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    \documentclass[10pt]{beamer}
    \usetheme{Singapore}

    \defbeamertemplate{frametitle}{withoutframenumber}{%
      \insertframetitle\hfill\par \small \insertframesubtitle
    }

    \setbeamertemplate{frametitle}{%
      \insertframetitle\hfill\insertframenumber\par \small \insertframesubtitle
    }

    \author{Verfasser}
    \title{Thema}

    \begin{document}

    \begin{frame}[t]{}
      \titlepage
    \end{frame}

    {% lokal halten der Änderung
      \setbeamertemplate{frametitle}[withoutframenumber]
      \begin{frame}[t]{Inhaltsverzeichnis}
        \tableofcontents
      \end{frame}
    }

    \setcounter{framenumber}{0}

    \section{Grundmodell}
    \begin{frame}[t]{Grundmodell}
      \begin{itemize}
        \item  
      \end{itemize}
    \end{frame}
    \end{document}

\documentclass[smaller,professionalfonts]{beamer}
\usepackage[T1]{fontenc}

\usetheme{Singapore}
\setbeamertemplate{frametitle}{\insertframetitle\hfill\insertframenumber\par \small \insertframesubtitle}

\author{Verfasser}
\title{Thema}

\begin{document}
  \begin{frame}[t]{}
	  \titlepage
  \end{frame}

  \setbeamertemplate{frametitle}{\insertframetitle\par \small \insertframesubtitle}  % Foliennummer weglassen

  \begin{frame}[t]{Inhaltsverzeichnis}
	  \tableofcontents
  \end{frame}

  \setcounter{framenumber}{0}
  \setbeamertemplate{frametitle}{\insertframetitle\hfill\insertframenumber\par \small \insertframesubtitle}

  \section{Grundmodell}

  \begin{frame}[t]{Grundmodell}
	  \begin{itemize}
		  \item  
	  \end{itemize}
  \end{frame}
\end{document}