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We report on a study of sixteen high school calculus and seven precalculus students' concept image and concept definition of continuity after one -trimester of instruction at a large suburban high school in the southwestern United States . The researchers developed a questionnaire based upon the work of Tall and Vinner (1981 ) to determine if calculus students had developed a more sophisticated concept image and concept definition of continuity than students in pre -calculus after a typical treatment in both courses . Using data from the written assessment it was not evident that calculus students demonstrated a more sophisticated concept image and concept definition than pre -calculus students . However , findings suggest that a weak concept image or concept definition of continuity reflects practices in precalculus and calculus instruction . |
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