Providing students with opportunities to build, and test and revise ideas, can help them develop critical thinking and problem-solving skills. In this article, the authors describe how core measurement and geometry concepts were embedded within a "Model It!" task. They replicate an industry-based, interdisciplinary problem, but only…

There is a general consensus that design-based research (DBR) is a genre of approaches in education research to design interventions for specific problems with the aim to gain an understanding of how they work in the problem context. While there is a considerable body of literature discussing the epistemic and methodological aspects of DBR, we…

Simplifying equations via assumptions is integral to the "engineering method." Algebraic scaling helps in teaching the engineering skill of making good assumptions. Algebraic scaling is more than a pedagogical tool. It can create a solution where one was not possible before scaling. Scaling helps in engineering proper design…

The growing use of programming in mathematics classrooms presents a challenge linked to implementation in general and task design in particular. This article presents design ideas for mathematical problems incorporating programming in which the focus remains mainly on learning mathematics and less on learning programming. The article starts by…

Educators face the challenge of continually adapting and evolving their pedagogy to meet the needs of diverse learners. Learner experience design (LX) is a human-centered approach to curriculum and assessment development that is easily learned, adaptable, and repeatable. It focuses on empathy for students and creative problem-solving. In this…

Various theories and models discuss how instructional designers can develop systems that allow learners to engage in problem-solving. To date, many of these theories and models that guide design often describe how learners engage in meaning-making within a situated context; however, they do not address strategies instructional designers can use to…

The design of algorithms is one of the hardest topics of high school computer science. This is mainly due to the universality of algorithms as solution methods that guarantee the calculation of a correct solution for all potentially infinitely many instances of an algorithmic problem. The goal of this paper is to present a comprehensible and…

The Great Mini-Golf Project requires students to use a ruler to identify measurements to the quarter-inch, with careful precision and accuracy, which supported the Standards for Mathematical Practice 5 and 6: using appropriate tools to solve mathematical problems with precision (NGA Center & CCSSO, 2010). This project also supported Standard…

Mathematics is most engaging when students see the relevance to their own lives and communities (Civil, 2002; National Council of Teachers of Mathematics [NCTM], 2000). The Temporary Skate-Safe Area task is an example of how mathematical modeling can be used to solve a real-world problem in a way that promotes mathematical belonging, social…

A hybrid of architectural design and engineering, architectural engineers (AEs)design and remediate problems with internal and external structures and systems of building and facilities in the US. Trained and credentialed in academic programs awarding approximately 1,000 degrees annually, AE is a mid-sized specialty engineering degree comparable…

This book explores analogue game-based learning in the context of the Anthropocene, addressing an urgent need for educational approaches beyond traditional scholastic boundaries. In the context of a complex world, the book emphasises the inadequacies of current educational methods and the potential of game-based learning to foster collective…

The initial high expectations of applied linguistic work did not endure. Applied linguistics is divided between adopting either a modernist or a postmodernist approach. Despite their relevant critique of modernism, the relativism promoted by postmodernist perspectives is an inadequate response to the challenges of the field. A non-reductionist…

Every teacher aspires to create the ideal lesson! You want to convey the knowledge and skills in the best possible way while also keeping learners motivated. In our design case, we focus on the complex skill of collaborative problem-solving (CPS). In today's complex world, the acquisition of CPS competencies is considered an important learning…

One way to help frame a focus on problems instead of things is the Grand Challenges concept, which has been used in many other fields to date. Grand Challenges are an articulation of large-scale, complex problems that may be addressed through coordinated and sustained efforts but require long-term effort. Often, the articulation of Grand…

In response to the criticism that theory-driven researcher-developed learning tools lack scalability and sustainability in the real world, the design-based implementation research (DBIR) approach was proposed. However, few empirical studies actually describe what a DBIR study looks like and how it can inform readers about learning tool design. We…