Barlow et al. (2018) discussed three types of mistakes worthy of inspection: procedural errors, inappropriate solution processes, and misconceptions. Here, the authors focus on procedural errors, as these often led the teachers in their professional development project to limit their inspection of mistakes to correcting. Despite this narrow focus,…

Meaningful student-teacher relationships form a crucial foundation for teachers to deliver effective interventions leading to better outcomes for students with challenging behavior. By implementing simple recommendations for facilitating genuine and intentional interactions with students and regulating their own emotional responses, teachers can…

Effective teaching requires enjoyable classroom tasks aimed at promoting students' learning of mathematics meaningfully, and previous research has demonstrated that the use of origami activities in mathematics classrooms can help achieve that goal. In this article, the authors describe their "LOVE MATH" one-straight-cut letter origami…

This introduction presents Active Learning Methodology, surveying its history, main existing tools and supporting evidence, with an emphasis on mathematics and higher education, in particular engineering studies. This work is part of the DrIVE-Math project, developing innovative mathematical teaching strategies in engineering studies.

Challenging behavior can impact the learning environment and prevent educators and students from demonstrating behavioral and academic success. Schools and districts may implore a framework of tiered systems of support to respond to students struggling behaviorally or academically. These systems provide a decision-making process to aid educators'…

Design thinking is on the rise as a novel method for creative problem solving in healthcare professional programs. This article will focus on implementation of the concepts of design thinking in the classroom, its utility in pharmacy education, and the advantages it provides from both the faculty and students' perspectives within the…

The fear of making mistakes and avoidance of risks can create disabling anxiety and limit learning opportunities. However, it is possible to teach mathematics in ways that not only reduce student agency but also have the effect of excluding some students. This article proposes approaches that are intended to both foster student decision making and…

Young students starting school for the first time (e.g., kindergarteners) often benefit from more than typical intensity of behavioral support. Learning new social expectations, routines, and interaction patterns can be daunting. This is an important concern for schools implementing positive behavioral interventions and supports (PBIS). Learning a…

The article describes how one fifth-grade teacher helped her students to exercise their Rights of the Learner (e.g., to be confused; to claim a mistake; to speak, listen, and be heard; and to write, do, and represent what makes sense) as they learned to graph and interpret non-linear data.

The authors describe how the Monty Hall Dilemma, a well-known choice anomaly, can be demonstrated with a simple and versatile classroom experiment. In addition to demonstrating the anomaly, the experiment can be used to introduce students to some institutional modifications that have been shown to ameliorate it. This experiment, which can be…

Two simple discrete-time models of mutation-induced cannibalism are introduced and investigated, one linear and one nonlinear. Both form the basis for possible classroom activities and independent investigative study. A range of classroom exercises are provided, along with suggestions for further investigations.

Can we pave the way to world peace through education of the next generation? This paper focuses on how teaching social and emotional learning (SEL) skills in schools could promote the positive development of children and youth so that they can choose prosocial, nonviolent ways of building relationships with others. First, research on how belonging…

"Ensuring Mathematical Success for All" (NCTM 2010) outlines eight teaching practices for effective teaching and learning of mathematics. One of the teaching practices, building procedural fluency from conceptual understanding, states the following: Effective teaching of mathematics builds fluency with procedures on a foundation of…

Intelligence is not fixed. While many of us may not be innately talented in all areas of learning, all of us are capable of learning anything. It is important that teachers help communicate this concept to students and help students to develop this growth mindset. This article first compares growth and fixed mindsets, discussing some of the…

This article considers the very real issues many of us face in the classroom when we, and our students, confront difficult or depressing issues, situations, or materials. Working with topics such as human rights abuses, environmental degradation, racism and xenophobia, and poverty among many others, students and faculty can experience compassion…