Toyota Kata is about thinking and doing, they are both connected. We need to detect defects in our thinking by doing (aka experimenting). Meanwhile, we use Scientific Thinking to reflect on the results from our doing and to decide what to do next. Scientific Thinking and Deliberate Practice create a virtuous circle for improvement by adapting based on reality. Toyota Kata can be enabler for ground-breaking findings we learned from various researchers and authors. Some of these books are listed below.
Kata School Midwest 