Printing a book double sided, but not in usual duplex manner

"I have printed many PDF files (that are just one page after another) in book format just as you have described.

In Adobe Acrobat Reader 9:

Open the file.
Click File > Print.
In the Page Handling group, set Paper Scaling to Booklet Printing.
If your printer cannot duplex, set Booklet Subset to Front Side only.
Click Properties.
Set the paper size to A4 (the Properties dialog is printer/driver specific).
Click OK.
Click Print.
If you printed the front side only in step 4, reload the paper.
Repeat steps 4-9, substituting Back Side only for Front Side only in step 4.
Cut the pages.
Bind the pages.

Edit:

I have included a diagram of what the print dialog looks like for me in Adobe Acrobat Reader 9. The arrow points to what I mention in step 3."

"Total PDF Printer program features a lot of printing modes and adjustable parameters that will help to optimize the process of printing PDF files. To save the paper, it offers ability to print PDF files in duplex mode, i.e. print PDF pages from both sides of paper sheet.

You do not need to turn each sheet by your hands, as the program changes printer settings so that this process is automated. When you deal with many files, it would be a great help.

Total PDF Printer is a perfect suit for personal or professional use for printing PDF files. It automatically connects to all printers enabled in the system and redirects printing tasks to the trays you specify."