This article discusses a set of tasks that introduce dilations using nonstandard figures, incorporating snippets of classroom conversations as students try to make sense of the specified tasks, to show how they progress in their understanding. The authors provide a theoretical foundation for the tasks and discuss the pedagogical implications for…

The ongoing COVID-19 pandemic has demanded large-scale collaboration within all organizations, including higher education, and taking teaching and learning seriously, in this moment, means leveraging partnerships to address the wicked (large, complex) problems cited by Bass (2020). These problems are not ours alone to solve; rather, we make the…

This article describes the use of mapping strategies in an interdisciplinary course using "Interdisciplinary Research: Process and Theory" (Repko & Szostak, 2021). The use of interdisciplinary mapping took place in a 300-level undergraduate course and focused on maps presented in the textbook, including the system map (and systems…

The nature of the development of arithmetic performance has long been intensively studied, and available scientific evidence can be evaluated and synthesized in light of Nelson and Narens' model of metacognition. According to the Nelson-Narens model, human cognition can be split into two or more interrelated levels. Obviously, in the case of more…

As a distinct mode of mathematical representation and communication, geometry diagrams are both signs that represent abstract geometric concepts and visual images that offer graphical-spatial properties. Dynamic geometly environment offers a wide range of tools for its users to create and interact with geometry diagrams. In this paper, I propose a…

In this paper, we consider the issues involved in creating appropriate problems for a popular mathematics competition, and how such problems differ from problems typically encountered in a classroom. We discuss the differences and similarities in school curricula versus the generally agreed upon topics encountered in international competitions.…

The comprehensive practical activity curriculum can be said to be created to cater to children's curiosity and nature of exploration. Through the creation of problem situations, children are guided not only to explore what the world is, but also to pay close attention to what the world will be and cultivate children's key competencies in the real…

The intention of this article is to provide Technology and Engineering Educators (T&EEs) with a more thorough understanding of implementing the product realization process (PRP) to help manage the design and development processes in their classrooms. The product realization process (PRP) innately involves a practical combination of knowledge,…

Design and Technology as a subject in the secondary school curriculum is a natural cradle for STEM education given the common educational goals. Both require students to create solutions to solve real-world problems via a design process. While doing so, students develop skills like critical thinking, problem solving and creativity that will put…

Marxist philosophy of education plays a key role in contemporary education in China, serving as an important theoretical foundation for reforms. With a history of more than one hundred years in China, Marxist philosophy of education has gone through three major historical stages: emergence (before 1949), localization (from 1949 to 1979), and new…

Drawing on various disciplinary and scholarly approaches to the multiple roles of higher education in society, this paper offers a new conceptualisation of the non-economic contributions of higher education. The conceptual model identifies two basic dimensions in higher education's contributions to society. The first, axiological dimension…

Communication theory can be challenging to teach in an engaging manner. The following original teaching activity suggests a way to incorporate the phenomenon of escape rooms into your theory classroom. Courses: Communication Theory, Introduction to Communication. Objectives: In this activity, students will apply the basic tenets of several…

Open tasks are mathematical problems "that promote mathematical reasoning and problem solving and allow multiple entry points and varied solution strategies" (National Council of Teachers of Mathematics [NCTM], 2014, p. 17). Open tasks can have more than one right answer, solution, or outcome. Facilitation of open tasks offers learning…

In my Keynote Address to PME-NA 45, I offer an embodied framework for naming what makes mathematics powerful for mathematicians and scientists, yet intractable for many learners. The essential claim is this: Students reside in the Real World, where math is grounded, embodied and meaningful, while mathematics resides in the ungrounded, disembodied…

Solving word problems is a large part of algebra coursework and statewide testing. However, solving secondary mathematics word problems is difficult for most students and extremely challenging for students with specific learning disabilities (SLD). In recent meta-analyses, two problem solving strategies emerged as effective for secondary students…