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2 Removed rant. The answer is nice and clean and advice on beamer-use should be in its own place.
\documentclass[handout]{beamer}


achieves what you want. I also write

\mode<handout>{
\usetheme{default}
\setbeamercolor{background canvas}{bg=black!5}
\pgfpagesuselayout{4 on 1}[letterpaper,landscape,border shrink=2.5mm]
}


which in particular gives you 4 slides per page, and some nicer formatting (shaded backgrounds, for example).

You can also use

\documentclass[trans]{beamer}


which disables all the uncovering, but otherwise leaves things very much like in usual beamer mode.

(Some unsolicited advice to anyone using beamer -- as per the recommendations in the manual, only use \pause and related commands when you have a special reason to. Don't use them just because you have an itemize, enumerate, or several paragraphs on the slide. It's annoying, usually distracting, and perhaps even demeaning to your audience. </rant>)

\documentclass[handout]{beamer}


achieves what you want. I also write

\mode<handout>{
\usetheme{default}
\setbeamercolor{background canvas}{bg=black!5}
\pgfpagesuselayout{4 on 1}[letterpaper,landscape,border shrink=2.5mm]
}


which in particular gives you 4 slides per page, and some nicer formatting (shaded backgrounds, for example).

You can also use

\documentclass[trans]{beamer}


which disables all the uncovering, but otherwise leaves things very much like in usual beamer mode.

(Some unsolicited advice to anyone using beamer -- as per the recommendations in the manual, only use \pause and related commands when you have a special reason to. Don't use them just because you have an itemize, enumerate, or several paragraphs on the slide. It's annoying, usually distracting, and perhaps even demeaning to your audience. </rant>)