Problem-based learning (PBL) fosters both content knowledge and content understanding, improves critical and process thinking skills, and promotes peer-to-peer learning, leadership, and teamwork (Hmelo-Silver 2004). Instructors support the PBL process by guiding students through activities that challenge their current knowledge and understanding…

Research on problem solving typically does not address tasks that involve following detailed and/or illustrated step-by-step instructions. Such tasks are not seen as cognitively challenging problems to be solved. In this paper, we challenge this assumption by analyzing verbal protocols collected during an Origami folding task. Participants…

"Mathematics is one of the greatest cultural and intellectual achievements of humankind, and citizens should develop an appreciation and understanding of that achievement, including its aesthetic and even recreational aspects" (NCTM 2000, p. 4). In addition to NCTM, many professional organizations such as the National Research Council…

The implementation of history education at universities has not yet seen able to give optimal results. This study aims to propose a model for improving the quality of history education in higher education. It poses the primary research question: what is the quality improvement model of history education like according to the needs analysis? The…

In many mathematics curricula, the notion of limit is introduced three times: the limit of a sequence, the limit of a function at a point and the limit of a function at infinity. Despite the use of very similar symbols, few connections between these notions are made explicitly and few papers in the large literature on student understanding of…

Every day, 27,000 trees are used to make bathroom tissue. Americans use an average of 23.6 rolls per person per year, and more than 7 billion rolls of toilet paper are sold yearly in the United States alone. Perhaps the amount of bathroom tissue used can be reduced by changing the dimensions of the paper or the core. This brief article presents…

Given the central role of creativity in the future post-information society, a call for a pragmatist approach to the study of creativity is advocated, that brings as a consequence the recognition of the dynamic nature of this phenomenon. At the foundation of the proposed new theoretical framework lies the definition of creativity itself, which is…

Education at its best allows students to experience the fruitfulness and joy of the creative process. One complexity of applying research findings to education is that creative work unfolds in phases and the various phases engage distinctively different cognitive processes. Since Wallas first described four phases, psychologists have elaborated on…

Past innovation research has focused on business contexts and prodigy, leaving the insights of today's successful innovators in a range of fields overlooked in their utility to inform the education of our next generation of innovators. This mixed method study combined surveys (n = 500) and interviews (n = 30) of Canadian innovators to identify…

Background and Context: Women are underrepresented in the field of computer science, a trend that in part can be traced to girls' early experiences with the discipline. Objective: Our aim is to show how three girls who became strong coders talked about their debugging practice at the intersection of problem solving, emotion, and identity. Method:…

Bioscientists such as geneticists and molecular biologists regularly demonstrate the integration of domain concepts and science inquiry practices/skills while explaining a natural phenomenon. The complexity of these concepts and skills becomes manifold at the tertiary undergraduate level and are known to be challenging for learners. They learn…

Technology integration in K-12 mathematics has received increased attention in the last decade as new mathematical technologies have been developed and implemented more often. There is a need for further research on these technologies and for effective implementation practices of technology in mathematics education in general. in practice,…

This paper presents findings from a two-year qualitative study examining integration of computer science (CS) and computational thinking (CT) into elementary mathematics instruction. Integrated units were developed by elementary teachers and CS/CT coaches with support from university faculty with expertise in CS/CT and elementary mathematics.…

The use of systems in many introductory courses is limited and often implicit. Modeling two or more objects as a system and tracking the center of mass of that system is usually not included. Thinking in terms of the center of mass facilitates problem solving while exposing the importance of using conservation laws. We present below three…

This experiment describes a simple protocol for teaching acid-base titrations using potentiometry, conductivity, and/or photometry to determine end points without an added indicator. The chosen example examines the titratable acidity of a red wine with NaOH. Wines contain anthocyanins, the colors of which change with pH. Importantly, at the…