Abstract
INVESTIGATION OF THE OPERATIONAL AND CONCEPTUAL KNOWLEDGE LEVELS OF THE DISTANCE AND OPEN NEIGHBORHOODS CONCEPTS IN THE METRIC SPACES ENTRY COURSE
The focus of this study is on the conceptual and procedural knowledge levels related to the distance function of the students studying in the second grade of Mathematics and Science Education Department and the determination of neighborhoods and their graphs defined according to different metrics on the same set. The data of the study in which the qualitative research design was used was obtained from responses given to 4 open-ended questions applied to 28 teacher candidates who attended the Department of Mathematics and Science Education at a state university. The questions were analyzed by two independent field experts and presented under the findings. As a result of the research, it has been seen that most of the learners are able to make the metric definition but make some mistakes in the operational part of the definition. It has been observed that some of the students have difficulty in determining the neighborhood of a point and drawing and commenting on their graph.
Keywords
Metric space, open neighborhoods, mathematics education, conceptual, operational.
