This video walks through the basic use of Drupal 7's Render API for outputting content, and gives some hands-on experience in navigating and working with renderable arrays. We expand the Menu Magic module by creating several different kinds of page elements to show how renderable arrays work.
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This video covers a topic in Drupal 7 which may or may not be the version you're using. We're keeping this tutorial online as a courtesy to users of Drupal 7, but we consider it archived.