In this study, we examine introductory physics students' ability to perform analogical reasoning between two isomorphic problems which employ the same underlying physics principles but have different surface features. 382 students from a calculus-based and an algebra-based introductory physics course were administered a quiz in the recitation…

This thesis explores the role of multiple representations in introductory physics students' problem solving performance through several investigations. Representations can help students focus on the conceptual aspects of physics and play a major role in effective problem solving. Diagrammatic representations can play a particularly important role…

Metacognitive monitoring and regulation play an essential role in mathematical problem solving. Therefore, it is important for researchers and practitioners to assess students' metacognition. One proven valid, but time consuming, method to assess metacognition is by using think-aloud protocols. Although valuable, practical drawbacks of this method…

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…

Although test scores from similar tests in multiple choice and constructed response formats are highly correlated, equivalence in rankings may mask differences in substantive strategy use. The author used an experimental design and participant think-alouds to explore cognitive processes in mathematical problem solving among undergraduate examinees…

A cognitive construct that is important when solving engineering design problems is executive control process, or metacognition. It is a central feature of human consciousness that enables one "to be aware of, monitor, and control mental processes." The framework for this study was conceptualized by integrating the model for creative design, which…

We investigate the role of external inscriptions, particularly those of a spatial or visual nature, in the solution of probability word problems. We define a taxonomy of external visual representations used in probability problem solving that includes "pictures," "spatial reorganization of the given information," "outcome listings," "contingency…

Recently, reading researchers have come to assume that the ability to synthesize units of information across multiple texts on a topic by comparing, contrasting, synthesizing, integrating, and building a mental representation of them--referred to as multiple-documents literacy--is a far more required literacy in the present knowledge societies…

The Lawrence Hall of Science, a science center, seeks to replicate real-world engineering at the "Ingenuity in Action" exhibit, which consists of three open-ended challenges. These problems encourage children to engage in engineering design processes and problem-solving techniques through tinkering. We observed and interviewed 112…

The problem-solving strategies of students enrolled in general chemistry courses have been the subject of numerous research investigations. In most cases, the investigators were interested in the specific areas or concepts that posed the greatest difficulty to a student's success in achieving the correct answer. However, the investigation reported…

Imagistic reasoning appears to be a critical strategy for learning and problem solving in the sciences, particularly chemistry; however, little is known about how students use imagistic reasoning on genuine assessment tasks in chemistry. The present study employed a think-aloud protocol to explore when and how students use imagistic reasoning for…

This study examines the epistemic beliefs about justification employed by physics undergraduate and graduate students and faculty in the context of solving a standard classical physics problem and a frontier physics problem. Data were collected by a think-aloud problem solving session followed by a semi-structured interview conducted with 50…

Within the current test-centered educational reform movement, considerable emphasis is placed on using assessment results to make instructional decisions for individual students. Test scores are used to estimate a student's current level of skill, monitor his or her progress during instruction, and identify whether the student has gained the…

Fifteen elementary and secondary teacher candidates solved sixteen integer addition and subtraction problems during think-aloud interviews. Investigators further probed participants' solution strategies as well as what they noticed first when starting a new problem. Task analyses of participants' solutions led to the creation of two distinct maps…

Web searching for complex information requires to appropriately evaluating diverse sources of information. Information science studies identified different criteria applied by searchers to evaluate Web information. However, the explicit evaluation instructions used in these studies might have resulted in a distortion of spontaneous evaluation…