As digital technologies become a commonplace in mathematics classrooms, they transform the ways students and teachers interact with mathematics. Students learn to use a technological tool for solving mathematical tasks through a process known as instrumental genesis. Teachers' support for this process is known as instrumental orchestration. In…

Teaching students statistical programming languages while simultaneously teaching them how to debug erroneous code is challenging. The traditional programming course focuses on error-free learning in class while students' experiences outside of class typically involve error-full learning. While error-free teaching consists of focused lectures…

This qualitative research examines the cognitive processes embedded in self-explanations of automobile and motorcycle service technicians performing troubleshooting tasks and solving technical problems. In-depth interviews were conducted with twelve service technicians who have obtained the designation of "master technician" or equivalent within…

Student modeling--the task of building dynamic models of student ability--is fraught with uncertainty, caused by such factors as multiple sources of student errors, careless errors and lucky guesses, learning and forgetting. Within the context of the Sherlock intelligent tutoring systems project, we have been experimenting with various ways of…

This paper encourages the use of Total Quality Management (TQM) tactics and other strategies as a practical means of fostering a quality culture in institutional research offices of higher education institutions. In particular, four approaches are advocated for understanding and minimizing errors: (1) use of TQM tactical tools to enhance work…

A mental model is a knowledge structure composed of concepts and the relations between them. Mental models are distinct from declarative and procedural knowledge--they go beyond semantic relationships and skills acquisition and contain varied intellectual skills and knowledge. This study describes an initial investigation into the construct…

Thirty six senior students in chemical engineering were randomly assigned to three treatment groups in an experimental study that examined the impact of different instructional strategies for troubleshooting malfunctions in a computer-based simulation of a chemical processing plant. In two groups, different types of worked examples,…

An effective training program for preparing troubleshooters provides knowledge needed to understand the technology, teaches the process of troubleshooting, and provides the opportunity to practice using their knowledge and skill to diagnose faulty equipment. Recent research and common sense indicate many troubleshooting programs overemphasize…

Several studies have shown the difficulties students encounter in making sense of situations involving rate of change. This study concerns how students discover errors and refine their knowledge when working with rate of change. The part of the study reported here concerns the responses of four precalculus students to a task which asked them to…

Electronic troubleshooting expertise was explored in the three contexts (design, production, and repair) that reflect distinct problem solving task environments. The purpose of the effort was to provide a more precise definition of the boundaries of expertise in electronics troubleshooting and the relationship of context to the development of…

Critical and situated thinking in the respiratory care profession were examined through an exploratory factor analysis of the critical thinking behaviors of a sample of 868 respiratory therapists. The respiratory therapists completed a survey instrument containing 44-questions related to how well particular critical thinking behaviors are…