In this article, the authors describe the Japanese term "bansho," which refers to the intentional use of board space for facilitating student learning. Bansho offers a structure for sequencing mathematics visually on the board. By purposefully organizing the board space alongside the lesson, teachers can provide students with a framework…

BKT and other classical student models are designed for binary environments where actions are either correct or incorrect. These models face limitations in open-ended and data-driven environments where actions may be correct but non-ideal or where there may even be degrees of error. In this paper we present BKT-SR and RKT-SR: extensions of the…

Wide vocabulary knowledge is associated with proficiency in reading comprehension and scores on tests involving comprehension. Yet assessments show that U.S. students at various grade levels have demonstrated no improvement in their vocabulary knowledge since 2009. Literacy expert Timothy Rasinski and colleagues argue that students need improved…

There is a considerable and rich literature on students' misconceptions in probability. However, less attention has been paid to the development of students' probabilistic thinking in the classroom. This paper offers a sequence, grounded in socio-constructivist perspective for teaching probability.

The importance, and associated challenges, of faculty ownership and engagement in the assurance of learning (AoL) process are well documented in the literature. The authors demonstrate how schools can further their AoL objectives by encouraging and subsequently supporting organic, faculty-led initiatives. Specifically, we present a case study of a…

This article describes features of NAUTeach, a secondary mathematics teacher preparation program that is modeled on the UTeach program at the University of Texas-Austin. NAUTeach is a research-based STEM program that develops the next generation of mathematics and science teachers by engaging them in rigorous content and methodology coursework…

Conceptualizing doctoral training programs as research training environments (RTEs) allows for the exploration of theory to help counselor educators facilitate doctoral students' development from practitioners toward counseling researchers. Researchers have proposed self-concept theory as a way to understand identity development. In this article,…

The six-sentence argument (6SA) is an exercise to train critical thinking skills. Faced with a decision situation, students argue for their preferred course of action using a logical structure of exactly six sentences. Through a guided peer review, students engage critically with other students' arguments and receive detailed feedback on their own…

Educational research often requires mixing different research methodologies to strengthen findings, better contextualize or explain results, or minimize the weaknesses of a single method. This article provides practical guidelines on how to conduct such research in biology education, with a focus on mixed-methods research (MMR) that uses both…

Southern Cross University (SCU) educators and local teachers have developed a five-lesson instructional sequence built around fluke identification as a way of resolving the question: How fast do humpback whales travel up the east coast of Australia?

Resequencing Calculus is a project that has reordered the typical delivery of Calculus material to better serve the needs of STEM majors. Funded twice by the National Science Foundation, this project has produced a three-semester textbook that has been piloted at numerous institutions, large and small, public and private. This paper describes the…

This paper presents an example of an approach to teaching financial theory at the college and post-graduate levels that I call "teaching backwards". In the more traditional approach, instructors begin by explaining financial theory, then proceed to give examples of the way this theory can be applied to a business problem, structuring…

Students with or at risk of emotional and behavioral disorders can benefit from a variety of self-regulation strategies. One such strategy is goal setting, which can be used to improve both academic and behavioral outcomes in the classroom. In this article, we discuss the importance of goal setting and current research in this area. In addition,…

With the massive amounts of conflicting information and opinion bombarding us from all sides today, it has never been more important to teach young people to suspend judgment, to weigh evidence, and to consider multiple perspectives. Teaching students the craft of argument writing--not only in language arts classes, but also in social studies,…

After years of controversy and terminological debate, the plurilingual approach is now well accepted by language teaching communities. Still, doubts concerning how the plurilingual approach can shape the way we teach languages remain. The aim of this article is to describe a pedagogical and sequential approach that can be followed by teachers who…