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…

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…

Accurately modeling individual students' knowledge growth is important in many applications of learning analytics. A key step is to decompose the knowledge targeted in the instruction into detailed knowledge components (KCs). We search for an accurate KC model for basic equation solving skills, using data from an intelligent tutoring system (ITS),…

It is not typically the bent of infrastructure to be continually responsive in a way that is expansive and inclusive; instead, for newcomers or those with alternative histories, aims, vision, values, and perspectives, the inertia of infrastructure is more likely to be experienced as infrastructural breakdowns. We ask: "What might wisdom look…

As in the rest of the world, teachers' roles have been changing in the Turkish educational system. In this process, their roles have been redefined as technical and social roles. In their technical roles, they focus on regular educational core tasks while in their social roles they dwell upon a wide range of social tasks besides teaching. However,…

The current industrial revolution demands a revolution on teaching methodologies at all levels, particularly for higher education. Here, we present an efficient model to teach technologies associated with Industry 4.0 (I4.0) in undergraduate engineering courses. The first step was identifying the main skills required for an I4.0 practitioner and…

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…

Scholars propose that contextual problems can be used to ground students' understanding of mathematical ideas, and recent curricular trends have resulted in a plethora of resources that introduce and develop new mathematical ideas through contextual problems (CPs). Given the tension between this approach and the traditional role of CPs as…

Purpose: This article, based on an invited talk, aims to explore the relationship among large-scale assessments, creativity and personalized learning. Design/Approach/Methods: Starting with the working definition of large-scale assessments, creativity, and personalized learning, this article identified the paradox of combining these three…

The goal of this paper is to present a succinct consolidation of the why, what and how of the 'Model' method as there is a lack of such documentation for researchers, practitioners and policy makers thus far. The 'Model' method is a tool for representing and visualising relationships when solving whole number arithmetic (WNA) word problems. The…

Purpose: In the face of constant and rapid development achieving a work--life balance requires highly qualified and motivated professionals who can deal with stress and the demands of the future. In response, by facilitating school- and work-based learning, upper secondary vocational education and training (VET) prepares and qualifies adolescents…

Students' ability to apply mathematical knowledge to various situations has been one of the major concerns in mathematics education research. However, little is known about the assessment strategies that have a substantial contribution to the development of mathematical problem-solving skills in kindergarten children through to upper secondary…

A mathematical client-driven task known as Model-Eliciting Activities was implemented with students of different levels of achievement (i.e., low, average, and high) at the high-school level. The study strived to prove that Model-Eliciting Activities can be solved by students at any achievement level and be used as an assessment tool. Students…

School policies and practices have historically lent themselves to disproportionate suspension and expulsion rates based on students' race, gender, and disability. The disparity between racial minorities, particularly Black males, and their White peers has generated concern from various stakeholders. Using Kingdon's ("Agendas, alternatives,…