Although it is not a new idea, discourse continues to be a topic of discussion among teachers, teacher educators, and researchers in mathematics education. The National Council of Teachers (NCTM) and the Common Core State Standards for Mathematics (CCSSM 2010) describe mathematics classrooms as discourse communities in which whole-class…

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…

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'…

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…

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…

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…

This paper describes how we, a group of 7 emerging teacher educators, took up a critical inquiry framework to collaboratively generate knowledge through dialogic reflection on practice across educational contexts. We participated in culture circles and teatro as a practice of teacher education that centers love and humanizing practice. Together…

Get an inside look at the discourse interactions of third- and fourth-grade students as they consider various design proposals to solve an engineering problem and negotiate a group decision. The authors present possible factors that impact student teamwork and provide recommendations for teachers to develop students' skills for group engineering…

Integrating the disciplines of mathematics and science is one way to place the calculations of volume and surface area into a real life context. The authors present an activity for middle-school students that aims to promote their learning of these key concepts in a personally meaningful way, whilst also developing inquiry and problem solving…

One of the biggest obstacles to overcome in creating and sustaining an administrative professional learning community (PLC) is time. Administrators are constantly deluged by the tyranny of the urgent. It is a Herculean task to carve out time for PLCs, but it is imperative to do so. In this article, the authors describe how an administrative PLC…

The author discusses how to teach students to extend economic models using in-class scaffolding assignments, supported by discussions and workshops. Methods include discussions of a model's strengths and weaknesses; small group, in-class assignments that provide steps toward model extension; informal presentations of the work resulting from these…

A Number Talk is a brief activity (10-15 minutes in length) that is designed to support students' mathematical sense making and promote flexible thinking. During a Number Talk, students engage in mental computations. Number Talks help students do the following: (1) Develop number sense focused on making sense of quantity and mathematical…

The desire to persuade students to avoid strictly memorizing formulas is a recurring theme throughout discussions of curriculum and problem solving. In combinatorics, a branch of discrete mathematics, problems can be easy to write--identify a few categories, add a few restrictions, specify an outcome--yet extremely challenging to solve. A lesson…

Introductory science courses serve a population of students in the major (i.e., chemistry) as well as those students outside the discipline (i.e., premed, biology, engineering). In an effort to help this diverse population of students connect personally with the content of the course, we sought ways to include student-centered activities, provide…