He took seriously his role of an educator, encouraging the introduction of differential and integral calculus at school level, and writing several high-school textbooks.
One example is Principles of Elementary Algebra, adapted to the curriculum in the Polish Kingdom (1911), which followed the so-called Meran programme that aimed to teach students to think in terms of functions.
The committee's criticism focused on erroneous and unscientific reasoning in some of his papers, and cited the lack of clarity even in his expository works.
[2] As Böttcher worked in a mathematical discipline considerably removed from the interests of other Lwów mathematicians, he found little support from his peers.
Indeed, his partial results and conclusions were forgotten, and a complete theory came about only decades later following the independent investigations of Pierre Fatou, Gaston Julia, Samuel Lattès and Salvatore Pincherle.