how to stop selected columns refresh  in wpf datagrid

You are working with datatable  try  to  bind the 'checked' flag field to some column(Boolean) in datatable and when your refresh   the datasource in background worker  you can do merging between previous datatable and new one (datatable.Merge())
that will save state of your checked flags.
in addition is recommended to have primary keys in datatable.

better: please do not  add the check field column to new datatable... on refresh/merge.

We are following the same pattern datatable.Merge() , but it didn't helped me in getting the problem solved. I am filling datatable from dataset , and  using merge on it. Now i am binding the datatable to datagrid.

Please post the code of your binding\refresh section

in my xaml i wrote :
 
<DataGrid Name="dtGrdTemp" HorizontalScrollBarVisibility="Visible"  RowDetailsVisibilityMode="Collapsed" AutoGenerateColumns="False"  ItemsSource="{Binding}" HorizontalAlignment="Stretch" Margin="-2,0,-2,0" Loaded="dtGrdTemplates_Loaded" VerticalAlignment="Stretch" Grid.ColumnSpan="2" Background="White"  CanUserAddRows="False" GridLinesVisibility="All" HorizontalGridLinesBrush="Silver" Width="Auto" VerticalContentAlignment="Stretch"  RowHeight="20" VerticalGridLinesBrush="Silver" SelectionChanged="dtGrdTemplates_SelectionChanged" CanUserResizeColumns="False" IsEnabledChanged="dtGrdTemplates_IsEnabledChanged" AreRowDetailsFrozen="False" SelectionMode="Single">
 
 <DataGrid.Columns>
<DataGridCheckBoxColumn IsReadOnly="False" Selector.IsSelected="False">
</DataGridCheckBoxColumn>  
<DataGridTextColumn Binding="{Binding FileName}" Header="File Name" Width="*"/>
 
.
.
.
 
In code behind window i wrote
 
for binding data i wrote a method with this functionality
 
   getDataForConsole.Tables[tableName].Merge(objPlanningConsoleUIController.GetCachedDataSet()); //filling data from dataset
                if (getDataForConsole.Tables[tableName].Rows.Count > 0)
                {
                                      if (_resetBinding ||
                        dtGrdTemp.ItemsSource == null ||
                        dtGrdTemp.Items.Count == 0)
                    {
                        dtGrdTemp.ItemsSource = getDataForConsole.Tables[tableName].DefaultView;
                        _resetBinding = false;
                    }
                }
 
 
I called this functionality method in background worker in RunWorkerCompleted event.
please tell how to stop refreshing particular datagrid row columns.

ok as I said you need  may be to merge with table without  field flag...
may be it's complex to describe.

First Load of Datatable with primary keys and 'Selected Flag Field'\Column

secondary load and next: Merges  with Table without 'Selected Flag Field'\Column' in Schema.

you can add dynamically the check column in first load: DataTable.Columns.Add("Selected",typeof(Boolean)) and please bind it to checkbox column.

Fixed it by myself.