How to make Search Form with Custom Taxonomy Dropdown

hey guys, I wanna make Search Form with Custom Taxonomy Dropdown to my website and I made it but It doesnt work. I dont know why it doesnt work.
I call it as “drop-down-taxonomy.php” in kutuphane folder and I use this code in functions.php “include ‘kutuphane/drop-down-taxonomy.php’; “
and also I use this code to show it on sidebar:

<div id="browselist" class="clearfix">
<h3 class="sidetitle">Arama Listesi</h3>
<p class="listin"><span>Semt</span><br/><?php the_dropdown_taxonomy('semt'); ?></p>
<p class="listin"><span>Listeleme Durumu</span><br/><?php the_dropdown_taxonomy('mdurumu'); ?></p>
</div>

I use this code(drop-down-taxonomy.php):

<?php
function the_dropdown_taxonomy($taxonomy) {
  $id = "{$taxonomy}-dropdown";
  $js =<<<SCRIPT
<script type="text/javascript">
 jQuery(document).ready(function($){
  $("select#{$id}").change(function(){
    window.location.href = $(this).val();
  });
 });
</script>
SCRIPT;
  echo $js;
  $terms = get_terms($taxonomy);
  echo "<select name=\"{$id}\" id=\"{$id}\">";
echo '<option value="#"> - Select - </option>';
  foreach($terms as $term) {
    echo '<option value="';
    echo get_term_link(intval($term->term_id),$taxonomy);
    echo '">' . "{$term->name}</option>";
  }
  echo "</select>";
  }

add_action('init','jquery_init');
function jquery_init() {
  wp_enqueue_script('jquery');
}
?>

When I wrote these code, I can see search form with taxonomy dropdown but when I click or enter, It doesnt work :/
Who will help me about this quesiton?

Notice: I cant talk fluent so write me using simple language
??