The research design for this project is descriptive [observational]. Mathematics professors, grad student teachers, and undergraduate students are observed. This project includes a tutoring intervention.
The project is developing assessments of student relational understanding of several DE solution techniques. These involve multiple choice, short-answer, and longer written or sketched answers questions administered pencil-and-paper or electronically.
The transcripts of tutoring are manually analyzed for tutorial goal structures and linguistic phenomena. Tutoring pre-tests and post-tests are analyzed for learning gains using simple statistics. Interviews with professors are analyzed manually. Assessments are tested for validity and reliability both internally and against other measures.
This project has plans to make originally collected data available to others. Other researchers may examine the repositories of tutorial dialogues.