Multiplicative reasoning as articulated through scheme theory suggests that students improve the sophistication of their reasoning as they are able to coordinate additional levels of units, often described through students' use of schemes and operation at particular multiplicative concepts. Theoretical descriptions of the second and third…

As part of a research study on student reasoning in quantum mechanics, we examine students' use of ontologies, or the way students' categorically organize entities they are reasoning about. In analyzing three episodes of focus group discussions with modern physics students, we present evidence of the dynamic nature of ontologies, and refine prior…

Context: Diagnostic reasoning is acknowledged as a vital skill for medical practice, but research regarding this core aspect of medical cognition as it pertains to athletic training contexts is scarce. To compare athletic training--specific clinical reasoning skills with those of other health care practitioners, educators need to better understand…

This dissertation presents results from research and curriculum development related to student understanding of the principle of superposition in introductory optics and upper-division quantum mechanics courses. The focus is on the extent to which students are able to relate the mathematical formalism used in physics to real-world phenomena. In…

Diagrams are powerful opportunities for grappling with and learning abstract relationships, for example learning the relations between elements in an ecosystem rather than simply memorizing the objects within the system. Further, what is crucial from any diagrammatic learning opportunity is the ability to use this relational knowledge in a new…

In this paper we are going to show how learning about some counterintuitive aspects of rolling motion can be facilitated by combining the use of analogies with extreme case reasoning. Specifically, the intuitively comprehensible examples of "rolling" polygonal prisms are used as an analogical anchor that is supposed to help the students…

Early experiences of reasoning while playing games of strategy are foundational for future proofs that students will be expected to build using conventionally structured arguments. But how did game playing in school occur? How can educators be sure that mathematical reasoning is going on? The authors investigated these questions to understand how…

This paper reviews Deleuze's theory of language in "Logic of Sense," and Deleuze and Guattari's theory of language in "A Thousand Plateaus." In the ontology informed by the Stoics described in those books, human being and language do not exist separately but in a mixture of words and things. The author argues that this…

This paper discusses the 'telling case' and the manner and extent of its use in social research. The 'telling case,' proposed by Mitchell as a counter to prevailing expectations of typicality, is an ethnographic case study, derived from analytic induction and focused on the exposure of new theoretical insights. By means of an evaluation of the…

Researchers have documented the importance of seeing a graph as an emergent trace of how two quantities' values vary simultaneously in order to reason about the graph in terms of quantitative relationships. If a student does not see a graph as a representation of how quantities change together then the student is limited to reasoning about…

Physics lab courses are integral parts of an undergraduate physics education, and offer a variety of opportunities for learning. Many of these opportunities center around a common learning goal in introductory physics lab courses: measurement uncertainty. Accordingly, when the stand-alone introductory lab course at the University of Colorado…

In physics education, assessments address various forms of scientific knowledge. Most of the existing test instruments emphasise the assessment of content knowledge. These tests fail to measure the epistemic aspects of science. Thus, assessing epistemic knowledge is a theme that demands investigation. This study applies Rasch analysis to help…

The applications of multiple intelligence theory in education are wide. Students apply the learning in the classroom according to their own dominant intelligence and learning style, which is most effective for them. Combining learning styles with dominant intelligences enhances the students' learning processes. The purpose of this case study is to…

The objective of this research is to comparatively analyze the performance of two generations of children (as first generation of immigrants) attending primary and secondary education in different geographical areas, evaluated in different decades but with equivalent age brackets. Two samples of 169 immigrant school populations in Portugal, with…

Training programs for statisticians and data scientists in healthcare should give greater importance to fostering inductive reasoning toward developing a mindset for optimizing Big Data. This can complement the current predominant focus on the hypothetico-deductive reasoning model, and is theoretically supported by the constructivist philosophy…