The principle of relativity is of fundamental importance in practice when we are solving problems in physics since the axiom states that the result of any physical experiment is the same when performed with identical initial conditions relative to any inertial coordinate system. Hence, conceptual knowledge of coordinate systems is central in any…

The authors describe and discuss an activity in which primary school students were instructed how to use graph theory to solve a spatial puzzle. This activity was aligned with the design principles of vicarious failure. They discuss how this impacted the type of dialogue observed in the classroom and found that students were more likely to focus…

The article presents a 5E environmental science lesson to help students understand the major environmental factors that lead to acid rain. Students are supported to ask scientific questions to solve the mystery of how acid rain might impact historical buildings. This lesson can be used in a variety of settings both in person and online modalities.…

It's time to design the next iteration of higher education. There is no question that higher education faces significant challenges. Most of today's universities aren't prepared to tackle issues like demographic change, the continued defunding of public education, cost pressures, and the opportunities and challenges of educational technologies.…

For over a decade, Which One Doesn't Belong? (WODB; Danielson, 2016) has been a beloved classroom routine that invites students to engage in mathematical decision-making and justification. In the WODB routine, four related figures are shown to students, and they are asked to decide which of them doesn't belong with the other three. The beauty of…

Seeds of Algebraic Thinking comes from the Knowledge in Pieces (KiP) perspective of learning. KiP is a systems approach to learning that stems from the constructivist idea that people learn by building on prior knowledge. As people experience the world, they acquire small, sub-conceptual knowledge elements. When people engage in a particular…

Metacognition supports students in successfully working through struggle by equipping them with the tools to maintain an awareness of what they are doing and to change directions when needed to overcome obstacles. Thus, it is of little surprise that effective problem solvers spend a significant amount of time analyzing tasks relative to the amount…

Aim: Responses to complex problems demand collaboration across practice boundaries. The studies presented here make visible the processes that constitute successful collaborations between practitioners and clients. The Argument: Complex problems can be "discovered", where practitioners recognize and address complexity through an existing…

Amid rapid technological advancements, it is increasingly crucial for educational technology research to move beyond a narrow focus on tools and gadgets, addressing instead the broader social and ethical challenges these technologies bring to education and human performance. Translational research, with roots in the biomedical sciences, is…

Leadership education as a field of study has largely been considered multi- or interdisciplinary, yet many leadership educators find their programs siloed within the constructs of higher education institutions inadequate in addressing complex issues of today's world. The authors challenge organizations to embrace a truly transdisciplinary approach…

Teacher-research clubs are an effective and infectious way to solve problems and fuel passion. Educators Sally Donnelly and Megan McCormick discuss how their do-it-yourself teacher research club helped their colleagues gain perspective on problems of practice and grew to be an influential part of their school district.

Quadratic functions are explained in the three equivalent formats: Standard (or Expanded), Vertex and Factorised. However, cubic functions are represented only in the two equivalent formats: Standard (or Expanded) and Factorised. In this article, the author shows how cubic functions can be expressed in three equivalent formats like quadratic…

Notable increases in youth mental health problems combined with strains on the already stretched mental health workforce raise concerns that there will be an ensuing increase in youth suicide thoughts, behaviors, and even deaths. Schools are recognized as crucial settings for youth mental health support and suicide prevention activities, yet…

Having students solve shape puzzles, such as with pattern blocks or tangrams, is a popular way to encourage students to compose shapes in different ways and talk about the effects of different compositions (Clements et al., 2004; Clements & Sarama, 2009; Sales, 1994), meeting Common Core geometry standards in kindergarten through second grade…

Curiosity, creativity, and aesthetics are typically studied separately. The extent to which they share psychological and neural mechanisms is not well understood, despite all being linked to broader personality characteristics like Openness to Experience and are driven by a desire for information and knowledge. Here, we review evidence and advance…