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

Hi!

I'm trying to use <xsl:with-param> together with <xsl:apply-templates>.

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-File:
*<?xml version='1.0'?>
<xsl:stylesheet version="1.0" 
xmlns:xsl="http://www.w3.org/1999/XSL/Transform";>
<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>

</xsl:stylesheet>

*In the "Room" Template I create a variable with the current wall-ID and 
I can view it by calling <xsl:value-of>. Then I use <xsl:with-param> to 
put the variable in the "Wall" template. And this doesn't work. In the 
"Wall" Template it has no value.
Why? I think <xsl:with-param> must work with <xsl:apply-templates>?!

Thanks for helping
Katharina

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