The Handbook of Productive Calculation Exercises has established itself over many years as a practical guide that has opened up new perspectives for many (aspiring) teachers for innovative mathematics instruction. The completely revised new edition of the second volume on semi-written and written calculation serves as a fundamental reference text for conducting teaching experiments in both training phases and in practice. In the new edition, the authors particularly aimed to highlight the advantages of a mathematical foundation in teaching for both children and teachers, to present "lightning calculation" as a central tool for support and diagnosis in a clearer light, to integrate the new software "Tiles & Co. Digital," and to enhance the user-friendliness of the handbook. The goal is not only to provide tools for effective and reflective teaching practice but also to promote active engagement with elementary school mathematics. This can be personally enriching for educators and significantly benefits the classroom experience. Numerous downloadable templates encourage deeper engagement and can be directly used in teaching. The handbook is aimed at teacher education students, trainees, educators, and trainers who wish to become familiar with the fundamental topics of calculation instruction in elementary school and want to design their teaching professionally.