In this thesis, we have analyzed textbooks for the subject Informatics which are approved by the Ministry of Science and Education for the 2019./2020. school year. In particular, the analysis based on chapters and topics related to the mathematical basics of computer work. By analyzing the textbooks we have identified both positive and negative aspects and highlighted and commented on them. After the analysis, we have suggested some activities and examples that can properly address these topics. In the first chapter we analyzed the textbooks for the fifth grade of elementary school, which deals with the topic Binary numbers. This topic covers the concepts of bits, bytes and conversion from binary to decadal numbering system and vice versa. Although the teaching content covering the topic of Binary numbers is quite modest, we can see that the textbooks provide interesting examples with real-life contexts that we consider essential for students. We have supplemented the chapter with suggestions for activities and examples that teachers can use. This way, the main goal of School for life and the new National Curriculum for Informatics is achieved, which is learning through playing and connecting with situations from everyday life. The second chapter refer to the sixth and seventh grades of elementary school, but the topics that would be of interest to us do not appear here. In chapter four, we analyzed the textbooks for the eighth grade of elementary school, which deals with the topic related to the basics of mathematical logic. In most of the textbooks, the chapter on logical functions begins with an explanation of the term logic, followed by definitions of the terms logical statement, logical variable, logical function and logical circuit. In analyzing these teaching topics, we have found a lot of inconsistencies in the approaches of different authors. We have identified several inappropriate approaches, illogical examples, and factual errors, which we consider unacceptable. For this reason, we have provided some examples that would better address the topic and provide students more benefit but also a better understanding.