public class NonGenericCollection:CollectionBase
{
    public void Add(TestClass a)
    {
        List.Add(a);
    }
}

public class ConvertTest
{
    public static List<TestClass> ConvertToGenericClass( NonGenericCollection    collection)
    {
        // Ask for help here.
    }
}

public static List<TestClass> ConvertToGenericClass(NonGenericCollection collection)
{
   return collection.Cast<TestClass>().AsList();
}

public static List<TestClass> ConvertToGenericClass(NonGenericCollection collection)
{
   return collection.OfType<TestClass>().AsList();
}

public class EnumerableGenericizer<T> : IEnumerable<T>
{
    public IEnumerable Target { get; set; }

    public EnumerableGenericizer(IEnumerable target)
    {
        Target = target;
    }

    IEnumerator IEnumerable.GetEnumerator()
    {
        return GetEnumerator();
    }

    public IEnumerator<T> GetEnumerator()
    {
        foreach(T item in Target)
        {
            yield return item;
        }
    }
}

IEnumerable<MyClass> genericized =
    new EnumerableGenericizer<MyClass>(nonGenericCollection);

public class ConvertTest
{
    public static List<TestClass> ConvertToGenericClass( NonGenericCollection    collection) throws I
    {
       List<TestClass> newList = new ArrayList<TestClass>
         for (Object object : collection){
             if(object instanceof TestClass){
                newList.add(object)
              } else {
                throw new IllegalArgumentException();
              }
          }
     return newList;
    }
}