The "Guide to Arithmetic" is a comprehensive textbook specifically designed for students in teacher training programs. It provides a solid foundation for competent arithmetic instruction and covers central topics such as proof techniques and alternative calculation methods. The content is consistently aligned with insights from learning psychology and encourages example-based exploration of mathematical statements and proofs. Interesting side entries and references to everyday questions further motivate readers. The revised new edition includes new chapters on set theory and operational proofs, as well as an updated section on calculation tricks. A comprehensive section with solution hints at the end of the book supports independent learning and deepening of the content.