Static homepage still showing posts ? why ?

please post a link to your site to illustrate what is showing on your front page;

are you using the ‘showcase template’ for the static front page?

do you have any ‘sticky’ posts in your site?

are you working with a child theme?

creating a child theme is strongly recommended if you want to customize the default theme; http://codex.wordpress.org/Child_Themes

are you using any footer widgets?

can you post a screenshot of your front page?

heu … how to insert a screenshot ?

you need to upload your image to an image hosting site (such as http://imageshack.us/ – no recommendation, do your own search to find one) and then post the link to the uploaded image here.

this looks like the front page is using ‘showcase template’ –

check when you edit the page – on the right under ‘page attributes’;

if so, then there are some solutions…

possibility one:

a css ‘quick fix’:
add this to style.css of the child theme:

.page-template-showcase-php .recent-posts { display:none; }

or, if you actually only want to remove those recent posts from the static front page, try:

.home.page-template-showcase-php .recent-posts { display:none; }

possibility two:

more complex, but imho a cleaner solution;
edit the template showcase.php, and remove this section:

<section class="recent-posts">
					<h1 class="showcase-heading"><?php _e( 'Recent Posts', 'twentyeleven' ); ?></h1>

					<?php

					// Display our recent posts, showing full content for the very latest, ignoring Aside posts.
					$recent_args = array(
						'order' => 'DESC',
						'post__not_in' => get_option( 'sticky_posts' ),
						'tax_query' => array(
							array(
								'taxonomy' => 'post_format',
								'terms' => array( 'post-format-aside', 'post-format-link', 'post-format-quote', 'post-format-status' ),
								'field' => 'slug',
								'operator' => 'NOT IN',
							),
						),
						'no_found_rows' => true,
					);

					// Our new query for the Recent Posts section.
					$recent = new WP_Query( $recent_args );

					// The first Recent post is displayed normally
					if ( $recent->have_posts() ) : $recent->the_post();

						// Set $more to 0 in order to only get the first part of the post.
						global $more;
						$more = 0;

						get_template_part( 'content', get_post_format() );

						echo '<ol class="other-recent-posts">';

					endif;

					// For all other recent posts, just display the title and comment status.
					while ( $recent->have_posts() ) : $recent->the_post(); ?>

						<li class="entry-title">
							<a href="<?php the_permalink(); ?>" title="<?php printf( esc_attr__( 'Permalink to %s', 'twentyeleven' ), the_title_attribute( 'echo=0' ) ); ?>" rel="bookmark"><?php the_title(); ?></a>
							<span class="comments-link">
								<?php comments_popup_link( '<span class="leave-reply">' . __( 'Leave a reply', 'twentyeleven' ) . '</span>', __( '<b>1</b> Reply', 'twentyeleven' ), __( '<b>%</b> Replies', 'twentyeleven' ) ); ?>
							</span>
						</li>

					<?php
					endwhile;

					// If we had some posts, close the <ol>
					if ( $recent->post_count > 0 )
						echo '</ol>';
					?>
				</section><!-- .recent-posts -->

this change will only effect pages which are using the ‘showcase template’.

the blog page = posts page is done by index.php …