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…

Mathematical problems and puzzles that require commitment and perseverance to solve can help foster deep mathematics understanding in students. In this brief, the author describes factors that influence productive struggle, shares four examples of how teachers often respond to their students' productive struggles, and offers four strategies to…

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.

Differentiating instruction can be difficult, however, when higher performing students yearn to be stretched and lower performing students benefit from scaffolded support. One way to meet these students' learning needs and everyone in-between is to embrace the notion of novel exploration in support of critical school mathematics concepts. Novelty…

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…

Many students with Learning Disabilities (LD) experience low motivation and confidence in algebra as a result of the content challenges and the lack of mathematics success they have experienced previously (Kortering, de Bettencourt, & Braziel, 2005). The combination of multiple content deficits, an ongoing lack of success, and low motivation…

The Australian Science Teachers Association offers an innovative international professional development program for science teachers called the Science Teachers Exchange -- Japan. The program offers Australian and Japanese teachers an opportunity to travel to the corresponding country, allowing the teachers to grow in their knowledge of the…

"Sustainable WAC: A Whole Systems Approach to Launching and Developing Writing Across the Curriculum Programs" (Cox, Galin, & Melzer, 2018a) lays out a systematic whole systems approach to program development that draws on complexity theories and integrates the use of sustainability indicators (SIs) for monitoring and assessing…

Children's literature can provide useful contexts for teaching mathematics. In this article, the authors discuss the use of the children's book "Measuring Penny" (Leedy 1997) to support Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) related to length measurement. The authors first describe three types of misconceptions…

The 21st century STEM researcher is increasingly called upon to work collaboratively on large-scale societal challenges. In this setting, disciplinary methods and methodologies may function as starting points, but they lack a focus on the metacognition and inquiry-based thinking required to analyze, evaluate, and synthesize diverse global…