When you have a 2 page php form with just 1 or 3 select menus how would you get it to display as a "pre-selected" menu on the second page?

Code:
PAGE 1
<form name="Test" action="submit" method="post">
<input type="text" name="TEXT3" value="Value3" />
  <select name="OPTION1">
    <option value="OptionValue1">Option Description 1</option>
    <option value="OptionValue2">Option Description 2</option>
    <option value="OptionValue3">Option Description 3</option>
  </select>
<select name="OPTION2">
    <option value="OptionValue4">Option Plan 4</option>
    <option value="OptionValue5">Option  Plan 5</option>
    <option value="OptionValue6">Option Plan 6</option>
  </select>

<input type="text" name="course" value="" />

<input name="submit" id="Submit">
</form>

PAGE 2:
The only answer I have seen gives the input field echo answer below:

<input type="text" name="course" value="<?php echo $course; ?>" /> which does work

but the echo within a select field does not work (at least not for me)

<option value="" <?php echo $_POST['Option1'] == "Chosen1" ? 'selected="selected"' : ''?>>Pick Me</option>
<option value="" <?php echo $_POST['Option2] == "Unwanted" ? 'selected="selected"' : ''?>>No Me</option>

I am looking for a pre-populated select field and then I will have another 6 questions for a final submit

As of now, I am going to use the "<input type="text" name="Option1" value="<?php echo $option1; ?>" /> instead of an option value field.

There is not a database, just a simple formmail on 2 pages with posted variables.

anyone know what works properly?