For those wondering what EXACTLY needs to be done to keep rows selected even as you scroll up down. It's the state_activated The rest is taken care of by internal functionality, you don't have to worry about toggle, and can select multiple items. I didn't need to use notifyDataSetChanged() or setSelected(true) methods.
Add this line to your selector file, for me drawable\row_background.xml
<?xml version="1.0" encoding="utf-8"?>
<selector xmlns:android="http://schemas.android.com/apk/res/android">
<item android:state_pressed="true" android:drawable="@android:color/holo_blue_light"/>
<item android:state_enabled="true" android:state_pressed="true" android:drawable="@android:color/holo_blue_light" />
<item android:state_enabled="true" android:state_focused="true" android:drawable="@android:color/holo_blue_bright" />
<item android:state_enabled="true" android:state_selected="true" android:drawable="@android:color/holo_blue_light" />
<item android:state_activated="true" android:drawable="@android:color/holo_blue_light" />
<item android:drawable="@android:color/transparent"/>
</selector>
Then in layout\custom_row.xml
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
android:layout_width="fill_parent"
android:layout_height="wrap_content"
android:padding="10dip"
android:background="@drawable/row_background"
android:orientation="vertical">
<TextView
android:id="@+id/line1"
android:layout_width="wrap_content"
android:layout_height="wrap_content" />
</LinearLayout>
For more information, I'm using this with ListView Adapter, using myList.setChoiceMode(ListView.CHOICE_MODE_MULTIPLE_MODAL); and myList.setMultiChoiceModeListener(new MultiChoiceModeListener()...
from this example: http://www.androidbegin.com/tutorial/android-delete-multiple-selected-items-listview-tutorial/
Also, you (should) use this structure for your list-adapter coupling: List myList = new ArrayList();
instead of: ArrayList myList = new ArrayList();
Explanation: Type List vs type ArrayList in Java