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…

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…

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…

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…

Background and Context: Block-based programming is a popular approach to teaching introductory programming. Block-based programming often works in the context of microworlds, where students solve specific puzzles. It is used, for example, within the Hour of Code event, which targets millions of students. Objective: To identify design guidelines…

This case presents how the leadership team and faculty of a small, independent school used design thinking to respond to a competitive marketplace and desire for enrollment growth in the middle grades. The new middle school head came in with a mandate for substantial change and sought to engage all stakeholders in a process of redesign and program…

One hundred years ago, Paul Weiss and Ludwig von Bertalanffy independently proposed that living organisms interact with their environment through systems. In the century that has followed, systems thinking and modeling have grown in tandem with discovery of the vast complexity of the universe at microscopic through astronomic levels. As our…

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.…