An honors thesis provides a highly motivated student with the opportunity to participate in the research process from start to finish.
Students participate in formulating the question to be researched and the experimental design.
Students collect data, analyze that data and complete a final written report. Many students are given the opportunity to present their results at a national or international scientific meeting. In some instances, the thesis is worked up into a publishable manuscript. Do not limit yourself to one faculty member - find out what research everyone is doing and whether they are interested in taking on a thesis student. Look carefully for a well-defined project that can reasonably be completed in two or three semesters worth of work.