How to avoid error "Constructor on type 'MyType' not found" when inheriting a base class

I have a Visual Studio 2010 Windows Forms app which includes a Form base class that other classes will inherit. The base class' constructor takes a parameter that the child classes will pass to the base class.

Example:

public partial class BaseForm : Form
{
    public BaseForm(int number)
    {
        InitializeComponent();
    }
}

public partial class ChildForm : BaseForm
{
    public ChildForm(int number)
        : base(number)
    {
        InitializeComponent();
    }
}

The problem that I'm running into is, when I attempt to open the ChildForm in VisualStudio's Design View mode, I receive the following error:

Constructor on type 'MyProject.BaseForm' not found.

Note: regardless of the error, the project compiles and runs fine.

I can avoid the error if I overload the constructor with one that does not contain any parameters.

Example: (This gets rid of the error)

public partial class BaseForm : Form
{
    public BaseForm(int number)
    {
        InitializeComponent();
    }

    public BaseForm()
    {
        InitializeComponent();
    }
}

public partial class ChildForm : BaseForm
{
    public ChildForm(int number)
        : base(number)
    {
        InitializeComponent();
    }
}

My question is, how can I create a base class that does not include a parameterless constructor and avoid the Design View error?