Students often struggle with concepts from abstract algebra. Typical classes incorporate few ways to make the concepts concrete. Using a set of woven paper artifacts, this paper proposes a way to visualize and explore concepts (symmetries, groups, permutations, subgroups, etc.). The set of artifacts used to illustrate these concepts is derived…

With ongoing concerns about environments that push teachers toward increasingly structured assessments, thus reducing opportunities to observe young learners' mathematical capabilities, the publication of this special issue on formative assessment is especially significant and timely. The articles illustrate how we cannot rely solely on…

This paper attempts to investigate five and six-year old children's ability to formulate logical reasoning. More specifically, our interest focuses on the investigation of young children's ability to use arguments based on logical reasoning. Can pre-school children build arguments based on logical reasoning such as deductive reasoning, or forms of…

While a significant amount of research has been devoted to exploring why university students struggle applying logic, limited work can be found on how students actually make sense of the notational and structural components used in association with logic. We adapt the theoretical framework of unitizing and reification, which have been effectively…

The development of scientific visual literacy has been identified as critical to the training of tomorrow's scientists and citizens alike. Within the context of the molecular life sciences in particular, visual representations frequently incorporate various components, such as discipline-specific graphical and diagrammatic features, varied levels…

The task of turning undergrads into academics requires teaching them to reason about the world in a more complex way. We present the Argument Complexity Scale, a tool for analysing the complexity of argumentation, based on the Integrative Complexity and Conceptual Complexity Scales from, respectively, political psychology and personality theory.…

Primary objective: This study represents the first large-scale research on high school philosophy in a public education curriculum in North America. Our objective was to identify the impacts of high school philosophy, as well as the challenges of teaching it in its current format in Ontario high schools. Research design: The qualitative research…

Scientific reasoning abilities are already developing in elementary-school-aged children and enable them to understand the world around them. The goal of the current study was to develop a new instrument for 8- to 10-year-old children in Grades 3 and 4 to measure their understanding of the steps of the "scientific inquiry cycle" (SIC).…

The establishment and use of nuclear power plants to meet the energy need is a controversial socioscientific issue in all the countries of the world; as in Turkey. In this regard, the current study intended to investigate the effect of the socioscientific issue-based instructional activities related to the Nuclear Energy Plants (NEP) that have…

This study examines progression trends of Chinese students' scientific reasoning skills across grade levels from elementary school to university. A large-scale survey using the Classroom Test of Scientific Reasoning (CTSR) was conducted with 2669 Chinese students at 13 grade levels (grades 4-16). The construct validity of the CTSR was first…

Simulation and modeling activities, a key point of computational thinking, are currently not being integrated into the science classroom. This paper describes a new visual programming tool entitled the Simulation Creation Toolkit. The Simulation Creation Toolkit is a high level pattern-based phenomenological approach to bringing rapid simulation…

Empirical arguments rely on examples without necessarily addressing all cases. Students should be skeptical of empirical evidence and should seek more secure arguments for generalizations, such as those that explain why a generalization is true for all cases. Generalizing on the basis of patterns in data is an important mathematical practice;…

This article reasserts the centrality of reasoning as the focus for moral education. Attention to moral cognition must be extended to incorporate sociogenetic processes in moral growth. Moral education is not simply growth within the moral domain, but addresses capacities of students to engage in cross-domain coordination. Development beyond…

There is much of value for educationists in the work of the great Russian novelist and thinker, Fyodor Dostoevsky. This paper explores a key theme in Dostoevsky's later writings: the notion of a "Golden Age". It compares the ideal depicted in Dostoevsky's story "The Dream of a Ridiculous Man" with the implied utopia of the…

The ability to reason about numbers in relative terms is essential for quantitative literacy, which is necessary for studying academic disciplines and for critical citizenship. However, the ability to reason with proportions is known to be difficult to learn and to take a long time to develop. To determine how well higher education applicants can…