Here's more of the CBN News interview with Dr. William Dembski, a Texas parent and an expert on the theory of Intelligent Design.
Here are three terms that may be helpful in understanding this video clip.
Microevolution: This term describes small genetic variations in living things, sometimes called "small-scale evolution." This is the part of evolution on which essentially everyone agrees. Some call this "variation and change" to avoid confusion over use of the term "evolution" and its multiple definitions.
Macroevolution: Basically, this is the idea that simple creatures, say bacteria, have developed into increasingly complex creatures such as man. In this interview segment, Dr. Dembski calls it "this grand evolutionary claim." Other equivalents of this term are "the tree of life" or "common ancestry." One problem is the abundance of missing links which create gaping holes in the idea.
Haeckel's Embryos: Ernst Haeckel was a German scientist who said that similarities in the development of embryos showed common macroevolutionary ancestry among those creatures. Critics have rightly suggested that comparing embryos is a superficial approach -- and that the similarities reflect a common designer.