Use the [children-excerpt] shortcode where you want to display the excerpts of the child pages. Defaults to the first 50 words, can be overridden with length attribute so your excerpts can be set to any length of your choosing.
Developer Website: http://MyWebsiteAdvisor.com
Plugin Page: http://mywebsiteadvisor.com/tools/wordpress-plugins/children-excerpt-shortcode/
Video Tutorial: http://mywebsiteadvisor.com/learning/video-tutorials/children-shortcode-plugins-tutorial/
Requirements:
To-do:
This plugin is available for download for your site.