Many students around the world are exposed to a rote teaching style in mathematics that emphasizes memorization of procedures. Students are frequently presented with standard types of equations in their textbooks, in which the equal sign is immediately preceding the answer (a + b = c). This exposure can lead to many misconceptions, such as…

This article describes how fifth grade students participated in a place-based environmental education initiative in West Michigan that supports teachers who want to involve their students in citizen science by protecting local water resources. Every year, Groundswell works with about 100 teachers at 30 schools to engage students in citizen science…

Green chemistry and sustainability have garnered more awareness in the chemical industry in recent years, but green chemistry classes are still not commonplace for either the undergraduate or graduate student curriculum. Additionally, many departments are seeking avenues to reach greater numbers and types of learners through online courses. To…

Perovskite solar cells have garnered exponential research interest due to their facile fabrication, solution processability, and low cost. However, there have been limited efforts to integrate this class of materials into the undergraduate laboratory curriculum. Therefore, we designed an integrated laboratory experiment in our upper-division…

We describe three activities that help undergraduates (pre-service teachers) to develop scientific vocabulary on measurable attributes and units of measurement. Measurable attributes are important features in understanding a word problem and solving the problem. These activities help students comprehend word problems better by identifying…

Although traditional textbooks may not guide students through explorations or encourage group work, as many standards-based curricula do, virtually all textbooks contain mathematically accurate information and problems that, with adjustment, can be leveraged to support mathematical curiosity, reasoning, and discussion. Teachers who recognize rich…

The Research Skill Development (RSD) framework was devised in 2006 to articulate what educators do when they facilitate student learning through active exploration in ways that enable their skills to grow in sophistication and rigour. This special issue of JUTLP comprises eight articles that focus on the critique, adaptation and application of the…

In this article, the authors engage middle-grades students in a series of tasks to develop the mathematical idea of equal versus equivalent, culminating in a gerrymandering task with social, political, economic, and educational implications. The primary mathematical goals of this exploration were to involve students in solving real-world problems…

Rich mathematical modeling activities are crucial to giving students agency and making mathematics meaningful. Proportional reasoning and transitional algebraic reasoning are the primary topics in the prealgebra curriculum, so a need exists for meaningful modeling activities using proportional reasoning in addition to geometric modeling. In…

The aim of this paper is to study teachers' roles in preschool children's mathematical reasoning using analysis of epistemological moves. Three moves were identified: instructional moves, confirming move and a new move, concluding move. There were no generative moves encouraging the children to produce different arguments for choice of strategy or…

One of the central goals of modern science and chemistry education is to develop students' abilities to understand complex phenomena, and productively engage in explanation, justification, and argumentation. To accomplish this goal, we should better characterise the types of reasoning that we expect students to master in the different scientific…

Embedded within ongoing university-community partnerships, participatory action research experiences for undergraduates -- or PAR-based UREs -- are multi-disciplinary, action-oriented research opportunities that engage undergraduates in collaborative research to address community-defined challenges. PAR-based UREs integrate participatory action…

Academics are increasingly required to balance the expectations of the 'old' academy with a future model of universities as interdisciplinary and transdisciplinary 'problem solvers'. This paper highlights changing expectations of academics in producing alternative research outcomes in collaborative, practice-based research. Through a series of…

Technological advances afford teacher educators, designers, and researchers the opportunity to use videos as an instructional tool to help parents, caregivers, teachers, and other adults support young children's mathematical development. We created five Magic Math Minute videos to highlight examples of young children's mathematical thinking and to…

Gap reasoning is an inappropriate strategy for comparing fractions. In this article, Patrick Sullivan and Joann Barnett look at the persistence of this misconception amongst students and the insights teachers can draw about students' reasoning.