Mathematics teachers' strive to prepare their students to use mathematics in powerful ways both in and out of school. However, students' ability to use certain mathematical ideas, objects, and processes depends largely on the meanings they develop for the topics they study. Some meanings are simply more beneficial and useful than others. Here, Siebert describes a meaning that many students seem to develop for logarithms as a result of the way logarithms are currently taught and show both why this meaning is problematic and why mathematical sophisticates may struggle to see how this meaning limits the students' ability to understand and reason with logarithms.
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