WebPart RenderControl Doesn't Render Contents?

I have a custom web part that I am trying to call the RenderContents method on, but the results only contains the surrounding div for the web part, and not any child controls.

Take for example this simple web part:

namespace MyWebParts
{
public class MyTestWebPart : WebPart
{
public MyTestWebPart()
{
this.CssClass = "myTestWebPart";
}
protected override void CreateChildControls()
{
base.CreateChildControls();
this.Controls.Add(new LiteralControl("Nothing here yet."));
}
}
}

Then, in an http handler, I'm trying to instantiate this web part and call its RenderControl method. The result is <div class="myTestWebPart"></div>.

Does anyone know why I am not getting my controls from CreateChildControls also added to the output?