University students are often asked to learn abstract concepts. Abstract concepts are hard to learn. Giving specific examples can help learning abstract concepts. These examples might limit understanding to the similarities between the abstract domain and particular examples. The primary purpose of this study was to test whether exposure to…

Reasoning about organic chemistry reaction mechanisms requires engagement with multiple concepts and necessitates balancing the relative influence of different chemical properties. A goal of organic chemistry instruction is to support students with engaging in this type of reasoning. In this study, we describe our use of case comparison problems…

My starting point for this paper is a problem in critical thinking pedagogy--the difficult of bringing students to a point where they are able, and motivated, critically to evaluate their own deeply held beliefs. I first interrogate the very idea of a deeply held belief, drawing upon Wittgenstein's idea of a framework belief--a belief that forms…

If an organic chemistry student explains that she represents a mechanistic step because ''it's a productive part of the mechanism,'' what meaning could the professor teaching the class attribute to this statement, what is actually communicated, and what does it mean for the student? The professor might think that the explanation is based on…

The authors point to systemic-theoretical instruction (STI), which underscores the importance of abstract conceptual knowledge in schooling, and dynamic assessment (DA), in which mediators and learners function cooperatively, as examples of the theory-practice relation envisioned by Vygotsky (1987). This article proposes an interactional framework…

This case study examines the salient features of two individuals' reasoning when confronted with a task concerning the cardinality and associated cardinal number of equinumerous infinite sets. The APOS Theory was used as a framework to interpret their efforts to resolve the "infinite balls paradox" and one of its variants. These cases…

This dissertation aims to explore how students think about atomic absorption and emission of light in the area of introductory quantum chemistry. In particular, the impact of classical ideas of electron position and energy on student understanding of spectra is studied. The analysis was undertaken to discover how student learning can be…

Previously, we proposed a model of student reasoning which combines the roles of representation, analogy, and layering of meaning--analogical scaffolding [Podolefsky and Finkelstein, Phys. Rev. ST Phys. Educ. Res. 3, 010109 (2007)]. The present empirical studies build on this model to examine its utility and demonstrate the vital intertwining of…

A method is presented which provides for increased subject involvement in the research design along with greater protection of the subjects' rights of privacy. An experimental analysis revealed that with increased motivation subjects took longer to complete the questionnaire; obtained higher, and less socially desirable, Dogmatism scores; and were…

A new paradigm is presented for investigating how intervening concepts are learned. Results of four experiments involving 85 college students provide converging evidence for the acquisition of intervening concepts. A simple associative learning mechanism is proposed to account for the results. The new paradigm uses a stimulus-response-feedback…

The article describes a study to determine how instruction on the distinction between two theoretical ideas will affect the intake, interpretation, and recall of new information related to but different from the first. (Author/SB)

Children in grades 1, 3, and 5 and college students were given a variety of judgment tasks contrasting the comparison of quantity with the comparison of proportions to determine whether the understanding of proportions develops before formal operations. Results indicated that the comprehension of abstract relations requires formal operations.…

Explored deductive inference processes in concept learning in four age groups. Results confirm findings of age differences in concept problem solving, with likelihood of solving the problem lower in older adults. However, solvers of all ages made the same correct inferences. (Author/JAC)

An experiment was designed to test the hypothesis that abstract materials increase accuracy in solving categorical syllogisms. In an attempt to encourage subjects to reason their way through the problems rather than to make judgments about the truth or desirability of the proffered conclusions, the premises were composed of familiar words in…