Preserving Checked Checkboxes in 4.1

We are using APEX 4.1 with an 11.2.0.3 database.  I am very inexperienced with APEX.  My question is regarding preserving checked checkboxes in a tabular report.

 

I have a master-detail form and report.  Both tables are “read only” for the end user.  Many of the normal APEX built-in procedures for creating and updating tables have been removed.   The APEX page should allow the user to select certain report options, select one or more detail records, then branch to different reports depending on the report options selected.  Using the default [row selector] checkbox, I was able to accomplish this – as long as the detail records would fit on one screen.  Then I realized the checkbox state was not preserved when paging through the detail records.