native speakers of Spanish, but…

Group learning strategies are used extensively in social work education, despite the challenges and negative outcomes regularly experienced by students and faculty. Building on principles of cooperative learning, team-based learning offers a more structured approach that maximizes the benefits of cooperative learning while also offering…

High school teachers who engage students through active learning in their classrooms can more fully understand this instructional practice by examining the theories and strategies underlying the cognitive perspective of educational psychology, which addresses the development of knowledge in the individual mind. Two theoretical explanations,…

One of the most important concepts being taught in principles classes is the idea of "thinking on the margin." It can also be one of the most difficult to get across. One of the most telling examples, according to this author, comes in trying to get students to learn the profit maximizing condition for perfectly competitive firms. She…

Asserts that well-designed course assignments are a critical component of effective teaching and learning processes. Discusses the Course Assignment Framework, which delineates 10 assignment categories, their rationales, and their advantages for faculty and students. States that the framework promotes combining tasks so that instructors can…