The book considers it the most important task of mathematics education to help young people develop their inherent mathematical abilities. It aims to show ways in which a lively and intense relationship between mathematics and learners can be established in the classroom. It seeks to provide prospective teachers with pedagogical experience while also inspiring and encouraging them to try new approaches. The book intends to convey the necessary pedagogical knowledge and offer suggestions. For this second edition, it has been thoroughly revised. Among other things, sections on meaningful computer use and new forms of teaching have been added. Additionally, pedagogical tasks have been included for each chapter. Online materials covering many aspects are provided.