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Different Conceptions Of Lines And Points In The Context Of Graphing, Halil Tasova
Different Conceptions Of Lines And Points In The Context Of Graphing, Halil Tasova
College of Education Faculty Publications
In this study, I identified important differences in how students conceive points and lines. For example, students envisioned points as a circular dot that represents two quantities’ measures and envisioned that points on a graph (e.g., a line) do not exist until they are physically and visually plotted. Therefore, they conceived the line as representing a direction of movement of a dot on a coordinate plane. On the contrary, students’ meaning of a line included a record of two covarying quantities with the result of the trace consisting of infinitely many points, each of which represents both quantities’ measures. I …