Caml query - get current user name

Question

I have an external list via BDC (so cannot change column type, create calculated column or workflow
). There is a text column “Supervisor”. I need to create a view that display all items which the value of “Supervisor” = current login user’s display name or login name (windows user name). 
I tried set up the field on the UI with [Me] function which does not work because “Supervisor” is not an user/group type column. Now I am working on the code. I found the follow caml query on the web that is close to what I need:
<Eq>
<FieldRef Name='Supervisor' LookupId='TRUE'/>
<Value Type='Integer'><UserID/></Value>
</Eq>
I know this only work if the ‘Supervisor’ type is “User”. I just wonder if someone know how to replace the <Value> with a text string
of the current user’s display name or window name? I really appreciate for any help (I have struggled with this issue for a week).
Forget to mention that I am working on a web part page in SharePoint designer, not in Visual Studio. So I cannot not using spcontext class.

Answer 1

Thank you again for your response.  For this method, I need need to find a way to get the current user to a variable, the use the varrible in the query. This works for me:
<ParameterBinding Name="UserID" Location="CAMLVariable;ServerVariable(LOGON_USER)" DefaultValue="CurrentUserName"/>
<Eq>
<FieldRef Name="Supervisor"/>
<Value Type="Text">{UserID}</Value>
                </Eq>
                <Eq>
<FieldRef Name="AttnMonitor"/>
<Value Type="Text">{UserID}</Value>
               </Eq>