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High school precalculus students’ understanding of slope as measure. (English)
Sch. Sci. Math. 101, No. 2, 81-89 (2001).
Twenty-two high school precalculus students were interviewed to examine their understanding of slope as measure. The students examined and discussed real-world situations involving slope: Physical situations involving slope as a measure of steepness and functional situations involving slope as a measure of rate of change. For the various physical situations, students measured steepness with angles instead of ratios. Overall, they demonstrated a better understanding of slope in functional situations, but many students had trouble interpreting slope as a measure of rate of change. Instruction should focus on helping students form connections and providing opportunities for students to communicate their understanding. (author’s abstract)
Classification: C33
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