Kinsey Bain

A review of research on the teaching and learning of chemical kinetics

We review literature on the teaching and learning of chemical kinetics at both the secondary and tertiary levels. Our aim in doing so is to summarize research literature, synthesize recommendations for future research, and suggest implications for practitioners. Two main bodies of literature emerged from the chemical kinetics education research: student understanding and instructional approaches to teaching. The student understanding findings are discussed in light of the anchoring concepts content map for general chemistry. We also review relevant literature about research on undergraduate mathematics education, as mathematics is often used as the primary language of communicating chemical kinetics. Finally, we discuss directions for future research and implications for practice.

The characterization of cognitive processes involved in chemical kinetics using a blended processing framework

Chemical kinetics is a highly quantitative content area that involves the use of multiple mathematical representations to model processes and is a context that is under-investigated in the literature. This qualitative study explored undergraduate student integration of chemistry and mathematics during problem solving in the context of chemical kinetics. Using semi-structured interviews, participants were asked to make their reasoning and thinking explicit as they described provided equations and as they worked though chemical kinetics problems. Here we describe the results from our study, which included thirty-six general chemistry students, five physical chemistry students, and three chemical engineering students. Analysis and findings are framed in terms of blended processing, a theory from cognitive science that characterizes human knowledge integration. Themes emerged relating to contexts that were commonly discussed when blending occurred. Variation in the depth and directionality of blending was also observed and characterized. Results provide implications for supporting student problem solving and the modeling of chemical processes.

Covariational reasoning and mathematical narratives: investigating students’ understanding of graphs in chemical kinetics

Graphical representations are an important tool used to model abstract processes in fields such as chemistry. Successful interpretation of a graph involves a combination of mathematical expertise and discipline-specific content to reason about the relationship between the variables and to describe the phenomena represented. In this work, we studied students’ graphical reasoning as they responded to a chemical kinetics prompt. Qualitative data was collected and analyzed for a sample of 70 students through the use of an assessment involving short-answer test items administered in a first-year, non-majors chemistry course at a Swedish university. The student responses were translated from Swedish to English and subsequently coded to analyze the chemical and mathematical ideas students attributed to the graph. Mathematical reasoning and ideas related to covariation were analyzed using graphical forms and the shape thinking perspective of graphical reasoning. Student responses were further analyzed by focusing on the extent to which they integrated chemistry and mathematics. This was accomplished by conceptualizing modeling as discussing mathematical narratives, characterizing how students described the “story” communicated by the graph. Analysis provided insight into students’ understanding of mathematical models of chemical processes.