Many of today's educators learned math in elementary and secondary schools with approaches very different from those outlined in the current standards, and it is difficult to teach for proficiencies educators have not yet developed in themselves. How can teachers find time for this kind of professional learning with all the other responsibilities…

Education professionals face myriad problems of practice, especially in the face of current trauma, injustice, and other stressors. To address those challenges, educators should work collaboratively to target the sources, not just the symptoms, of the problems. Asking why can begin to surface root causes, which may be related to systems,…

Incorporating open-ended real-world tasks enhances students' access to mathematical and real-life knowledge and maximizes learning experiences. This article examines how a secondary mathematics teacher used an open-ended problem on distributing pay raises to teach mathematical concepts and fairness to students. The teacher's actions exemplify…

In teaching bi/multilingual students, translanguaging underscores "what students know and can do (speak two languages) instead of what they do not know (English)" (Phakeng & Moschkovich, 2013, p. 125). Employing translanguaging strategies in the mathematics classroom can create an inclusive learning environment that values students'…

Three staples of management and organizational behavior classes are units on creativity, problem solving, and group decision making. This article presents an experiential exercise in creative problem solving in which the participants attempt to create a cartoon caption both individually and in small groups. The cartoons all come from "The New…

Open tasks are mathematical problems "that promote mathematical reasoning and problem solving and allow multiple entry points and varied solution strategies" (National Council of Teachers of Mathematics [NCTM], 2014, p. 17). Open tasks can have more than one right answer, solution, or outcome. Facilitation of open tasks offers learning…

The authors share an online collaborative problem-solving activity that integrates support for students' developing conceptual understanding, focused engagement, and positive feelings of agency and identity.

Even before the release of the National Council of Teachers of Mathematics (NCTM)'s Principles to Actions (2014), teachers paid significant attention to mathematics tasks based on their positive influence on student learning (Doyle, 1988; Kazemi, 1998; NCTM, 1989, 2000). Over the last almost quarter century, we have learned a lot about high-level…

Comparison is a powerful and important way that we learn. To support teachers in the use of comparison in their instruction, the authors developed an instructional routine called compare and discuss multiple strategies (CDMS). Similar to other instructional routines, CDMS is a structured, specific, repeatable minilesson that teachers can use to…

This article is a chronological description of the author's growth as a teacher, through both her direct experiences with Vivian Paley and the years of their correspondence. Mrs. Paley's qualities as a human being, directly translated into her role as a classroom teacher, are shown to be powerful influences on the author's own development. The…

The COVID-19 pandemic has affected student learning; according to the National Assessment of Educational Progress (2022), scores for students in the United States have shown a decline in mathematics. . One way educators can strengthen students' current mathematical knowledge and bridge to new content is through Number Talks. Number Talks are brief…

During the past few years, the social interactions of students have been limited. The act of social distancing has not only exacerbated developmental gaps in social and emotional learning (SEL) (Vaillancourt et al. 2021) but also interrupted mathematics instruction (Lewis et al. 2021). Teachers are searching for strategies that promote…

Homework gives students the opportunity to practice new skills in both familiar and unfamiliar situations, and to develop an understanding of related concepts. Although some of these goals can be easily accomplished in online homework, many systems are less useful for handling open-ended questions. Written homework, on the other hand, takes time…

We discuss two proof evaluation activities meant to promote the acquisition of learning behaviors of professional mathematics within an introductory undergraduate proof-writing course. These learning behaviors include the ability to read and discuss mathematics critically, reach a consensus on correctness and clarity as a group, and verbalize what…

The Collaborative for Academic, Social, and Emotional Learning (CASEL) identifies five core, interrelated social and emotional learning (SEL) competencies that children need to be successful in school, at home, and in their community: (1) self-awareness; (2) self-management; (3) responsible decision-making; (4) relationship skills; and (5) social…