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This is a subjective question, but common reasons I have heard (and reasons I would have) include:

  • Fear of students editing records to manipulate what you said
  • Fear of having a mistake you made taken out of context and spread widely
  • Concern that it encourages students to not pay as close of attention
  • Concern that students will not feel they need to attend class if they have acceess to the lecture outside of class.
  • Concern that students in the class will not feel as comfortable asking questions or contributing to discussion, since they are also being recorded
  • Institutional concern about a course's lectures being widely distributed online, when in fact these lectures are for (paying) enrolled students--a type of "intellectual property" concern

Edit: Also, you might just want to be aware, when bringing up problems getting easily distracted in the class, a professor might take that somewhat personally. Many committed teachers go out of their way to try to make their class as interesting and engaging as possible. If a student asked to record lectures because they are getting distracted or zoning out during class, I would not hear: "I am trying to do this to improve my learning;" I would hear: "I am trying to compensate for your short-comings as a teacher". Not all instructors will feel this way, but that's just something to keep in mind as you broach that conversation.