You could use a MultivalueConverter in which you will pass the ListOfStrings Dictionary and the Tag property of the TextBox like so:
  <Window.Resources>
    <ns:ValuFromDicConverter x:Key="ValuFromDicConverter"/>
</Window.Resources>
<Grid>
    <TextBox Tag="0" x:Name="tb">
        <TextBox.Text>
            <MultiBinding Converter="{StaticResource ValuFromDicConverter}">
                <Binding Path="ListOfString"/>
                <Binding ElementName="tb" Path="Tag"></Binding>
            </MultiBinding>
        </TextBox.Text>
    </TextBox>
</Grid>
the converter will simply get the corresponding value in the Dictionary:
 public class ValuFromDicConverter : IMultiValueConverter
{
    public object Convert(object[] values, Type targetType, object parameter, CultureInfo culture)
    {
        if (values == null) return null;
        return (values[0] as Dictionary<string, string>)[values[1].ToString()];
    }
    public object[] ConvertBack(object value, Type[] targetTypes, object parameter, CultureInfo culture)
    {
        throw new NotImplementedException();
    }
}
and don't forget to define your dictionary as a property and set the DataContext
    private Dictionary<string, string> _listOfString = new Dictionary<string, string>
    { 
        {"0", "TextToDisplay" }
    };
    public Dictionary<string, string> ListOfString
    {
        get
        {
            return _listOfString;
        }
        set
        {
            if (_listOfString.Equals(value))
            {
                return;
            }
            _listOfString = value;
        }
    }