The study programme of General Problems of Mathematics is intended for the graduates of the Master's degree programme of Upper Secondary School Teacher Training in Mathematics. The study programme consists of the following two subprogrammes: History of Mathematics and Upper Secondary and Tertiary School Teacher Training in Mathematics. The first subprogramme focuses on the development of mathematics in the 19th and 20th centuries, and especially on the Czech mathematics; however, the biographic and bibliographic aspects are also addressed. The History of Mathematics is closely related to the questions of teaching mathematics since the development of the branch is often based on the experience transferred by teachers and contained in textbooks. Abroad, the history and didactics of mathematics are often joined in one branch. It was the same in our country in the past - see the works of Q. Vetter (1881-1960) and F. Balada (1902-1961). The doctoral studies in the subprogramme of Teacher Training in Mathematics usually begins only after several years of teaching experience of the applicant, and it is mainly organized as the distance study mode (concurrent verification of the teaching practice). Therefore, writing a textbook can form one part of the doctoral thesis, as well as the collection of exercises, including the comments on methodology, explanation of difficult parts, and others. The work must be supported by an analysis of the results obtained in teaching practice and an informed summary of obtained results.