add_action( 'wp_dashboard_setup', 'display_current_user_posts_widget' );

function display_current_user_posts_widget() {

	wp_add_dashboard_widget( 'current-user-posts', 'Your latest posts', 'display_current_user_posts' );

}

function display_current_user_posts() {

$current_user = wp_get_current_user();

$current_ID = $current_user->ID;

$current_user_posts_opts = array (
	'showposts' => 3,
	'author' => $current_ID,
	);

$current_user_posts_query = new WP_Query($current_user_posts_opts);

if ( $current_user_posts_query->have_posts() ) {

 	while ( $current_user_posts_query->have_posts() ) : $current_user_posts_query->the_post();

	?><a href="<?php the_permalink() ?>" title="<?php the_title(); ?>"><?php the_title('<p>', '</p>'); ?></a>

	<?php
	endwhile;

} else { echo "You haven't written any posts yet."; }

}