Currently when the "Hide Ignored Tags" option is enabled in the preferences, any question with an ignored AND an interesting tag is hidden. This keeps many "interesting" questions from being seen when this option is used. This works fine for those who want to ignore homework, but not so good if the volume of questions in topics alien to the user is overwhelming.
To fix this, it is proposed that a new option "Keep Interesting Tags" be added. When "Hide Ignored Tags" is enabled, the behavior of enabling "Keep Interesting Tags" is to show any questions that have both interesting and ignored tags. When "Hide Ignored Tags" is disabled, the setting of "Keep Interesting Tags" has no effect (and could be hidden from the user).