I would like to use a Grid as an ItemsHost but none of the items appear in their bound (column, row) positions. How can I make this work? As a simple example:
XAML
<ItemsControl ItemsSource="{Binding DataSet}">
    <ItemsControl.ItemTemplate>
        <DataTemplate>
            <TextBlock Grid.Column="{Binding Col}" Grid.Row="{Binding Row}" Text="{Binding Text}"   />
        </DataTemplate>
    </ItemsControl.ItemTemplate>
    <ItemsControl.Style>
        <Style TargetType="{x:Type ItemsControl}">
            <Setter Property="Template">
                <Setter.Value>
                    <ControlTemplate TargetType="{x:Type ItemsControl}">
                        <Grid HorizontalAlignment="Stretch" IsItemsHost="True">
                            <Grid.ColumnDefinitions>
                                <ColumnDefinition />
                                <ColumnDefinition />
                            </Grid.ColumnDefinitions>
                            <Grid.RowDefinitions>
                                <RowDefinition />
                                <RowDefinition />
                            </Grid.RowDefinitions>
                        </Grid>
                    </ControlTemplate>
                </Setter.Value>
            </Setter>
        </Style>
    </ItemsControl.Style>
</ItemsControl>
Codebehind
Class Window1 
    Private myTestData As TestData
    Public Sub New()
        ' This call is required by the Windows Form Designer.
        InitializeComponent()
        ' Add any initialization after the InitializeComponent() call.
        myTestData = New TestData()
        Me.DataContext = myTestData
    End Sub
End Class
Class TestData
    Private myDataSet As List(Of DataPoint)
    Public Property DataSet() As List(Of DataPoint)
        Get
            Return myDataSet
        End Get
        Set(ByVal value As List(Of DataPoint))
            myDataSet = value
        End Set
    End Property
    Public Sub New()
        Me.DataSet = New List(Of DataPoint)
        For x As Integer = 0 To 1
            For y As Integer = 0 To 1
                Me.DataSet.Add(New DataPoint(x, y, "Column " + x.ToString + ", Row " + y.ToString))
            Next
        Next
    End Sub
End Class
Class DataPoint
    Private myRow As Integer
    Public Property Row() As Integer
        Get
            Return myRow
        End Get
        Set(ByVal value As Integer)
            myRow = value
        End Set
    End Property
    Private myCol As Integer
    Public Property Col() As Integer
        Get
            Return myCol
        End Get
        Set(ByVal value As Integer)
            myCol = value
        End Set
    End Property
    Private myText As String
    Public Property Text() As String
        Get
            Return myText
        End Get
        Set(ByVal value As String)
            myText = value
        End Set
    End Property
    Public Sub New(ByVal x As Integer, ByVal y As Integer, ByVal name As String)
        Me.Row = y
        Me.Col = x
        Me.Text = name
    End Sub
End Class
Because you're using an ItemsControl, a container is generated for each item. That container (an instance of ContentPresenter for a plain old ItemsControl) wraps the TextBlock, and is a direct child of the Grid. Therefore, the Grid never even sees the Column and Row properties on the TextBlock because it's looking instead at the container.
You can solve this by setting an ItemContainerStyle that binds the appropriate properties for the container:
<ItemsControl.ItemContainerStyle>
    <Style TargetType="ContentPresenter">
        <Setter Property="Grid.Column" Value="{Binding Column}"/>
        <Setter Property="Grid.Row" Value="{Binding Row}"/>
    </Style>
</ItemsControl.ItemContainerStyle>
Possible workaround: if you use UniformGrid, you may not need to specify the rows and columns.
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