Turing Machines serve as valuable tools for comprehending the theoretical foundations of computer science, providing a panoramic view of all conceivable algorithms. Although this approach is highly enlightening, its abstract nature can pose challenges.
I have been teaching intricate mathematical concepts to college students for several decades, and my philosophy boils down to two Motivation and gradualism.
You must see where the path leads before getting lost in the theorem jungle. Also, each exercise must take you one step higher. Soon enough, you will find yourself at the peak, where the view of the algorithmic landscape is breathtaking!