In this article, the author describes a collaborative problem-based inquiry project with eighty-three secondary students. The students attended a large high school situated in a medium size town, surrounded by farmland and smaller rural towns. Demographically, nearly half of the students identified as Latina/o, while the slight majority of the…

It is hard to imagine that, eight hundred years on, the study of Fibonacci could affect the lives of teenagers in Australia. Or is it? A mathematics class of more able Year 9 students in a regional city of Western Australia feels that it has happened to them. Thirty-two students submitted a Fibonacci task as a mathematics assessment, with many of…

Many dance artists in their first encounters with improvisational dance making begin not only to learn how to compose spontaneously, but also to gain skills for coping with the uncertainties inherent in the form. This article suggests helpful dance scores for beginning students of physical improvisation and those who teach improvisational…

Most students can follow this simple procedure for division of fractions: "Ours is not to reason why, just invert and multiply." But how many really understand what division of fractions means--especially fraction division with respect to the meaning of the remainder. The purpose of this article is to provide an instructional method as a…

Long before the release of the Common Core State Standards (CCSSI 2010), the Mathematical Tug-of-War was engaging students in the type of reasoning and problem solving described by the Standards for Mathematical Practice (SMP). In this updated version of a Marilyn Burns task, students use algebraic reasoning to determine the outcome of a contest…

The classical "brachistochrone" problem asks for the path on which a mobile point M just driven by its own gravity will travel in the shortest possible time between two given points "A" and "B." The resulting curve, the cycloid, will also be the "tautochrone" curve, i.e. the travelling time of the mobile…

Solving non-routine problems is a key competence in a world full of changes, uncertainty and surprise where we strive to achieve so many ambitious goals. But the world is also full of solutions because of the extraordinary competences of humans who search for and find them. We must explore the world around us in a thoughtful way, acquire knowledge…

For many educators, the inspiration to teach comes from a desire to make a positive difference in students' lives. As they seek to guide students toward their big goals through trying times, teachers need resources that strengthen social and emotional skills. Facing this very challenge, Allison Silverman, a teacher at Port Chester Middle School in…

Place-based education has traditionally had a limited focus on mathematics, and critical mathematics education often lacks explicit attention to place and space. We explore integrating theories of place, spatial justice, and critical mathematics education. To begin, we consider various frameworks of place--including Indigenous, urban, and critical…

In this follow-up article, the authors explain that when technology is integrated in an equitable manner and with due regard for professional learning, the affordances of Web 2.0 technology and interactive devices allow teachers to not only promote procedural fluency but also to develop students' conceptual understanding, reasoning and…

Picture this: a PhD chemist, PhD science educator, and a preservice Latina elementary educator walk into an aftercare program for primary and intermediate students from a rural school. These students are identified as low income and at risk and therefore eligible to participate in this school-provided aftercare. While across the state, these same…

The application of ethnomathematics and mathematical modelling allow us to see a different reality and give us insight into mathematics accomplished holistically. In this context, a pedagogical action that connects ethnomathematics and the cultural aspects of mathematical modelling with its academic features is referred to as ethnomodelling. This…

This article proposes that in addition to training teams of students to succeed in the Mathematical Contest in Modeling, the contest and the preparation for competition can be successfully used as a framework to teach an auxiliary skill set to undergraduate STEM majors through workshop-style modules. The skills emphasized are collaboration across…

The movement towards competency-based education in social work has required a shift in delivery to more experiential learning opportunities for students. Looking forward, the Council on Social Work Education [CSWE] has instituted a Futures Task Force, exploring roles social workers may play in the future, with particular attention to the evolution…

Because students have often been conditioned as passive learners and receivers of knowledge, it can be difficult for them to persevere in solving authentic problems. Nevertheless, teachers must persist in preparing students as problem solvers and critical thinkers. In an urban inner-city neighborhood school in the southeast, students embarked on a…