<xsl:with-param> does not work with <xsl:apply-templat

XML-File:
*<?xml version="1.0"?>
<Building>
   <Floor>
       <Room>
           <number>1</number>
           <wall_IDs>
               <wall_ID>123</wall_ID>
               <wall_ID>234</wall_ID>
               <wall_ID>345</wall_ID>
               <wall_ID>456</wall_ID>
           </wall_IDs>
       </Room>
       <Room>
           <number>2</number>
           <wall_IDs>
               <wall_ID>123</wall_ID>
               <wall_ID>678</wall_ID>
               <wall_ID>789</wall_ID>
               <wall_ID>901</wall_ID>
           </wall_IDs>
       </Room>
   </Floor>
   <Wall_List>
       <Wall ID="123">
           <width>2</width>
       </Wall>
       <Wall ID="234">
           <width>3</width>
       </Wall>
       <Wall ID="345">
           <width>2</width>
       </Wall>
       <Wall ID="456">
           <width>1</width>
       </Wall>
   </Wall_List>
</Building>

<xsl:template name="Room" match="Room">
   <!-- ... -->
   <xsl:for-each select="wall_IDs/wall_ID">
       <xsl:variable name="wall_ID" select="."/>
       <xsl:apply-templates select="/Building/Wall_List/Wall">
           <xsl:with-param name="wallID" select="$wall_ID"/>
       </xsl:apply-templates>
   </xsl:for-each>
</xsl:template>

<xsl:template name="Wall" match="Wall">
   <xsl:param name="wallID"/>
   <!-- ... -->
</xsl:template>

Thanks for helping
Katharina