Students come to their high school physics classroom with experiences and knowledge that can be used to help explain physics concepts, but those experiences may not fully align with the scientifically accepted science concept. When there is a misalignment between a student's prior knowledge and the scientifically accepted concept a misconception…

Think-aloud interviews have been a valuable but underused tool in statistics education research. Think-alouds, in which students narrate their reasoning in real time while solving problems, differ in important ways from other types of cognitive interviews and related education research methods. Beyond the uses already found in the statistics…

This study focuses on proportional division, a specific problem type of proportions and proportional relationships, which embeds a part-part-whole relationship. We investigated how students in grades 6 to 9 solved and perceived three proportional division problems. Analysis of the students' performance on the tasks revealed three types of…

The purpose of this study was to gain insight into 30, first year calculus students' understanding of the relationship between the concept of vertex of a quadratic function and the concept of the derivative. APOS (action-process-object-schema) theory was applied as a guiding framework of analysis on student written work, think-aloud and follow up…

The ability to reason with formal logic is a foundational skill for computer scientists and computer engineers that scaffolds the abilities to design, debug, and optimize. By interviewing students about their understanding of propositional logic and their ability to translate from English specifications to Boolean expressions, we characterized…

Secondary school chemistry teachers' understanding of chemical equilibrium was investigated through interviews using the think-aloud technique. The interviews were conducted with twelve volunteer chemistry teachers in Hong Kong. Their teaching experience ranged from 3 to 18 years. They were asked to predict what would happen to the equilibrium…

Chemical phenomena can be described using three representation modes: macro, submicro, and symbolic. The way students use and connect these modes when solving conceptual problems was studied, using a think-aloud interview protocol. The protocol was validated through interviews with six faculty members, and then applied to four graduate and six…

Explores how a set of possible student misconceptions about solving a complex problem can be used in computer-based intelligent tutoring systems and in computer-based exercise and test generation. Topics discussed include expert systems, misconception covers, discrimination trees, methods of acquiring the set of misconceptions, and protocol…

Explains the differences between successful and unsuccessful problem solvers' exploration of a problem, translation of information into different forms, approach to devising and executing a plan, and rechecking work. (RT)

To determine how middle school students cope with the demands of arithmetic word problems, 140 eighth graders (67 males and 73 females) had to solve problems modeled after those of the National Assessment of Educational Progress. Extraneous information and extra steps reduce the accuracy of students' word problem solutions. (SLD)