Purpose: The main goal of this article is to learning define and justify group problem solving as an approach to citizenship education. It is demonstrated that the choice of theoretical framework of democracy has consequences for the chosen learning goals, educational approach and learning activities. The framework used here is an epistemic theory…

Existing studies have quantitatively evidenced the relatedness between problem posing and problem solving, as well as the magnitude of this relationship. However, the nature and features of this relationship need further qualitative exploration. This paper focuses on exploring the interactions, i.e., mutual effects and supports, between problem…

In this paper, we provide insight into the PBL project called PoLiMINT (Problem-oriented Learning in MINT). The project is located at the Bremen University of Applied Sciences and aims to introduce and foster PBL in the introductory phase of a physics study program. Concerning our general conditions, we will present our incremental implementation…

In this article, we provide some useful perspectives and experiences in mentoring students in undergraduate research (UR) in mathematical modeling using differential equations. To engage students in this topic, we present a systematic approach to the creation of rich problems from real-world phenomena; present mathematical models that are derived…

Educators usually mean different constructs when they speak of open tasks: some may refer to pure-mathematics investigative tasks while others may have authentic real-life tasks in mind; some may think of the answer being open while others may refer to an open method. On the other hand, some educators use different terms, e.g. open and open-ended,…

Learning the basic competencies of critical thinking are very important in the education of any young scientist, and teachers must be prepared to help students develop a valuable set of analytic tools. In my experience, this is best achieved by encouraging students to study areas with little scientific consensus, such as the control mechanisms of…

The design and fabrication of functional scientific instrumentation allows students to forge a link between commonly reported numbers and physical material properties. Here, a two-point and four-point probe station for measuring electrical properties of solid materials is fabricated via 3D printing utilizing an inexpensive benchtop…

This article describes the author's experience using SCAMPER, a creativity-building technique, in a creative problem-solving session that was conducted in an environmental conflict course to generate ideas for managing postconflict stability. SCAMPER relies on cues to help students connect ideas from different domains of knowledge, explore random…

Students' difficulties in quantum mechanics may be the result of unproductive framing and not a fundamental inability to solve the problems or misconceptions about physics content. We observed groups of students solving quantum mechanics problems in an upper-division physics course. Using the lens of epistemological framing, we investigated four…

Teaching introductory statistics using curricula focused on modeling and simulation is becoming increasingly common in introductory statistics courses and touted as a more beneficial approach for fostering students' statistical thinking. Yet, surprisingly little research has been conducted to study the impact of modeling and simulation curricula…

Besides being a social experience, tabletop games can serve as intrinsic educational tools that tap into students' needs and interests, inspiring them to find motivation in applying new knowledge to their academic work. Why? Because, as with school, every game has a very specific set of rules by which participants must abide. Experiences with…

Understanding the students' programming misconceptions is critical in that it identifies the reasons why students make errors in programming and allows instructors to design instructions accordingly. This study investigated the mental models of programming concepts held by pre-service teachers who were novice programmers. In an introductory…

We investigate thirty-three second and fifth-grade students' solution strategies on integer addition problems before and after analyzing contrasting cases with integer addition and participating in a lesson on integers. The students took a pretest, participated in two small group sessions and a short lesson, and took a posttest. Even though the…

Knowing the facts is not enough. If we want students to develop intellectually, creatively problem-solve, and grapple with complexity, the key is in "conceptual understanding." A Concept-Based curriculum recaptures students' innate curiosity about the world and provides the thrilling feeling of engaging one's mind. This updated edition…

The EnCoMPASS project (Emerging Communities for Mathematical Practices and Assessment) at the Math Forum and Drexel University has produced a web-based software tool for the assessment of student work. This paper discusses research on the impact of the tool on teachers' attitudes toward work with students in the software environment. The tool…